<figure><img src="image_1.png" /></figure>

HAL
open science

Bifurcation and non linear eigenvalue problems: a
tentative bibliography

R. Lozi

► To cite this version:

R. Lozi. Bifurcation and non linear eigenvalue problems: a tentative bibliography. [Research Report]
RT-0018, INRIA. 1982, pp.120. inria-00070138

HAL Id: inria-00070138

https://inria.hal.science/inria-00070138

Submitted on 19 May 2006

**HAL** is a multi-disciplinary open access
archive for the deposit and dissemination of sci-
entific research documents, whether they are pub-
lished or not. The documents may come from
teaching and research institutions in France or
abroad, or from public or private research centers.

L'archive ouverte pluridisciplinaire HAL, est
destinée au dépôt et à la diffusion de documents
scientifiques de niveau recherche, publiés ou non,
émanant des établissements d'enseignement et de
recherche français ou étrangers, des laboratoires
publics ou privés.
<figure><img src="image_2.png" /></figure>

CENTRE
SOPHIA ANTIPOLIS

Institut National
de Recherche
en Informatique
et en Automatique

Domaine de Valuceau
Rocquencourt
BP 105
78153 Le Chesnay Cedex
France
Tel. 954 90 20

Rapports Techniques

Nº 18

BIFURCATION AND
NONLINEAR EIGENVALUE
PROBLEMS:
A TENTATIVE BIBLIOGRAPHY

René LOZI

Novembre 1982
BIFURCATION AND NONLINEAR EIGENVALUE PROBLEMS :

A TENTATIVE BIBLIOGRAPHY

by René LOZI

Assistant professor

Institut de Mathématiques et Sciences Physiques

UNIVERSITE DE NICE

Parc Valrose 06034 Nice CEDEX

FRANCE

Issue n° 1 June 1982

Authors: 365 Entries: 806

Being updated steadily

Bifurcation theory deals with parameter dependent problems. It was initially concerned with the situation where two or more different branches of solutions intersect or where the number of solutions changes when the parameter varies.

One may explain the name Bifurcation given to that theory by the analogy of a stroller who walks along a trail and meets a bifurcation on his path. Now this simplest case of bifurcation is called PITCHFORK bifurcation (see e.g. [392]).

As previously studied problems were very often equations of the form $F(u) = \lambda u$ in Banach space, $\lambda$ being a real parameter and dependence upon $u$ being nonlinear, one called those problems Nonlinear Eigenvalue Problems instead of bifurcation problems. However this denomination justified by a peculiar form of the equations leads to consequential mistakes with Genera-
BIFURCATION AND NONLINEAR EIGENVALUE PROBLEMS :

A TENTATIVE BIBLIOGRAPHY

René LOZI

Université de Nice

Résumé :

Cette bibliographie préliminaire de problèmes de bifurcation et de valeurs propres non linéaires essaye de donner une vue assez complète de la littérature mathématique occidentale qui existe sur ce sujet. Ce fascicule avec 806 entrées et 365 auteurs est un document provisoire devant être complété par de nouvelles références dans le but d'établir une base de données de théorèmes.

Abstract :

This tentative bibliography of bifurcation and nonlinear eigenvalue problems tries to give a comprehensive account of the western existing mathematical literature on this field of research. This issue with 806 entries and 365 authors is a preliminary document destined to be strengthened by addition of new references for the purpose of to make up a theorem-data-base.

<figure><img src="image_3.png" /></figure>
lized eigenvalue problems $Au = B(λ)u$, where dependence upon $u$ is linear, also called Nonlinear eigenvalue problems.

Together with the term bifurcation, the terms peeling, branching, buckling, snapping, synergetics are used accordingly to the special part of the theory or applications being studied.

Since, mainly the work of E.Hopf, bifurcation theory is also concerned with the situation where there is a qualitative change on the nature of solutions. Bifurcation of limit cycles from singular points, bifurcation of tori from limit cycles, cascade of bifurcations toward weak turbulence and many other examples can be furnished of such a qualitative change. In fact important improvements of bifurcation theory are now done in this area.

In its first issue with 806 entries and 365 different authors, this tentative bibliography tries to give a comprehensive account of the western existing mathematical literature on this field of research. That issue is merely a preliminary document destined to be strengthened by addition of new entries. In this aim the author would greatly appreciate receiving preprints, reprints or even references of articles which have not been included and hints on new researches. Russian mathematical literature on this field will be analysed in forthcoming issues together with the historical part of the theory which does not appear in this issue.

The entries of the bibliography are listed automatically by a five-levels tree-sorting worked out by a FORTRAN routine: BIBLIO developed by the author. The five levels are the following (in decreasing order):

1) alphabetical with respect to the authors

2) annual

3) alphabetical with respect to the names of journals, books

4) numerical with respect to the issues of journals

5) numerical with respect to the number of the first page of each article.

Abbreviations of names of journals are those used in MATHEMATICAL REVIEWS whenever they are available. Several entries (372) include the references to reviews in Mathematical Reviews so as to facilitate an easy access to condensed information (reviews or summaries). For some titles written in German or Italian an English translation in brackets is given (see e.g. [541], [796]). The topics covered here are listed in annex A.
The author's purpose in writing this bibliography is to provide usable self-contained information in the field of bifurcation theory and applications.
This work is divided in three steps. The first one is the collecting of related reprints preprints or titles. This issue is the result of a first collecting. The second step is to do an analysis of all documents and a tree-classification (main branches being: the kind of

i) analysed documents

ii) studied problems

iii) results

iv) used tools

etc ...

from the branch ii) secondary branches may be those given in an-
nex A. etc...)

For the third step of this work we have to consider figure 1 where we show
the annual flow rate of entries in both Mathematical Review and Zentralblatt
für Mathematik. This flow rate is strongly increasing and extrapolations give
85,000 entries for 1985 and 120,000 entries for 1990. There are more than
600,000 entries for the period 1940-1981. The number of all entries from 1940
to 1958 is equal to the number of all entries in 1980 and 1981.

One may suppose that the number of articles and books related to bifurcation
in the literature covered by M.R. and Zbl. is between 2,000 and 5,000. These
numbers are given taking into account the procedure used for the first col-
lecting. Then bifurcation theory and applications represent from 0,3% to 0,8%
of mathematics. This seems of a reasonable size to achieving a quasi-exhaus-
tive analysis of all contributions in this field. As it appears that informa-
tion belonging to these contributions is redundant,a strong way to simplify
access to the results is to compare theorems,hypotheses,proofs between them
and to give the synthesis either in the form of an encyclopaedia or in a
"theorem-data-base" form. The second form is more convenient to future
readers and corresponds to the fact that in the near future it
will not be possible to read more than one per thousand of the mathematical
publications. Then the third step of this work is the making-up of a "theorem-
data-base" in bifurcation theory and applications which synthetize all results
hypotheses,proofs,applications of bifurcation theory. The realization of this
third step requires both people and computing systems. Every form of help is
welcome.
<figure><img src="image_4.png" /><figcaption>Figure 1</figcaption></figure>
Annex A.

The topics covered in this issue include concerning:

1) the type of bifurcation or branching

{asymptotic, of codimension two, coincident, degenerate, dimensional, generic, global, Hopf, Hopf-Friedrichs, imperfect, local, perturbed, pitchfork, repeated, secondary, semi-symmetric} bifurcation.

{complex, one-sided} bifurcation points

bifurcation at {eigenvalue of odd multiplicity, double eigenvalue}

bifurcation from {continuous spectrum, essential spectrum, infinity, normal eigenvalue, multiple eigenvalue}

bifurcation in {Hilbert space, infinite dimension, locally convex topological vector spaces, normed spaces, ordered Banach spaces}

bifurcation in a neighbourhood of a non-isolated symmetry, bifurcation in variational case, bifurcation into tori, bifurcation to {chaotic regime, chaotic orbit}, bifurcation together more than one norm, bifurcation under nongeneric conditions, bifurcation without eigenvalue. Interaction of bifurcations, Integral averaging bifurcation, Pattern and Cellular bifurcation.

{axisymmetric, semi-symmetric branching}

kind of parameter: multiparameter, real parameter, without parameter

studies of: branches of bifurcation, continuum (continua), isolated critical continua, turning points

2) the type of studied problems:

i) Bending, Buckling, Post buckling, Peeling, Snapping, Whirling

Axisymmetric bending of shallow spherical shells, Nonlinear bending of circular plates,

Buckling of {{ shallow } spherical} caps, compressed elastic column, {circular, clamped, {thin} elastic} plates, plate with general edge conditions, nonlinearly elastic {arches, rods}, rotating rods, {clamped, rigidly clamped hemispherical, {thin} spherical} shells, cylindrical shells with small curvature, hollow spheres and hemispheres, elastic-plastic solids in the plane {strain, stress}}, membrane buckling, {non linear} buckling of rectangular plates, buckling and postbuckling of three-hinged portal frame, buckling for the set of umbilic catastrophes.

Collapse of shallow elastic membranes. Nonlinear deflections of shallow spherical shells, axisymmetric deformation of conical shells, spatial deformation of {nonlinear elasticity, nonlinear elastic {rods, structures}}.
Peeling of mutiple generating singular points. Post-buckling of { an asymmetric two-bar frame, elastic structures }. Topological classification of post-buckling phenomena. Shear and necking instabilities in nonlinear elasticity. Spherical cap snapping. Nonlinear vibrations of simply supported beams. Whirling of {circular plates, heavy elastic strings}.

### ii) names of equations

{First BBGKY, non-linear Boltzmann, Boussinesq, chaos form prototype, Duffing, Feigenbaum functional, {Fitzhugh's} nerve-conduction, Ginzburg-Landau, Grad-Shafranov, Hartree, Hartree-Fock, Hogkin-Huxley, Master, Mathieu, {incompressible} Navier-Stokes, Orr-Sommerfeld, quasi-geostrophic, Sine-Gordon, Volterra's population, Von Karman} equation, {differential, logistic} difference equation, {autonomous, retarded} functional, integro, multi-valued, stochastic} differential equation, {differential delay, semi-linear evolution, nonlinear {functional, integral}, quadratic integral, quasi-linear elliptic} equation.

Non-linear second order O.D.E. on the half-line, second order O.D.E. on differentiable manifolds. Non-linear {elliptic, hyperbolic, parabolic} P.D.E. Equation arising in population genetics, equations with {non local potentials, unbounded linearized part}.

### iii) names of models

{Ecosystem, Field-Noyes, Fitzhugh-Nagumo nerve conduction, Onsager's, density dependent population} model(s).

Fluid flow model of Lorenz, Kauffman's model of morphogenesis, model for the respiratory process of bacterial culture.

### iv) names of operators

{monotonically compact, completely continuous, non-continuous, positively convex, Fredholm, non-compact, non-symmetric gradient, Green's, compact integral, nonlocal, maximal monotone, monotone nonlinear, {nondifferentiable, odd} potential, odd variational} operators.

{sublinear} Hammerstein operators {with oscillation kernels}

### v) names of problems

{Alternative, Benard, free boundary, free surface, immune response, mildly non-linear eigenvalue, obstacle, predator-prey, {nonlinear} Steklov, sublinear Sturm-Liouville, {asymptotically} superlinear} Sturm-Liouville, Taylor, variational} problem.

Dirichlet and Neumann problem without eigenvalue, problems {for unbounded domains, with discontinuous non-linearities, in rheological fluid mechanics}.
### vi) names of systems

{biological,chemical,complex,{resonant} dynamical,ecological,simple feedback, gradient,first order Hamiltonian,realistic immobilized enzyme,nonlinear integro differential,second order {Lagrangian,non-Lagrangian},piecewise linear non autonomous,predator-prey,quadratic,reaction-diffusion,statistically stressed fluid} systems,system possessing a first integral,Hamiltonian systems at resonance,reactive-diffusive system with Arrhenius kinetics.

### vii) miscellaneous

Belousov-Zhabotinskii reaction,buoyant dissipative motions in vertical channels, chimical reactor,classification and unfolding,Ekman flow,exchange of stabilities, Fredholm mapping,frequency locking,completely unstable flows on the cylinder, Galton-Watson processes,Hamilton's principle,Hénon attractor,the hunting of a railway axle,hysteresis,K-set contractions,Lorenz attractor;Morse-Smale flows, nonlinear recurrence relation,nonlinear three waves coupling,onset of turbulence, pattern formation in convective phenomena,analysis of spatial and temporal pattern formation,Poiseuille flow,Rayleigh-Benard experiment,rotating and convecting fluids,solutions with crystalline symmetry,forced Van der Pol oscillator,{bifurcating,permanent} waves.
Bifurcation in economic equilibrium theory,bifurcation of {map of interval, orientation reversing diffeomorphisms of the circle,quadratic function,triple periodic orbits},Hopf bifurcation for nonlinear semi-groups.

## 3) The type of the tools

### i) Degree, Index

{generalized,Leray-Schauder,topological} degree,generalized cohomological index theories for Lie group actions,{fixed point,fuller,Seifert,alternative topological} index.

### ii) methods

#### iia) numerical methods

{shooting, numerical} algorithm, {discrete, numerical} approximation,continuation of Newton's method through bifurcation, points,constructive technique,finite element method,interactive computer graphics, numerically irrelevant solutions, convergent iteration scheme.

#### iib) classical methods

{continuation,group theoretic,Lyapunov, Lyapunov-Schmidt,Newton,Nystrom,Poincaré's perturbation,projection,variational} methods.

### iii) Theories

bifurcation theory of M.A. Krasnoselskii, {catastrophe, asymptotic fixed point, critical point, group representation, Lusternik-Schnirelman, Morse, singularity,
stability } theories.

Generalized cohomological index theories for Lie group action.

iv) others

A priori bounds, calculus of variations in the large, center manifold, concave solutions, alternative of Fredholm, factorization theorems, multiple positive fixed point, Floquet exponents, generalized inverse { of a linear differential operator }, genericity, global { analysis, homotopies }, group { actions, representation }, transformations groups, implicit function theorem, monotone iterations, anti-maximum principle, minimax principle, perturbation, reduction principle, structural stability, symmetry breaking, { global } topological perturbations, type of Marston-Morse.
[ 1 ]

ABBOT, JAMES P.
NUMERICAL CONTINUATION METHODS FOR NONLINEAR EQUATIONS AND BIFURCATION PROBLEMS
PH.D. THESIS ALSTRALIAN NATIONAL UNIVERSITY JUNE [1977]

[ 2 ]

ABBOT, JAMES P.
AN EFFICIENT ALGORITHM FOR THE DETERMINATION OF CERTAIN BIFURCATION POINTS
J.COMPLT.AFPL.MATH. VOL4 NO1 [1978] PP19-27

[ 3 ]

ABRAHAM, RALPH H.
DYNASIN: EXPLORATORY RESEARCH IN BIFURCATIONS USING INTERACTIVE COMPLTER GRAPHICS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP676-684

[ 4 ]

AL-RAWI,A.A.; FOCRE,A.B.
SOME APPLICABLE HOFF BIFURCATION FORMULAS AND AN APPLICATION IN WIND ENGINEERING
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP590-604

[ 5 ]

ALEXANDER, J.C.; FITZPATRICK, P.M.
BIFURCATION OF THE FIXED POINTS OF PARAMETRIZED CONDENSING FUNCTIONS
PREPRINT

[ 6 ]

ANANN, HERBERT.
EXISTENCE OF MULTIPLE SOLUTIONS FOR NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS
INDIANA UNIV.MATH.J. VOL21 NO10 (1972) PP925-935 MR47#9054

[ 7 ]

ANANN, HERBERT
ON THE NUMBER OF SOLUTIONS OF NONLINEAR EQUATIONS IN ORDERED BANACH SPACES
J. FUNCTIONAL ANALYSIS VOL11 [1972] PP346-384 MR50#10931

[ 8 ]

ANANN, HERBERT
LUSTERNIK-SCHNIRELMAN THEORY AND NON-LINEAR EIGENVALUE PROBLEMS
MATH.ANN. VOL199 (1972) PP55-72 MR50#3028

[ 9 ]

ANANN, HERBERT
ON THE NUMBER OF SOLUTIONS OF ASYMPTOTICALLY SUPERLINEAR TWO POINT BOUNDARY VALUE PROBLEMS
ARCH.RATIONAL MECH.ANAL. VOL55 [1974] PP207-213 MR50#676
[ 10 ]

APAN, HERBERT

MULTIPLE POSITIVE FIXED POINTS OF ASYMPTOTICALLY LINEAR MAPS

J. FUNCTIONAL ANALYSIS VOL 17 PP 174-213 [1974] MR50#3020

[ 11 ]

APAN, HERBERT

ON POSITIVE SOLUTIONS FOR NONLINEAR EIGENVALUE PROBLEMS

PROCEEDINGS OF THE CONFERENCE ON PROBLEMS IN NONLINEAR FUNCTIONAL

ANALYSIS (LIV. ECNN, ECNN 1975) PP 51-52

GESELLSCH.MATH.CATENVERARBEITUNG ST-AUGUSTIN [1975] MR56#6150

[ 12 ]

ANNA, HERBERT; LAETSCH, THEODORE

POSITIVE SOLUTIONS OF CONVEX NONLINEAR EIGENVALUE PROBLEMS

INDIANA LMIV.MATH.J. VOL 25 [1976] NO 3 PP 259-270 MR54#5620

[ 13 ]

ANNA, HERBERT

NONLINEAR EIGENVALUE PROBLEMS HAVING PRECISELY TWO SOLUTIONS

MATH.Z. VOL 150 [1976] NO 1 PP 27-37 MR54#721

[ 14 ]

ANNA, HERBERT

FIXED POINT ECLATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED

BANACH SPACES

SIAM REV. VOL 18 NO 4 [1976] PP 620-709 MR54#3519

[ 15 ]

ANNA, HERBERT

SUPERSECTIONS, MONOTONE ITERATIONS, AND STABILITY

J. DIFFERENTIAL EQUATIONS VOL 21 NO 2 PP 363-377 [1977] MR52#11226

[ 16 ]

AMBROSETTI, ANTONIC; PRODI, GIOVANNI

ON THE INVERSION OF SOME DIFFERENTIABLE MAPPINGS WITH

SINGULARITIES BETWEEN BANACH SPACES

ANN.MAT.PLRA APPL. VOL 23 NO 4 [1972] PP 231-247 MR47#9377

[ 17 ]

AMBROSETTI, ANTONIC

ESISTENZA DI INFINITE SOLUTIONS FOR THE PROBLEM IN NON LINEAR IN

ASSENZA DI PARAMETRC

ATTI ACCAD.NAZ.LINCEI REND.CL.SCI.FIS.MAT.NATUR. VOL 52 NO 8 [1972]

FP 660-667 MR48#9103

[ 18 ]

AMBROSETTI, ANTONIC

ON THE EXISTENCE OF MULTIPLE SOLUTIONS FOR A CLASS OF NONLINEAR

BOUNDARY VALUE PROBLEMS

REND.SEM.MAT.LNIV.PADOVA VOL 49 [1973] PP 195-204 MR49#844

[ 19 ]

AMBROSETTI, ANTONIC; PRODI, GIOVANNI

ON THE INVERSION OF SOME DIFFERENTIABLE MAPPINGS WITH

SINGULARITIES BETWEEN BANACH SPACES

THEORY OF NONLINEAR OPERATORS (PRCC, SUMMER SCHOOL, BABYLN,

CZECHOSLAVAKIA 1971) PP 9-28 ACADEMIA PRAGUE [1973] MR52#4331
[ 20 ]

AMBROSETTI, ANTONIC
A FERTURBATION THEOREM FOR SUPERLINEAR BOUNDARY VALUE PROBLEMS
REPORT SCLCLA NCRM, SUP, PISA [1974] 18P.

[ 21 ]

AMBROSETTI, ANTONIC
SOME REMARKS ON THE BUCKLING PROBLEM FOR A THIN CLAMPED SHELL
RICERCHE MAT. VCL23 [1974] NC2 PP161-170 MR53#4680

[ 22 ]

AMBROSETTI, ANTONIC; MANCINI, GICVANNI
THECREWS OF EXISTENCE AND MULTIPLICITY FOR NONLINEAR ELLIPTIC
PROBLEMS WITH ACNINVERTIBLE LINEAR PART
ANN.SCLCLA NCRM, SUP, PISA CL.SCI. (4) VOL5 [1978] NO 1 PP15-28
MR58#6680

[ 23 ]

AMBROSETTI, ANTONIC
ON THE EXACT NUMBER OF POSITIVE SOLUTIONS OF CONVEX NONLINEAR
PROBLEMS
BOLL.UN.MAT.ITAL. A(5) VOL15 [1978] NC 3 PP610-615 MR80D:35059

[ 24 ]

AMBROSETTI, ANTONIC; MANCINI, GICVANNI
EXISTENCE AND MULTIPLICITY RESULTS FOR NONLINEAR ELLIPTIC PROBLEMS
WITH LINEAR PART AT RESONANCE. THE CASE OF THE SIMPLE EIGENVALUE
J.CIFFERENTIAL EQUATIONS VOL28 [1978] NC 2 PP220-245 MR58#11901

[ 25 ]

ANTMAN, STUART S.
EXISTENCE AND NONUNIQUENESS OF AXISYMMETRIC EQUILIBRIUM STATES OF
NONLINEARLY ELASTIC SHELLS
ARCH.RATIONAL MECH.ANAL. VOL40 NC5 [1971] PP329-372 MR43#2889

[ 26 ]

ANTMAN, STUART S.
QUALITATIVE THEORY OF THE ORDINARY DIFFERENTIAL EQUATIONS OF
NONLINEAR ELASTICITY
MECHANICS TODAY VOL1 [1972] PP58-101

[ 27 ]

ANTMAN, STUART S.; JORDAN, KATHLEEN B.
QUALITATIVE ASPECTS OF THE SPATIAL DEFORMATION OF NON-LINEARLY
ELASTIC RODS
PRCC, RCY, SCC, ECINBLRGH SECT.A VOL73 [1975] PP85-105 MR53#12151

[ 28 ]

ANTMAN, STUART S.
BIFURCATION PROBLEMS FOR NONLINEARLY ELASTIC STRUCTURES
(APPLICATIONS OF BIFURCATION THEORY) ACADEMIC PRESS [1977]
PP74-125

[ 29 ]

ANTMAN, STUART S.; CARBONE, ERNEST R.
SHEAR AND NECKING INSTABILITIES IN NONLINEAR ELASTICITY
J. ELASTICITY VOL7 NC2 [1977] PP125-151 MR56#10272
[ 30 ]

ANTMAN.STUART S.
BUCKLED STATES OF NONLINEARLY ELASTIC PLATES
ARCH.RATIONAL MECH.ANAL. VCL67 NO2 [1978] PP111-149

[ 31 ]

ANTMAN.STUART S.; ROSENFELD.GERALD
GLOBAL BEHAVIOR OF BUCKLED STATES OF NONLINEARLY ELASTIC RODS
SIAN REV. VCL2C NO3 [1978] PF513-566

[ 32 ]

ANTMAN.STUART S.; LIL.TAI-PING
TRAVELLING WAVES IN HYPERELASTIC RODS
QUART.APPL.NATH. [1979] PP377-399

[ 33 ]

ANTMAN.STUART S.; NACHMAN.ARJE
LARGE BUCKLED STATES OF ROTATING RODS
NONLINEAR ANAL.(TO APPEAR)

[ 34 ]

ANTMAN.STUART S.
NONLINEAR EIGENVALUE PROBLEMS FOR THE WHIRLING OF HEAVY ELASTIC
STRINGS
PRCC.RCY.SCC.ECINBLRGH SECT.A (TO APPEAR)

[ 35 ]

ANTMAN.STUART S.; DUNN.J.ERNEST
QUALITATIVE BEHAVIOR OF BUCKLED NONLINEARLY ELASTIC ARCHES
TO APPEAR IN J.ELAST.

[ 36 ]

ARIARATNAM.S. T.; CUBEY.R. N.
SOME CASES OF BIFURCATION IN ELASTIC-PLASTIC SOLIDS IN PLANE
STRAIN
QUART.APPL.NATH. VCL27 [1969] NO 3 PF349-358

[ 37 ]

ARIARATNAM.S. T.; CUBEY.R. N.
BIFURCATION IN ELASTIC-PLASTIC SOLIDS IN PLANE STRESS
QUART.APPL.NATH. VCL27 [1969] NO 3 PF381-390

[ 38 ]

ARIS.RUTHERFORD
CHEMICAL REACTORS AND SOME BIFURCATION PHENOMENA
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP314-331

[ 39 ]

ARNECC.A.; LANGFORD.W.F.; COLLET.PIERRE; TRESSER.CHARLES;
CCSTE.JEAN
A MECHANISM FOR A SOFT MODE INSTABILITY
PHYS.LETT.A. VCL78 NC 1 [1980] PP11-14
[ 40 ]

ATKINSON, KENDALL E.
ITERATIVE VARIANTS OF THE NYSTROM METHOD FOR THE NUMERICAL
SOLUTION OF INTEGRAL EQUATIONS
NUMER.MATH. VCL22 PP17-31 [1973]

[ 41 ]

ATKINSON, KENDALL E.
THE NUMERICAL EVALUATION OF FIXED POINTS FOR COMPLETELY CONTINUOUS
OPERATORS
SIAM J. NUMER. ANAL. VCL10 NC5 [1975] PP799-807 MR49#11327

[ 42 ]

ATKINSON, KENDALL E.
CONVERGENCE RATES FOR APPROXIMATE EIGENVALUES OF COMPACT INTEGRAL
OPERATORS
SIAM J. NUMER. ANAL. VCL12 NC2 [1975] PP213-222 MR55#11653

[ 43 ]

ATKINSON, KENDALL E.
THE NUMERICAL SOLUTION OF A BIFURCATION PROBLEM
SIAM J. NUMER. ANAL. VCL14 N04 [1977] PP584-599 MR56#7164

[ 44 ]

ALCHMITY, J.F.G.
LYAPLNOV METHODS AND EQUATIONS OF PARABOLIC TYPE
LECTURE NOTES IN MATH. VOL322 PP1-14 NONLINEAR PROBLEMS IN THE
PHYSICAL SCIENCES AND BIOLOGY [1973] SPRINGER BERLIN

[ 45 ]

ALCHMITY, J.F.G.; NICCLIS, G.
DISSIPATIVE STRUCTURES, CATASTROPHES, AND PATTERN FORMATION: A
BIFURCATION ANALYSIS
PRCC.NAT.ACAD.SCI.L.S.A. VOL71 [1974] NC7 PP2748-2751 MR55#13083

[ 46 ]

ALCHMITY, J.F.G.; NICCLIS, G.
BIFURCATION ANALYSIS OF NONLINEAR REACTION-DIFFUSION
EQUATIONS-I. EVOLUTION EQUATIONS AND THE STEADY STATE SOLUTIONS
BULL.MATH.BIOLOGY VOL 37 [1975] PP323-765 MR53#15409A

[ 47 ]

ALCHMITY, J.F.G.; NICOLIS, G.
BIFURCATION ANALYSIS OF NONLINEAR REACTION-DIFFUSION
EQUATIONS-III. CHEMICAL OSCILLATIONS
BULL.MATH.BIOLOGY VOL 38 [1976] PP325-350 MR56#12609

[ 48 ]

ALCHMITY, J.F.G.; NICCLIS, G.
ERROR OF BIFURCATION ANALYSIS
BULL.MATH.BIOLOGY VOL 39 [1977] PP505-507

[ 49 ]

ALCHMITY, J.F.G.
BIFURCATING WAVES
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN.CF OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP263-278
[ 50 ]

BAIVE, DANIELA; FRANCESCHINI, VALTER
SYMMETRY BREAKING ON A MODEL OF FIVE-NODE TRUNCATED NAVIER-STOKES
EQUATIONS
PREPRINT

[ 51 ]

BAKER, M.H.; MCCRE, D.W.; SPIEGEL, E.A.
APERIODIC BEHAVIOR OF A NON-LINEAR SCILLATOR
GLART, J.MECH APPL MATH. VOL24 PART4 [1971] PP391-422

[ 52 ]

BANCROFT, STEPHEN; HALE, JACK K. K.; SWEET, DANIEL
ALTERNATIVE PROBLEMS FOR NONLINEAR FUNCTIONAL EQUATIONS
J. DIFFERENTIAL EQUATIONS VOL4 [1968] PD40-56 MR36#3184

[ 53 ]

BAUER, FRANCES; REISS, E.L.; KELLER, H.B.
BOUNDARY IMPERFECTIONS IN THE BUCKLING OF SPHERICAL CAPS
SIAN J. APPL. MATH. VOL15 NO2 [1967] PP273-283

[ 54 ]

BAUER, LOUIS; REISS, E.L.
NONLINEAR BUCKLING OF RECTANGULAR PLATES
J. SOC. INDUST. APPL. MATH. VOL13 NO3 [1965] PP603-626

[ 55 ]

BAUER, LOUIS; REISS, E.L.; KELLER, M.B.
AXISYMMETRIC BUCKLING OF HOLLOW SPHERES AND HEMISPHERES
COMM. PURE APPL. MATH. VOL23 [1970] PP520-568 MR43#4335

[ 56 ]

BAUER, LOUIS; REISS, E.L.; KELLER, M.B.
AXISYMMETRIC BUCKLING OF RIGIDLY CLAMPED HEMISPHERICAL SHELLS
INTERNAT. J. NON-LINEAR MECH. VOL8 [1973] PP31-39

[ 57 ]

BAUER, LOUIS; REISS, E.L.; CALLEGARI, ANDREW J.
ON THE COLLAPSE OF SHALLOW ELASTIC MEMPRANES
NONLINEAR ELASTICITY PP1-30 [1973] ACADEMIC PRESS INC. NEW YORK
LONDON

[ 58 ]

BAUER, LOUIS; REISS, E.L.; KELLER, H.B.
MULTIPLES EIGENVALLES LEAD TO SECONDARY BIFURCATION
SIAN REV. VCL17 [1975] PP101-122 MR51#14714

[ 59 ]

BALLEY, NORMAN W.; ZWAHLEN, BRUNO
ESTIMATION OF THE BIFURCATION COEFFICIENT FOR NONLINEAR EIGENVALUE
PROBLEMS
Z. ANGEL. MATH. PHYS. VOL20 [1969] PP281-288 MR40#6314
[ 60 ]

BAZLEY.NORMAN W.; ZWAHLEN.BRUNC
A BRANCH OF POSITIVE SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS
MANLSCRIPTA MATH. VOL2 [1970] PP365-374 MR42#3628

[ 61 ]

BAZLEY.NORMAN W.; ZWAHLEN.BRUNC; REEKEN.MICHAEL
GLOBAL PROPERTIES OF THE MINIMAL BRANCH OF A CLASS OF NONLINEAR
VARIATIONAL PROBLEMS
MATH.Z. VOL123 [1971] PP301-309 MR44#7401

[ 62 ]

BAZLEY.NORMAN W.; REEKEN.MICHAEL
LOWER BOUNDS FOR CRITICAL VALUES
MATH.REPORT BATTELLE ADV.STUDIES CENTER [1972]

[ 63 ]

BAZLEY.NORMAN W.; SEYDEL.R.
EXISTENCE AND BOUNDS FOR CRITICAL ENERGIES OF THE HARTREE OPERATOR
MATH.REPORT BATTELLE ADV.STUDIES CENTER [1973]

[ 64 ]

BAZLEY.NORMAN W.; PIMBLEY.GEORGE H.JR.
A REGION OF NC SECONDARY BIFURCATION FOR NONLINEAR HAMMERSTEIN
OPERATORS
Z.ANGEW.NATH.PHYS. VOL25 [1974] PP743-751 MR50#14398

[ 65 ]

BAZLEY.NORMAN W.
APPROXIMATION OF OPERATORS WITH REDUCING NONLINEARITIES
MANLSCRIPTA MATH. VOL18 [1976] NC4 PP353-369 MR53#14240

[ 66 ]

BAZLEY.NORMAN W.; MCLEOD.J.B.
BIFURCATION FROM INFINITY AND SINGULAR EIGENVALUE PROBLEMS
PROC.LONDON MATH.SOC. VOL34 [1977] (30 NO2 PP231-244 MR55#11117

[ 67 ]

BEAVERS.G.S.; JOSEPH.DANIEL C.
FREE SURFACE PROBLEMS IN RHEOLOGICAL FLUID MECHANICS
RHECL.ACTA VOL16 [1977] PP169-189

[ 68 ]

BEIRAC-DA-VEIGA.HLGO; DIAS.JOAC-PALLC
SUR LA SLRJECTIVITE DE CERTAINS OPERATEURS NON LINEAIRES LIES ALEX
INEGLATIONS VARIATIONNELLES
BOLL.UN.MAT.ITAL. VOL10 (4) [1974] PP52-59 MR52#1433

[ 69 ]

BEIRAC-DA-VEIGA.HLGO
SULL PIL GRANDE PLUTO DI BIFURCAZIONE POSITIVO PER UNA CLASSE DI
OPERATORI FOTENZIALI NON DIFFERENZIABILI
ATTI ACCAD.NAZ.LINCEI REND.CL.SCI.FIS.MAT.NATUR. VOL59 SER.8 (6)
[1975] PP615-619

[ 70 ]

BEIRAC-DA-VEIGA.HLGO
DIFFERENTIABILITY AND BIFURCATION POINTS FOR A CLASS OF MONOTONE
NONLINEAR OPERATORS

ANN. NAT. PUBL. APPL. VCL110 (4) [1976] PP321-333 MR55#6251

[ 71 ]

BEIRAO-DA-VEIGA.HUGO

EXISTENCE OF STRONG SOLUTIONS FOR A CLASS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS SATISFying NONLINEAR BOUNDARY CONDITIONS
ANN. SCIENT. NORD. SUP. PISA CL. SCI. VCL3 SER.4 NO3 [1976] PP377-404
MR55#3888

[ 72 ]

BEIRAC-DA-VEIGA.HUGO

BIFURCATION DANS DES ESPACES DE BANACH POUR UN COUPLE D'OPERATEURS NON DIFFERENTIABLES A L'ORIGINE
C.R.ACAD.SCI.PARIS SER.A-B VCL283 (1976) PP329-331 MR55#1165

[ 73 ]

BEIRAC-DA-VEIGA.HUGO

ON BIFURCATION AND ASYMPTOTIC BIFURCATION FOR NON DIFFERENTIABLE POTENTIAL OPERATORS AND FOR SYSTEMS OF HAMMERSTEIN TYPE
I.F.M. [1976]

[ 74 ]

BEIRAO-DA-VEIGA.HUGO

DIFFERENTIABILITY FOR GREEN'S OPERATORS OF VARIATIONAL INEQUALITIES AND APPLICATIONS TO THE CALCULUS OF BIFURCATION POINTS
J. FUNCTIONAL ANALYSIS (TO APPEAR)

[ 75 ]

BEIRAO-DA-VEIGA.HUGO

ESISTENZA E CALCOLO DEL PRINCIPALE DI BIFORCAZIONE ASINTOTICA PER UNA COPPIA DI OPERATORI POTENZIALI NON DIFFERENZIABILI
ALL'INFINITO
PREPRINT

[ 76 ]

BENCI, VIERI; FCRTLNATC, DONATO; ZIRILLI, F.

EXPOSITIONAL DECAY AND REGULARITY PROPERTIES OF THE HARTREE APPROXIMATION TO THE BOUND STATE WAVE FUNCTIONS OF THE HELIUM ATOM
J.NATHEMATICAL PHYS. VOL. 17 [1976] PP1154-1155

[ 77 ]

BENCI, VIERI; FCRTLNATC, DONATO

DOES BIFURCATION FROM THE ESSENTIAL SPECTRUM OCCUR?
COMM. PARTIAL DIFFERENTIAL EQUATIONS VCL6 (3) PP249-272 [1981]

[ 78 ]

BENCI, VIERI; FCRTLNATC, DONATO

BIFURCATION FROM THE ESSENTIAL SPECTRUM FOR CDD VARIATIONAL OPERATORS
CONFER. SEM. NAT. LNIV. BARI VCL178 (1981) 26 P.

[ 79 ]

BENSCN, S.B.; GCLLUB, J.P.; SWINNEY, HARRY L.; FENSTERMACHER, P.R.

BIFURCATIONS TC PERIODIC, QUASIPERIODIC, AND CHAOTIC REGIMES IN ROTATING AND CONVECTING FLUIDS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN. OF. THE NEW YORK ACADEMY. VOL. 316 [1979] PP. 652-666

[ 80 ]

BERESTYCKI, HENRI
REMARQUES SLA LE NOMBRE DE SOLUTIONS DE CERTAINS PROBLEMES
ELLIPTIQUES SEMI-LINEAIRES
C.R.ACAD.SCI.FARIS SER.A VOL. 289 PP. 633-636 [1979]

[ 81 ]

BERESTYCKI, HENRI
LE NOMBRE DE SOLUTIONS DE CERTAINS PROBLEMES SEMI-LINEAIRES
ELLIPTIQUES
J. FUNCTIONAL ANALYSIS VOL. 40 PP. 1-29 [1981]

[ 82 ]

BERGER, MARION; BERGER, MELVYN S.
PERSPECTIVES IN NONLINEARITY. AN INTRODUCTION TO NONLINEAR
ANALYSIS
W.A.BENJAMIN INC., NEW YORK AMSTERDAM [1968] IV+189 PP. MR40#4971

[ 83 ]

BERGER, MELVYN S.; FIFE, PAUL C.
ON VON KARMAN'S EQUATIONS AND THE BUCKLING OF A THIN ELASTIC PLATE
BULL. AMER. MATH. SOC. VOL. 72 [1966] PP. 1004-1011 MR34#3072

[ 84 ]

BERGER, MELVYN S.
AN APPLICATION OF THE CALCULUS OF VARIATIONS IN THE LARGE TO THE
EQUATIONS OF NONLINEAR ELASTICITY
BULL. AMER. MATH. SOC. VOL. 73 [1967] PP. 520-525 MR35#3957

[ 85 ]

BERGER, MELVYN S.
ON NONLINEAR PERTURBATIONS OF THE EIGENVALUES OF A COMPACT
SELF-ADJOINT OPERATOR
BULL. AMER. MATH. SOC. VOL. 73 [1967] PP. 704-708 MR35#3494

[ 86 ]

BERGER, MELVYN S.
on vcn karman's equations and the buckling of a thin elastic
plate. I. the clamped plate
COMM. PURE APPL. MATH. VOL. 20 [1967] PP. 687-719 MR36#4860

[ 87 ]

BERGER, MELVYN S.; FIFE, PAUL C.
VON KARMAN'S EQUATIONS AND THE BUCKLING OF A THIN ELASTIC PLATE, II
PLATE WITH GENERAL EDGE CONDITIONS
COMM. PURE APPL. MATH. VOL. 21 [1968] PP. 227-241 MR37#5544

BERGER, MELVYN S.; BERGER, MARION
SEE ALSO [ 82]
PERSPECTIVES IN NONLINEARITY. AN INTRODUCTION TO NONLINEAR
ANALYSIS
W.A.BENJAMIN INC., NEW YORK AMSTERDAM [1968] IV+189 PP. MR40#4971
[ 88 ]

BERGER, MELVYN S.; SCHECHTER, MARTIN
LP EMBEDDING AND NONLINEAR EIGENVALUE PROBLEMS FOR UNBOUNDED
DOMAINS
BULL. AMER. MATH. SOC. VOL.76 [1970] PP.1299-1302 MR42#2294

[ 89 ]

BERGER, MELVYN S.
STATIONARY STATES FOR A NONLINEAR WAVE EQUATION
J. MATHEMATICAL PHYS. VOL. 11 [1970] PP.2906-2912 MR43#727

[ 90 ]

BERGER, MELVYN S.
MULTIPLE SOLUTIONS OF NONLINEAR OPERATOR EQUATIONS ARISING FROM
THE CALCULUS OF VARIATIONS
NONLINEAR FUNCTIONAL ANALYSIS (PROCEEDINGS OF THE INSTITUT
XVIII, PART I, CHICAGO, ILL.) 1968
PP.10-27 AMER. MATH. SOC., PROVIDENCE
R.I. [1970] MR42#5112

[ 91 ]

BERGER, MELVYN S.
ON THE EXISTENCE OF EQUILIBRIUM STATES OF THIN ELASTIC SHELLS. I.
INDIANA UNIVERSITY OF SCIENCE AND TECHNOLOGY FOR HUMAN DEVELOPMENT
VOL. 20 [1970/71] PP.591-602 MR43#1492

[ 92 ]

BERGER, MELVYN S.
ON EQUILIBRIUM STATES AND PERIODIC VIBRATIONS OF THIN NONLINEAR
ELASTIC SYSTEMS
INSTABILITY OF CONTINUOUS SYSTEMS (LTSAM SYMPOS. HENENALB. 1969)
PP.167-174 SPRINGER, BERLIN [1971] MR52#2353

[ 93 ]

BERGER, MELVYN S.
AUTONOMOUS PERIODIC SOLUTIONS OF SOME HAMILTONIAN SYSTEMS. ALL OF WHose
SOLUTIONS ARE PERIODIC
CRITICAL DIFFERENTIAL EQUATIONS (PROCEEDINGS OF THE INSTITUT
RES. LAB. WASHINGTON D.C. 1971) PP.351-357 ACADEMIC PRESS, NEW YORK
[1972] MR54#5541

[ 94 ]

BERGER, MELVYN S.
BIFURCATION THEORY AND THE TYPE NUMBERS OF MARSTON MORSE
PROCEEDINGS OF THE INSTITUT
VOL. 69 [1972] PP.1737-1738 MR45#7537

[ 95 ]

BERGER, MELVYN S.; WESTREICH, DAVID
A CONVERGENT ITERATION SCHEME FOR BIFURCATION THEORY IN BANACH
SPACES
J. MATH. ANAL. APPL. VOL. 43 [1973] PP.156-144 MR47#7530

[ 96 ]

BERGER, MELVYN S.
APPLICATIONS OF GLOBAL ANALYSIS TO SPECIFIC NONLINEAR EIGENVALUE
PROBLEMS
ROCKY MOUNTAIN J. MATH. VOL. 3 [1973] PP.319-354 (ROCKY MOUNTAIN
CONFERENCES ON NONLINEAR EIGENVALUES OF PROBLEMS (SANTA FE
N.M. 1971)) MR48#7033
[ 97 ]

BERGER, MELVYN S.
ON NONLINEAR SPECTRAL THEORY
THEORY OF NONLINEAR OPERATORS (PROG. SUMMER SCHOOL, BABYLON, CZECHOSLAVIA 1971) PP29-37 ACADEMIA PRAGUE [1973] MR52#6511

[ 98 ]

BERGER, MELVYN S.
NEW APPLICATIONS OF THE CALCULUS OF VARIATIONS IN THE LARGE TO NONLINEAR ELASTICITY
COMM. MATH. PHYS. VOL35 [1974] PP141-150 MR52#15550

[ 99 ]

BERGER, MELVYN S.; WESTREICH, DAVID
ERRATUM "A CONVERGENT ITERATION SCHEME FOR BIFURCATION THEORY..."
J. MATH. ANAL. APPL. VOL45 [1974] PP252 MR49#1246

[ 100 ]

BERGER, MELVYN S.
CRITICAL POINT THEORY FOR NONLINEAR EIGENVALUE PROBLEMS WITH INDEFINITE PRINCIPAL PART
TRANS. AMER. MATH. SOC. VOL186 [1974] PP151-169 MR49#5960

[ 101 ]

BERGER, MELVYN S.; PODCLAK, E.
ON THE SOLUTIONS OF A NONLINEAR DIRICHLET PROBLEM
INDIANA UNIV. MATH. J. VOL24 [1974/75] PP837-846 MR51#13447

[ 102 ]

BERGER, MELVYN S.; FLASTOCK, R.A.
ON THE SINGULARITIES OF NONLINEAR FREDHOLM OPERATORS
BULL. AMER. MATH. SOC. VOL83 [1977] NC & DP1316-1318 MR56#9566

[ 103 ]

BERGER, MELVYN S.
NONLINEARITY AND FUNCTIONAL ANALYSIS
LECTURES ON NONLINEAR PROBLEMS IN MATHEMATICAL ANALYSIS, PURE AND APPLIED MATHEMATICS ACADEMIC PRESS (HARDCOURT BRACE JOVANOVICH, FLBLSHERS) NEW YORK-LONDON [1977] XIX+417 PP MR58#7671
(SEE CHAPT. 4)

[ 104 ]

BERNFELD, S.M.; NEGRINI, PIERC; SALVADORE, L.
STABILITY AND GENERALIZED HOFF BIFURCATION THROUGH A REDUCTION PRINCIPLE
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE "NONLINEAR EQUATIONS: STABILITY, INVARIANCE AND BIFURCATION" TRENTO [1980]
ED. SALVADORE, L. DE NCTTONI, P. ACADEMIC PRESS

[ 105 ]

BEYN, WOLF-JÜRGEN; DOEDEL, EUSEBIUS
STABILITY AND MULTIPLICITY OF SOLUTIONS TO DISCRETIZATIONS OF NONLINEAR CRITICAL DIFFERENTIAL EQUATIONS
SIAM JSSC (TC APPEAR)
[ 106 ]

BISSET. EDWARD J.

BIFLRCATION IN A REACTION DIFFUSION SYSTEM

PH.D. THESIS CAL.TECH. PASADENA [1978] 97P.

[ 107 ]

BISSET. EDWARD J.

INTERACTION OF STEADY AND PERIODIC BIFLRCATING MODES WITH

INPERFECTION EFFECTS IN REACTION-DIFFUSION SYSTEMS

SIAM J. APPL. MATH. VOL40 NO 2 PP224-241 [1981]

[ 108 ]

BCA. JAMES A.

MULTIPLE STEADY STATES IN A MODEL BICHEMICAL REACTION

STLDIES IN APPL. MATH. VOL54 [1975] NO 1 PP9-15 MR56#11058

[ 109 ]

BCA. JAMES A.; COHEN, DONALD S.

BIFLRCATION OF LOCALIZED DISTURBANCES IN A MODEL BIOCHEMICAL REACTION

SIAM J. APPL. MATH. VOL30 NO1 [1976] PP123-135

[ 110 ]

BCLLEY, CATHERINE

ETLDE NUMERIGLE C'LN PROBLEME DE BIFLRCATION

THESE 3EME CYCLE RENNES [1977] 160PP

[ 111 ]

BCLLEY, CATHERINE

SOLLUTIONS NUMERIQUES DE PROBLEMES DE BIFLRCATION

RAIRO ANAL.NLVER. VOL14 NO 2 [1980] PP127-147

[ 112 ]

BCLLEY, CATHERINE

BIFLRCATION EN LNE VALEUR PROPRE D'ORDRE P

PREPRINT

[ 113 ]

BCNILLA, L.L.; VELARDE, N.G.

SINGULAR PERIODIC REGULATIONS APPROACH TO THE LIMIT CYCLE AND GLOBAL

PATTERNS IN A NONLINEAR DIFFUSION-REACTION PROBLEM WITH

AUTOCATALYSIS AND SATURATION LAW

J. MATHEMATICAL PHYS. (TO APPEAR)

[ 114 ]

BCTTKCL.MATTHEW

BIFLRCATION OF PERIODIC ORBITS ON MANIFOLDS AND HAMILTONIAN

SYSTEMS

BULL. AMER. MATH. SOC. VOL83 [1977] PF106C-1062

[ 115 ]

BCTTKCL.MATTHEW

BIFLRCATION OF PERIODIC ORBITS ON MANIFOLDS AND HAMILTONIAN
SYSTEMS

J. DIFFERENTIAL EQUATIONS VOL37 [1980] PF12-22
[ 116 ]

BLOCHERIF, ABDELKADER
NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEMS
J. MATH. ANAL. APPL. VCL77 PP577-600 [1980]

[ 117 ]

BRAUNER, CLAUDE-NICHEL; NICOLAENKO, BASIL
PERTURBATION SINGULIERE, SOLUTIONS MULTIPLES ET HYSTERESIS DANS UN
PROBLEME DE BICCHIMIE
C.R. ACAD.SCI.PARIS SER.A VOL283 PP775-778 [1976] MR55#2179

[ 118 ]

BRAUNER, CLAUDE-NICHEL; NICOLAENKO, BASIL
SINGULAR PERTURBATION, MULTIPLE SOLUTIONS AND HYSTERESIS IN A
NONLINEAR PROBLEM
LECTURE NOTES IN MATH. SINGULAR PERTURBATIONS AND BOUNDARY LAYER
THEORY (PRCC, CONF, ECOLE CENTRALE, LYON 1974) PP50-76 SPRINGER BERLIN
VCL594 [1977] MR57#10185

[ 119 ]

BRAUNER, CLAUDE-NICHEL; NICOLAENKO, BASIL
SUR LNE CLASSE DE PROBLEMES ELLIPTIQUES NON LINEAIRES
C.R. ACAD.SCI.PARIS SER.A VOL286 PP1007-1010 [1978]

[ 120 ]

BRAUNER, CLAUDE-NICHEL; NICOLAENKO, BASIL
SUR DES PROBLEMES ALA VALEURS PROPRES NON LINEAIRES QUI SE
PRCLNGENT EN PROBLEMES A FRONTIERE LIRE
C.R. ACAD.SCI.PARIS SER.A VOL287 PP1105-1108 [1978]

[ 121 ]

BREZIS, H.; TURNER, R. E. L.
ON A CLASS OF SUPERLINEAR ELLIPTIC PROBLEMS
COMM. PARTIAL DIFFERENTIAL EQUATIONS VCI2 NO6 PP601-604 [1977]

[ 122 ]

BROCKE, ROGER A.
ON THE CONSTRUCTION OF A DYNAMICAL SYSTEM FROM A PREASSIGNED
FAMILY OF SOLUTIONS
INTERNAT. J. ENGRG.SCI. VOL17 PP1151-1162 [1979]

[ 123 ]

BROCKE, ROGER A.
NOTES ON THE CENTRAL FORCE ON RN
ASTROPHYS. AND SPACE SCI. VOL72 L1980] PP33-53

[ 124 ]

BROCKE, PATRICK J.
A COMPLETENESS THEOREM FOR A NONLINEAR MULTIPARAMETER EIGENVALUE
PROBLEM
J. DIFFERENTIAL EQUATIONS VOL23 NO 2 [1977] PP285-292

[ 125 ]

BROCKE, PATRICK J.; SLEEMAN, B. D.
NONLINEAR MULTIPARAMETER STURM-Liouville PROBLEMS
[ 126 ]

BROWNE.PATRICK J.; SLEEMAN.B.D.
BIFURCATION FROM EIGENVALUES IN NON-LINEAR MULTIPARAMETER
STURN-LICUVILLE PROBLEMS
GLASGOW MATH.J. VOL21 [1980] PP85-90

[ 127 ]

BROWNE.PATRICK J.; SLEEMAN.B.D.
NON-LINEAR MULTIPARAMETER EIGENVALUE PROBLEMS FOR ORDINARY
DIFFERENTIAL EQUATIONS
J.MATH.ANAL.APPL. VOL77 PP425-432 [1980]

[ 128 ]

BRUNNER,T.C.; GCLLLE,B.J.P.; DANLY,B.G.
PERIODICITY AND CHAOS IN COUPLED NONLINEAR OSCILLATORS
SCIENCE VOL200 [1978] PP48-50

[ 129 ]

BLANCH,B.; KERNEVEZ,J.P.; JOLY,G.; DUBAN,M.C.; THOMAS,D.
MORPHOGENESE DANS UN SYSTEME DE DIFFLEXION-REACTION
J.PHYSIQUE CCLLCQUE CS SUPPL. NO 8 VOL 39 [1978] PP1-2

[ 130 ]

BLANCH,B.; KERNEVEZ,J.P.; JOLY,G.; DUBAN,M.C.; THOMAS,D.
HYSTERESIS,OSCILLATIONS,AND PATTERN FORMATION IN REALISTIC
IMMobilIZED ENZYME SYSTEMS
J.MATH.BICL. VOL7 PP41-56 [1979]

[ 131 ]

BLANCH,B.; KERNEVEZ,J.P.
NUMERICAL EXPLORATION OF BIFURCATING BRANCHES OF SOLUTIONS TO
REACTION-DIFFUSION EQUATIONS DESCRIBING THE KINETICS OF
IMMobilized enzymes
NUMERICAL METHODS FOR ENGINEERING VEYSSEYRE,H.(ED.) DUNOD PARIS
[1980]

[ 132 ]

CALLEGARI,ANDREW J.; REISS,E.L.; KELLER,H.B.
MEMBRANE BLOCKING:A STUDY OF SOLUTION MULTIPLICITY
COMM.PURE APPL.MATH. VOL24 [1971] PP499-527 MR44#7818

[ 133 ]

CALLEGARI,ANDREW J.; REISS,E.L.
NONLINEAR STABILITY PROBLEMS FOR THE SINE-GORDON EQUATION
J.MATHEMATICAL PHYS. VOL14 [1973] PP267-276 MR48#1611

CALLEGARI,ANDREW J.; REISS,E.L.; BALER,LCUIS
SEE ALSO [ 57 ]

ON THE COLLAPSE OF SHALLOW ELASTIC MEMBRANES

NONLINEAR ELASTICITY PP1-30 [1973] ACADEMIC PRESS INC. NEW YORK
LONDON
[134]

CANADA.A.; MARTINEZ-AMORES.P.
BIFURCATION IN THE MATHIEU EQUATION WITH THREE INDEPENDENT
PARAMETERS
QUART APPL.MATH. VOL37 NO 4 [1980] PP431-441

[135]

CAPRINC.SILVIA; NEGRINI.PIERC
ATTRACTIVITY PROPERTIES OF CLOSED ORBITS IN A CASE OF GENERALIZED
HOPF BIFURCATION
J.MATH.ANAL.APPL. VOL80 PP92-101 [1981]

CARBONE.ERNEST R.; ANTMAN.STUART S.
SEE ALSO [ 29]
SHEAR AND NECKING INSTABILITIES IN NONLINEAR ELASTICITY
J.ELASTICITY VOL7 NO2 [1977] PP125-151 MR56#10272

[136]

CARNCY.ERIC
ETLDE DE LA BIFURCATION D'UN CYLINDRE RAIDI AVEC TROUS
L.T.A.S. RAPPORT SF-39 UNIV. LIEGE [1976]

[137]

CARNCY.ERIC
POSTBUCKLING ANALYSIS OF ELASTIC STRUCTURES BY THE FINITE ELEMENT
METHOD
COMPLT.METHODS APPL.MECH.ENGRG. VOL23 [1980] PP143-174

[138]

CARNCY.ERIC
ETLDE DE LA STABILITE ELASTIQUE DES CCGLES PAR ELEMENTS FINIS
THESE UNIV. LIEGE MARS [1980] 541PP

[139]

CEBECI.TUNCER; KELLER.H.B.
ACCELER NUMERICAL METHODS FOR BOUNDARY-LAYER FLOWS.II,
TWC-DIMENSIONAL TURBULENT FLOWS
AIAA J. VOL10 [1972] PP1193-1199 MR46#10300

[140]

CHAFEE.NATHANIEL
THE BIFURCATION OF ONE OR MORE CLOSED ORBITS FROM AN EQUILIBRIUM
POINT OF AN ALTOOMOUS DIFFERENTIAL SYSTEM
J.DIFFERENTIAL EQUATIONS VOL4 NO4 [1968] PP661-679 MR37#5496

[141]

CHAFEE.NATHANIEL
A BIFURCATION PROBLEM FOR A FUNCTIONAL DIFFERENTIAL EQUATION OF
FINITELY RETARDED TYPE
J.MATH.ANAL.APPL. VOL35 NO2 [1971] PP312-348 MR43#3587.MR47#8969

[142]

CHAFEE.NATHANIEL; INFANTE,E.F.
BIFURCATION AND STABILITY FOR A NONLINEAR PARABOLIC PARTIAL
DIFFERENTIAL EQUATION
BULL.AMER.MATH.SCC. VOL80 NO1 [1974] PP49-52 MR48#6701

[ 143 ]

CHAFEE, NATHANIEL

ERRATUM CF A BIFURCATION PROBLEM...

J. MATH. ANAL. APPL. VOL47 [1974] PP671-672 MR49#10997

[ 144 ]

CHAFEE, NATHANIEL; INFANTE, E. F.

A BIFURCATION PROBLEM FOR A NONLINEAR PARTIAL DIFFERENTIAL

EQUATION OF PARABOLIC TYPE

APPLICABLE ANAL. VOL4 [1974/75] PP17-37 MR55#13084

[ 145 ]

CHAFEE, NATHANIEL

GENERALIZED HOFF BIFURCATION AND PERTURBATION IN A FULL

NEIGHBORHOOD OF A GIVEN VECTOR FIELD

INDIANA UNIV. MATH. J. VOL27 NO2 [1978] PP173-194

[ 146 ]

CHANG, KUNG-CHING

REMARKS ON FREE BOUNDARY PROBLEMS FOR THE FLUX EQUATIONS IN PLASMA

PHYSICS

COMM. PARTIAL DIFFERENTIAL EQUATIONS VOL5 (7) [1980] PP741-751

[ 147 ]

CHATLRVEDI, S.; GARDNER, C. W.; WALLS, D. F.

MASTER EQUATIONS. STOCHASTIC DIFFERENTIAL EQUATIONS, AND

BIFURCATIONS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP453-462

[ 148 ]

CHEN, T. S.; JOSEPH, DANIEL D.

SUBCRITICAL BIFURCATION OF PLANE POISEUILLE FLOW

J. FLUID MECH. VOL58 PART2 [1973] PP337-351

[ 149 ]

CHEN, T. S.; JOSEPH, DANIEL D.

FRICTION FACTORS IN THE THEORY OF BIFURCATING POISEUILLE FLOW

THROUGH ANNULLAR DUCTS

J. FLUID MECH. VOL66 [1974] NO1 PP189-207 MR54#4294

[ 150 ]

CHENCINER, ALAIN; ICOSS, GERARD

BIFURCATION D'UN TORE T2 EN UN TORE T3

C.R. ACAD. SCI. PARIS SER. A-B VOL284 [1977] PP1207-1210 MR55#11308

[ 151 ]

CHENCINER, ALAIN; ICOSS, GERARD

BIFURCATIONS DE TORES INVARIANTS

ARCH. RATIONAL MECH. ANAL. VOL69 NO2 [1979] PP109-198

[ 152 ]

CHENCINER, ALAIN; ICOSS, GERARD

PERSISTENCE ET BIFURCATIONS DE TORES INVARIANTS
ARCH.RATIONAL MECH.ANAL. VOL71 NO4 [1979] PP301-306

[ 153 ]

CHENCINER,ALAIN

COURBES INVARIANTES NON NORMALEMENT HYPERBOLIQUES AU VOISINAGE
D'UNE BIFURCATION DE HOPF DEGENEREE DE DIFFERMORPHISMES DE R2
PREPRINT

[ 154 ]

CHEC.L.S.; REISS.E.L.

UNSYMMETRIC WRINKLING OF CIRCULAR PLATES

GUART.APPL.MATH. VOL31 NO1 [1973] PP75-91

[ 155 ]

CHEC.L.S.; REISS.E.L.

SECONDARY BUCKLING OF CIRCULAR PLATES

SIAM J.APPL.MATH. VOL26 [1974] PP490-495

[ 156 ]

CHCSSAT,PASCAL

ETLDE,PAR LA THECRIE DES BIFURCATIONS,DE LA CONVECTION DANS UN
DOMAINE SPHERIGLE EN ROTATION

THESE 3EME CYCLE UNIVERSITE DE NICE [1977] 96PP

[ 157 ]

CHCSSAT,PASCAL

BIFURCATION AND STABILITY OF CONVECTIVE FLOWS IN A ROTATING OR NCT
ROTATING SPHERICAL SHELL

SIAM J.APPL.MATH. VOL37 NO 3 [1979] PP624-647

[ 158 ]

CHCW,SHUI-NEE; HALE,JACK K.; MALLET-PARET,JOHN

APPLICATIONS OF GENERIC BIFURCATION I

ARCH.RATIONAL MECH.ANAL. VOL59 NO2 [1975] PP159-188 MR52#11675

[ 159 ]

CHOW,SHUI-NEE; HALE,JACK K.; MALLET-PARET,JOHN

APPLICATIONS OF GENERIC BIFURCATION II

ARCH.RATIONAL MECH.ANAL. VOL62 NO3 [1976] PP209-235 MR54#3753

[ 160 ]

CHCW,SHUI-NEE; MALLET-PARET,JOHN

APPLICATIONS OF GENERIC BIFURCATION

LECTURE NCTES IN PURE AND APPL.MATH. NONLINEAR FUNCTIONAL ANALYSIS

AND DIFFERENTIAL EQUATIONS (PROC.CONF.,NICH.STATE UNIV.,EAST

LANSING,NICH.1975) PP199-207 VOL19 MARCEI DEKKER,NEW YORK [1976]

MR58#7693

[ 161 ]

CHCW,SHUI-NEE; MALLET-PARET,JOHN

INTEGRAL AVERAGING AND BIFURCATION

J.DIFFERENTIAL EQUATIONS VOL26 NO1 [1977] PP112-159

[ 162 ]

CHCW,SHUI-NEE; MALLET-PARET,JOHN

THE FULLER INDEX AND GLOBAL HOPF BIFURCATION

J.DIFFERENTIAL EQUATIONS VOL29 NO1 [1978] PP66-85
[ 163 ]
CHCW, SHUI-NEE; HALE, JACK K.; MALLET-PARET, JOHN
AN EXEMPLE OF BIFURCATION TO HOMOCLINIC ORBITS
J.DIFFERENTIAL EQUATIONS VOL37 [1980] pp51-373

[ 164 ]
CHCW, SHUI-NEE; MALLET-PARET, JOHN; YORKE, JAMES A.
GLOBAL HCPF BIFURCATION FROM A MULTIPLE EIGENVALUE
PREPRINT

[ 165 ]
CLAEYSSEN, JULLIC RLIZ
THE INTEGRAL-AVERAGING BIFURCATION METHOD AND THE GENERAL
ONE-DELAY ECLATION
J.MATH.ANAL.APFL. VOL78 PP429-439 [1980]

[ 166 ]
CLARK, DAVID
EIGENVALUE BIFURCATION FOR COO GRADIENT OPERATORS
ROCKY MOUNTAIN J.MATH. VOL5 NO 3 PP317-336 [1975]

[ 167 ]
CLARK, DAVID; LEUNG, ANTHONY
BIFURCATIONS AND LARGE-TIME ASYMPTOTIC BEHAVIOR FOR PREY-PREDATOR
REACTION-DIFFUSION WITH DIRICHLET BOUNDARY DATA
J.DIFFERENTIAL EQUATIONS VOL35 [1980] pp13-127

[ 168 ]
CLEMENT, PHILIPPE
EIGENVALUE PROBLEM FOR A CLASS OF CYCLICALLY MAXIMAL MONOTONE
OPERATORS
NONLINEAR ANALYSIS, THEORY METHODS AND APPLICATIONS VOL1 NO2
PP93-103 [1977]

[ 169 ]
CLEMENT, PHILIPPE
CONTINUOUS BRANCHES OF POSITIVE SOLUTIONS FOR A CLASS OF NONLINEAR
SECOND-ORDER DIFFERENTIAL EQUATIONS
MANUSCRIPTA MATH. VOL16 [1975] FASC.2 PP195-202 MR51#10772

[ 170 ]
CLEMENT, PHILIPPE
POSITIVE EIGENFUNCTIONS FOR A CLASS OF SECOND-ORDER ELLIPTIC
EQUATIONS WITH STRONG NONLINEARITY
COMM.PARTIAL DIFFERENTIAL EQUATIONS VOL2 (6) PP615-625 [1977]

[ 171 ]
CLEMENT, PHILIPPE; FELETIER, L.A.
ON POSITIVE, CONCAVE SOLUTIONS OF TWO POINT NONLINEAR EIGENVALUE
PROBLEMS
J.MATH.ANAL.APFL. VOL69 NO2 PP329-340 [1979]
[ 172 ]

CLERC, RENE-LCLIS; HARTMANN, CHRISTIAN
BIFURCATION MECHANISM OF A SECOND ORDER RECURRENCE LEADING TO THE APPEARANCE OF A PARTICULAR STRANGE ATTRACTOR
PROCEEDINGS VIII TH. INTERNAT. CONF. NONLINEAR OSCILLATIONS PRAGUE
[1978] PP199-204

[ 173 ]

CLERC, RENE-LCLIS; HARTMANN, CHRISTIAN
QUELQUES PROPRIETES DE CERTAINES SINGULARITES UNIDIMENSIONNELLES D'UNE RECLURRENCE AUTONOME DE SECONDE CRDRE
C.R.ACAD.SCI.PARIS SER.A-B. VOL289 [1979] PP31-34

[ 174 ]

CLERC, RENE-LCLIS; HARTMANN, CHRISTIAN
SUR LES BIFURCATIONS D'UNE COURBE INVARIANTE ISOLEE FERMEE D'UNE RECLURRENCE DE SECONDE ORDRE
C.R.ACAD.SCI.PARIS SER.A-B. VOL290 [1980] PP1005-1001

[ 175 ]

CCHEN, DONALD S.; SIMPSON, R. BRUCE
POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
J.NATH.MECH. VOL19 [1949/70] PP895-910 MR55#8525

[ 176 ]

CCHEN, DONALD S.
MULTIPLE SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
LECTURE NOTES IN MATH. VOL322 PP15-77 NONLINEAR PROBLEMS IN THE PHYSICAL SCIENCES AND BIOLOGY [1973] SPRINGER BERLIN

CCHEN, DONALD S.; BCA, JAMES A.
SEE ALSO L 109
BIFURCATION OF LOCALIZED DISTURBANCES IN A MODEL BIOCHEMICAL REACTION
SIAM J.APL.NATH. VOL30 NO1 [1976] PP123-135

[ 177 ]

CCHEN, DONALD S.; NEU, JOHN C.
INTERACTING OSCILLATORY CHEMICAL REACTORS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP332-337

[ 178 ]

CCHEN, DONALD S.; HAGAN, PATRICK S.; SIMPSON, HENRY C.
SPATIAL STRUCTURES IN PREDATOR-PREY COMMUNITIES WITH HEREDITY
EFFECTS AND DIFFUSION
MATH.BIOSCI. VOL44 PP167-177 [1979]

[ 179 ]

CCNRAD, MICHAEL
ECCSYSTEM STABILITY AND BIFURCATION IN THE LIGHT OF ADAPTABILITY
THEORY
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP465-481
[ 180 ]

CONTRCULOS.GECRGE; ZIKIDES.M.

PERIODIC CRBITS AND ERGODIC COMPONENTS OF A RESONANT DYNAMICAL
SYSTEM

ASTRON.ASTROPHYS. VOL9C PP198-203 [1980]

[ 181 ]

CONTRCULOS.GECRGE; MICHAELIDIS.P.

BIFLRCATION OF TRIPLE PERIODIC CRBITS

CELESTIAL MECH. VOL22 [1980] PP403-413

[ 182 ]

CCSNARD.MICHEL

ETLDE DU COMFORTEMENT D'ITERATIONS D'UN OPERATEUR DE
RECERMALISATION

RAPPORT DE RECHERCHE NO 245 [1981] 26PP LNIVERSITE SCIENTIFIQUE ET
MEDICALE DE GRENCBLE

[ 183 ]

CCSNARD.MICHEL; DEMONGEOT,J.

ON THE USE OF ITERATIVE TECHNIQUE IN THE STUDY OF GALTON-WATSON
PROCESSES

RAPPORT DE RECHERCHE NO 250 [1981] 19PP LNIVERSITE SCIENTIFIQUE ET
MEDICALE DE GRENCBLE

[ 184 ]

CCSNARD.MICHEL

ETLDE DES SOLLTIONS DE L'EGLATION FONCTIONNELLE DE FEIGENBAUM

RAPPORT DE RECHERCHE VOL265 [1981] 20PP LNIVERSITE SCIENTIFIQUE ET
MEDICALE DE GRENCBLE

CCSTE.JEAN; LANGFORD.W.F.; ARNEODC.A.; CCOLLET.PIERRE;
TRESSER.CHARLES

SEE ALSC [ 39 ]

A MECHANISM FOR A SOFT MODE INSTABILITY

PHYS.LETT.A. VOL78 NO 1 [1980] PP11-14

CCOLLET.PIERRE; LANGFORD.W.F.; ARNEODC.A.; TRESSER.CHARLES;
CCSTE.JEAN

SEE ALSO [ 39 ]

A MECHANISM FOR A SOFT MODE INSTABILITY

PHYS.LETT.A. VOL78 NO 1 [1980] PP11-14

[ 185 ]

CCWAN.J.D.; ERMENTROUT.G.B.

SECONDARY BIFLRCATION IN NEURONAL NETS

SIAM J.APL.MATH. VOL39 NO 2 [1980] PP323-340

[ 186 ]

CRANDALL.M.G.; RABINCWITZ.PAUL H.

NONLINEAR STLM-LICLVILLE EIGENVALUE PROBLEMS AND TOPOLOGICAL
DEGREE

J.MATH.MECH. VOL19 (1969/70) PP1083-1102 MR41#3874
[ 187 ]

CRANDALL, M. G.; RABINCHWITZ, PAUL H.
MULTIPLE SOLUTIONS OF A NONLINEAR INTEGRAL EQUATION
ARCH. RATIONAL MECH. ANAI. VOL. 37 [1970] pp. 262-267 MR41#765

[ 188 ]

CRANDALL, M. G.; RABINCHWITZ, PAUL H.
BIFURCATION FROM SIMPLE EIGENVALUES
J. FUNCTIONAL ANALYSIS VOL. 8 [1971] pp. 321-340 MR44#5836

[ 189 ]

CRANDALL, M. G.; RABINCHWITZ, PAUL H.
BIFURCATION, PERTURBATION OF SIMPLE EIGENVALUES AND LINEARIZED
STABILITY
ARCH. RATIONAL MECH. ANAL. VOL. 52 [1973] pp. 161-180 MR49#5962

[ 190 ]

CRANDALL, M. G.; RABINCHWITZ, PAUL H.
SOME CONTINUATION AND VARIATIONAL METHODS FOR POSITIVE SOLUTIONS
OF NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
ARCH. RATIONAL MECH. ANAL. VOL. 58 [1975] NO. 3 pp. 207-218 MR52#3730

[ 191 ]

CRANDALL, M. G.; RABINCHWITZ, PAUL H.
THE HOPF BIFURCATION THEOREM IN INFINITE DIMENSIONS
ARCH. RATIONAL MECH. ANAL. VOL. 67 [1977] NO. 1 pp. 53-72 MR57#7695

[ 192 ]

CRANDALL, M. G.; RABINCHWITZ, PAUL H.; TARTAR, LUC
ON A DIRICHLET PROBLEM WITH A SINGULAR NONLINEARITY
COMM. PARTIAL DIFFERENTIAL EQUATIONS VOL. 2 NO. 2 [1977] pp. 193-222
MR55#856

[ 193 ]

CRANDALL, M. G.; RABINCHWITZ, PAUL H.
THE PRINCIPLE OF EXCHANGE OF STABILITY
DYNAMICAL SYSTEMS (PROC. INTERNATIONAL SYMPOSIA, UNIV.
FLORIDA, GAINESVILLE, FLORIDA, 1976) pp. 27-41 ACADEMIC
PRESS, NEW YORK, [1977] MR58#2884

[ 194 ]

CRONIN, JANE
THE EXISTENCE OF MULTIPLE SOLUTIONS OF ELLIPTIC DIFFERENTIAL
EQUATIONS
TRANS. AMER. MATH. SOC. VOL. 68 [1950] pp. 105-131 MR11-361

[ 195 ]

CRONIN, JANE
BRANCH POINTS OF SOLUTIONS OF EQUATIONS IN BANACH SPACE
TRANS. AMER. MATH. SOC. VOL. 69 [1950] MR12-716

[ 196 ]

CRONIN, JANE
BRANCH POINTS OF SOLUTIONS OF EQUATIONS IN BANACH SPACE II
TRANS. AMER. MATH. SOC. VOL. 76 [1954] MR16-47

[ 197 ]

CRONIN, JANE
NOTE TO POINTS OF PERTURBATION METHOD
DUKE MATH.J. VCL26 [1959] PP251-262 MR21#2787

[ 1981 ]

CRONIN, JANE

THE NUMBER OF PERIODIC SOLUTIONS OF NON-AUTONOMOUS SYSTEMS

DUKE MATH.J. VCL27 [1960] PP183-193 MR24#A872

[ 1991 ]

CRONIN, JANE

AN UPPER BOUND FOR THE NUMBER OF PERIODIC SOLUTIONS OF A PERTURBED
SYSTEM

J.MATH.ANAL.APPL. VCL1 [1960] PP334-341 MR24#A2710

[ 2001 ]

CRONIN, JANE

ALMCST PERIODIC SOLUTIONS AND CRITICAL RCOTS

DUKE MATH.J. VCL79 [1962] PF663-669 MR25#S235

[ 2011 ]

CRONIN, JANE

FIXED POINTS AND TOPCLOGICAL DEGREE IN NCNLINEAR

ANALYSIS, MATHEMATICAL SURVEYS, NO. 11

AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, R. I. [1964] XII+198 pp.
MR29#1400

[ 2021 ]

CRONIN, JANE

USING LERAY-SCHALDER DEGREE

J.MATH.ANAL.APPL. VCL25 [1969] PP414-424; ERRATUM, IBID. VOL29

[1970] PP233 MR40#3389

[ 2031 ]

CRONIN, JANE

FUNCTIONAL EQUATIONS WITH SEVERAL SOLUTIONS

J.MATH.ANAL.APPL. VCL28 [1969] PP159-173 MR40#3390

[ 2041 ]

CRONIN, JANE

UPPER AND LOWER BOUNDS FOR THE NUMBER OF SOLUTIONS OF NONLINEAR
EQUATIONS

NONLINEAR FUNCTIONAL ANALYSIS (PROCEEDINGS, PURE

MATH., VCL8, PART 1, CHICAGO, ILL. 1968) PP50-61

AMER.MATH.SOC., PROVIDENCE, R.I. [1970] MR47#5374

[ 2051 ]

CRONIN, JANE

TOPCLOGICAL DEGREE AND THE NUMBER OF SOLUTIONS OF EQUATIONS

DUKE MATH.J. VCL38 [1971] PP531-538 MR46#742

[ 2061 ]

CRONIN, JANE

ONE-SIDED BIFURCATION POINTS

J.DIFFERENTIAL EQUATIONS VOL9 [1971] PPL-12 MR43#3555

[ 2071 ]

CRONIN, JANE

EIGENVALLES OF SOME NONLINEAR OPERATORS

J.MATH.ANAL.APPL. VCL38 [1972] PP659-667 MR47#2445
[ 208 ]

CRONIN, JANE LCRONIN-SCANLCN, JANE]

A GENERAL BIFURCATION THEORY

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP28-38

[ 209 ]

CLCOLO.A.M.; FACE.S.; ZIRILLI,F.

BIFURCATION THEORY AND ORDER OF PHASE TRANSITION FOR PROXIMITY EFFECT SANDWICHES

J.LCW.TEMPERATURE PHYSICS VOL32 [1978]

[ 210 ]

CLCCLC.A.M.; FACE.S.

THERMODYNAMICS OF SECOND ORDER PHASE TRANSITIONS IN A MOLECULAR FIELD THEORY FOR INHOMOGENEOUS SYSTEMS, PROXIMITY SANDWICHES

SUPPL. J. PHYS. VOL484 NO8 C-6 [1978]

[ 211 ]

CLCOLO.A.M.; FACE.S.; DE FILIPPO.S.

SOME REMARKS ON THE PHASE DIAGRAM OF

MAGNETIC-SUPERCONDUCTING-MAGNETIC PROXIMITY SANDWICHES

PREPRINT

[ 212 ]

CLRRY, JAMES H.

A GENERALIZED LORENZ SYSTEM

COMM. MATH. PHYS. VOL60 [1978] PP193-204

[ 213 ]

CLRRY, JAMES H.

CHACTERISTIC RESPONSE TO PERIODIC MODULATION OF MODEL OF A CONVECTING FLUID

PHYS. REV. LETTERS VOL43 NO 14 [1979] PP1013-1016

[ 214 ]

CLSHING, J.M.

SOME EXISTENCE THEOREMS FOR NONLINEAR EIGENVALUE PROBLEMS

ASSOCIATED WITH ELLIPTIC EQUATIONS

ARCH. RATIONAL MECHANICAL ANALYSIS VOL42 NO1 [1971] PP63-76 MR50#757

[ 215 ]

CLSHING, J.M.

GLOBAL BRANCHS OF SOLUTIONS TO NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS

INDIANA UNIVERSITY MATH. J. VOL20 NO11 [1971] PP1035-1045 MR44#596

[ 216 ]

CLSHING, J.M.

NONLINEAR STEKLOV PROBLEMS ON THE UNIT CIRCLE I

J. MATH. ANAL. APPL. VOL38 [1972] PP766-783 MR46#4017

[ 217 ]

CLSHING, J.M.

NONLINEAR STEKLOV PROBLEMS ON THE UNIT CIRCLE II (AND A HYDRODYNAMICAL APPLICATION)

J. MATH. ANAL. APPL. VOL39 [1972] PP467-278 MR47#7215
[218]

CLSHING.J.M.
NONLINEAR STEKLOV PROBLEMS ON NONSYMMETRIC DOMAINS
J.MATH.ANAL.APPL. VCL43 [1973] PP743-753 MR48#6682

[219]

CLSHING.J.M.
PERIODIC SOLUTIONS OF TWO SPECIES INTERACTION MODELS WITH LAGS
MATH.BIOSCI. VCL31 [1976] PP143-156

[220]

CLSHING.J.M.
STABLE LIMIT CYCLES OF TIME-DEPENDENT MULTISPECIES INTERACTIONS
MATH.BIOSCI. VCL31 [1976] PP259-273

[221]

CLSHING.J.M.
PERIODIC SOLUTIONS OF VOLTERRA'S POPULATION EQUATION WITH
HEREDITARY EFFECTS
SIAM J.APPL.MATH. VCL31 NO2 [1976] PP251-261 MR53#14053

[222]

CLSHING.J.M.
ERRATA: PERIODIC SOLUTIONS...
SIAM J.APPL.MATH. VCL32 NO4 [1977] PP895 MR55#3698

[223]

CLSHING.J.M.
BIFURCATION OF PERIODIC SOLUTIONS OF INTEGRODIFFERENTIAL SYSTEMS
WITH APPLICATIONS TO TIME DELAY MODELS IN POPULATION DYNAMICS
SIAM J.APPL.MATH. VCL33 NO4 [1977] PP640-654

[224]

CLSHING.J.M.
PERIODIC TIME-DEPENDENT PREDATOR-PREY SYSTEMS
SIAM.J.APPL.MATH. VCL37 [1977] NO1 PP87-95 MR55#7466

[225]

DANCER.E.N.
ON NON-RADially SYMMETRIC BIFURCATION
J.LONDON MATH.SOC. (2) VOL20 [1979] PP287-292

[226]

DANCER.E.N.
AN IMPLICIT FUNCTION THEOREM WITH SYMMETRIES AND ITS APPLICATION
TO NONLINEAR EIGENVALUE EQUATIONS
BULL.AUSTRAL.MATH.SOC. VCL21 [1980] PP81-91

[227]

DANCER.E.N.
ON THE STRUCTURE OF SOLUTIONS OF AN EQUATION IN CATALYSIS THEORY
WHEN A PARAMETER IS LARGE
J.CIFFERENTIAL EQUATIONS VCL37 PP404-437 [1980]

[228]

DANCER.E.N.
ON THE EXISTENCE OF BIFURCATING SOLUTIONS IN THE PRESENCE OF
SYMMETRIES
PROF. ROY. SCH. EDINBURGH SECT. A. VOL. 85 PP. 321-336 [1980]

CANLY, B. G.; GCLLUB, J. P.; BRUNNER, T. C.

SEE ALSO [198]

PERIODICITY AND CHAOS IN COUPLED NONLINEAR OSCILLATORS

SCIENCE VOL. 200 [1978] PP. 48-50

DE FILIPPO, S.; CUOCLO, A. M.; FACE, S.

SEE ALSO [211]

SOME REMARKS ON THE PHASE DIAGRAM OF

MAGNETIC-SUPERCONDUCTING-MAGNETIC PROXIMITY SANDWICHES

PREPRINT

[229]

DE CLIVEIRA, JOSE CARLOS F.; HALE, JACK K.

HOPF BIFURCATION FOR FUNCTIONAL EQUATIONS

J. MATH. ANAL. APPL. VOL. 74 [1980] PP. 41-59

[230]

DE CLIVEIRA, JOSE CARLOS F.; HALE, JACK K.

DYNAMIC BEHAVIOR FROM BIFURCATION EQUATIONS

TOPICS IN MATH. (TC APPEAR)

[231]

DECKER, DWIGHT W.

TOPICS IN BIFURCATION THEORY

PH.D. THESIS, CALIFORNIA INSTITUTE OF TECHNOLOGY PASADENA [1978]

[232]

DECKER, DWIGHT W.; KELLER, H. B.

MULTIPLE LIMIT POINT BIFURCATION

J. MATH. ANAL. APPL. VOL. 75 PP. 417-438 [1980]

[233]

DECKER, DWIGHT W.; KELLER, H. B.

SOLUTION BRANCHING-A CONSTRUCTIVE TECHNIQUE

PREPRINT

[234]

DECKER, PETER

SPATIAL, CHIRAL, AND TEMPORAL SELF-ORGANIZATION THROUGH BIFURCATION

IN "BICIDS" OPEN SYSTEMS CAPABLE OF A GENERALIZED DARWINIAN

EVOLUTION

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL. 316 [1979] PP. 236-250

[235]

DEGN, HANS; CLSEN, LARS F.; PERRAM, JOHN W.

BISTABILITY, OSCILLATION, AND CHAOS IN AN ENZYME REACTION

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL. 316 [1979] PP. 623-637
DEMONGECT.J.; COSNARD, MICHEL

SEE ALSO [183]

ON THE USE OF ITERATIVE TECHNIQUE IN THE STUDY OF GALTON-WATSON PROCESSES

RAPPORT DE RECHERCHE NO 250 [1981] 19PF UNIVERSITE SCIENTIFIQUE ET MEDICALE DE GRENCBLE

[236]

CERRICK.W.R.; KLIPER,H.J.

NONLINEAR ORDINARY AND FUNCTIONAL STurm-LIOUVILLE PROBLEMS

INDIANA UNIV.MATH.J. VOL25[1976] NC2 PD179-190 MR52#15150

[237]

DESCLCLX.J.; RAPFAZ.JACQUES

ON NUMERICAL APPROXIMATION OF SOLUTION BRANCHES OF NONLINEAR EQUATIONS

PREPRINT

[238]

DEVANEY, ROBERT L.

HONCCLINIC CRBITS TO HYPERBOLIC EQUILIBRIA

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP108-120

[239]

DI CARLO, ANTONIO; RIZZI, NICOLA; PIGNATARC, MARCELLO

SYMMETRIC BIFURCATION OF PLANE FRAMES THROUGH A MODIFIED POTENTIAL ENERGY APPROACH

J.STRUCT.MECH. VOL8 (3) PP237-255 [1980]

[240]

DI CARLO, ANICNIC; RIZZI, NICOLA; PIGNATARC, MARCELLO

A PARAMETRIC FCSTBLCKLTNG ANALYSIS OF AN ASYMMETRIC TWO-BAR FRAME

J.STRUCT.MECH. VOL8 (4) PP435-448 [1980]

DIAS, JCAC-PALLC; BEIRAC-DA-VEIGA, HUGO

SEE ALSO [68]

SUR LA SURJECTIVITE DE CERTAINS OPERATEURS NON LINEAIRES LIES ALEX

INEQUATIONS VARIATIONNELLES

BOLL.UN.MAT.ITAL. VOL10 (4) [1974] PP52-59 MR52#1433

[241]

DIAS, JCAC-PALLC

VARIATIONAL INEQUALITIES AND EIGENVALUES PROBLEMS FOR NONLINEAR MAXIMAL MONOTONE OPERATORS IN A HILBERT SPACE

ANER.J.MATH. VOL97 NC4 [1975] PP905-914 MR54#8368

[242]

DIAS, JCAC-PALLC; HERNANDEZ, JESUS

A REMARK ON A PAPER BY J.F.TCLAND AND SOME APPLICATIONS TO UNILATERAL PROBLEMS

PRCC.RCY.SCC.ECINBURGH SECT.A VOL75 AC16 [1975/76] MR56#1151
[ <43]

CIAS, JCAO-PALLC; HERNANDEZ, JESUS
BIFURCATION A L'INFINI ET ALTERNATIVE DE FREDHOLM POUR CERTAINS
PROBLEMES UNILATERALIX
J.MATH.PLRES APPL. VOL55 [1976] PP189-206

[ 244 ]

DCEDEL, EUSEBILS
THE NUMERICAL COMPUTATION OF BRANCHES OF PERIODIC SOLUTIONS
SIAM NATIONAL MEETING [1980]

[ 245 ]

DCEDEL, EUSEBILS
ALTO: A PROGRAM FOR THE AUTOMATIC BIFURCATION ANALYSIS OF
AUTONOMOUS SYSTEMS
CONGRESSUS ALMERANTILM VOL30 [1981] PP265-284

DCEDEL, EUSEBILS; BEYN, WOLF-JURGEN
SEE ALSO [ 105 ]
STABILITY AND MULTIPLICITY OF SOLUTIONS TO DISCRETIZATIONS OF
NONLINEAR CRITICAL DIFFERENTIAL EQUATIONS
SIAM JSSC (TC APPEAR)

DLBAN, N.C.; KERNEVEZ, J.P.; JOLY, G.; BUNCH, B.; THOMAS, D.
SEE ALSO [ 129 ]
MORPHOGENESE DANS UN SYSTEME DE DIFFUSION-REACTION
J.PHYSIQUE CCLLCQUE C5 SUPPL. NO 8 VOL 39 [1978] PP1-2

DLBAN, N.C.; KERNEVEZ, J.P.; JOLY, G.; BUNCH, B.; THOMAS, D.
SEE ALSO [ 130 ]
HYSTERESIS, SCILLATIONS, AND PATTERN FORMATION IN REALISTIC
IMMOBILIZED ENZYME SYSTEMS
J.MATH.BICL. VOL7 PP41-56 [1979]

DLBEY, R. N.; ARIARATNAN, S. T.
SEE ALSO [ 36 ]
SCHEMES OF BIFURCATION IN ELASTIC-PLASTIC SOLIDS IN PLANE
STRAIN
QUART APPL MATH. VOL27 [1969] NO 3 PP349-358

DLBEY, R. N.; ARIARATNAN, S. T.
SEE ALSO [ 37 ]
BIFURCATION IN ELASTIC-PLASTIC SOLIDS IN PLANE STRESS
QUART APPL MATH. VOL27 [1969] NO 3 PP381-390

DLNN, J.ERNEST; ANTMAN, STUART S.
SEE ALSO [ 35 ]
QUALITATIVE BEHAVIOR OF BUCKLED NONLINEARLY ELASTIC ARCHES
TO APPEAR IN JELAST.

ERMENTROU, G.B.; CCWAN, J.D.
SEE ALSO [ 185 ]
SECONDARY BIFURCATION IN NEURONAL NETS
SIAM J APPL MATH. VOL39 NO 2 [1980] PP323-340
[ 246 ]

ERNESTO. T.; MERSCHKOWITZ-KALFMAN, M.
THE BIFURCATION DIAGRAM OF A MODEL CHEMICAL REACTIONS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 (1979) PP296-313

[ 247 ]

FABRY, CHRISTIAN
WEAKLY NONLINEAR EIGENVALUE PROBLEMS
SEMINAIRES DE MATH. APPL. ET MECA. RAPPORT N056 UNIVERSITE DE LOLVAIN (1972) MR52#15145

[ 248 ]

FABRY, CHRISTIAN
WEAKLY NONLINEAR EIGENVALUE PROBLEMS
BOLL.UN.MAT.ITAL. (4) VOL8 (1973) PP208-216 MR49#1248

[ 249 ]

FADELL, EDWARD R.; RABINOWITZ, PAUL H.
BIFURCATION FOR CDD POTENTIAL OPERATORS AND AN ALTERNATIVE TO FCLOGICAL INDEX
J. FUNCTIONAL ANALYSIS VOL26 (1977) PP48-67 MR56#6716

[ 250 ]

FADELL, EDWARD R.; RABINOWITZ, PAUL H.
GENERALIZED COHOMOLOGICAL INDEX THEORIES FOR LIE GROUP ACTIONS WITH AN APPLICATION TO BIFURCATION QUESTIONS FOR HAMILTONIAN SYSTEMS
INVENT. MATH. VOL45 (1978) NC 2 PP139-174 MR57#17677

[ 251 ]

FAIREN, V.; VELARDE, M.G.
TIME-PERIODIC OSCILLATIONS IN A MODEL FOR THE RESPIRATORY PROCESS OF A BACTERIAL CELLTYPE
J. MATH. BIOL. (TC APPEAR)

[ 252 ]

FAIREN, V.; VELARDE, M.G.
DISSIPATIVE STRUCTURES IN A NONLINEAR REACTION-DIFFUSION MODEL WITH INHIBITION FORWARD: GLOBAL NONLINEAR STEADY PATTERNS, SPATIAL TEMPORAL STRUCTURES AND WAVE-LIKE PHENOMENA
PROG. THERET. PHYS. (SUBMITTED)

[ 253 ]

FEIGENBALM, MITCHELL J.
THE ONSET SPECTRUM OF TURBULENCE
PHYS. LETT. A. VOL74 NC 6 PP375-378 (1979)

[ 254 ]

FENICHEL, NEIL
THE CRBIT STRUCTURE OF THE HCPF BIFURCATION PROBLEM
J. DIFFERENTIAL EQUATIONS VOL17 NO2 (1975) PP308-328 MR53#14543
FENSTERMACHER, P.R.; GOLLUB, J.P.; SWINNEY, HARRY L.; BENSON, S.B.

SEE ALSO [79]

BIFURCATIONS TO PERIODIC-QUASIPERIODIC AND CHAOTIC REGIMES IN

ROTATING AND CONVECTING FLUIDS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP652-666

[255]

FENSTERMACHER, P.R.; GOLLUB, J.P.; SWINNEY, HARRY L.

DYNAMICAL INSTABILITIES AND THE TRANSITION TO CHAOTIC TAYLOR

VORTEX FLOW

PREPRINT

FIFE, PAUL C.; BERGER, NELVYN S.

SEE ALSO [83]

ON VON KARMAN'S EQUATIONS AND THE BUCKLING OF A THIN ELASTIC PLATE

BULL. AMER. MATH. SOC. VOL72 [1966] PP100-1011 MR34#3072

FIFE, PAUL C.; BERGER, NELVYN S.

SEE ALSO [871]

VON KARMAN'S EQUATIONS AND THE BUCKLING OF A THIN ELASTIC PLATE, II

PLATE WITH GENERAL EDGE CONDITIONS

COMM. PURE APPL. MATH. VOL21 [1968] PP227-241 MR37#5544

[256]

FIFE, PAUL C.; JOSEPH, DANIEL D.

EXISTENCE OF CONVECTIVE SOLUTIONS OF THE GENERALIZED BENARD

PROBLEM WHICH ARE ANALYTIC IN THEIR NORM

ARCH. RATIONAL MECH. ANAL. VOL33 NO2 [1949] PP116-138 MR39#1168

[257]

FIFE, PAUL C.

THE BENARD PROBLEM FOR GENERAL FLUID DYNAMICAL EQUATIONS AND

REMARKS ON THE BOUSSINESQ APPROXIMATION

INDIANA UNIV. MATH. J. VOL20 [1970/71] PP303-326 MR42#4072

[258]

FIFE, PAUL C.

BRANCHING PHENOMENA IN FLUID DYNAMICS AND CHEMICAL

REACTION-DIFFUSION THEORY

EIGENVALLES OF NON-LINEAR PROBLEMS C.I.M.E. IIICICLO VARENNA

[1974] PP23-83

[259]

FIFE, PAUL C.

STATIONARY PATTERNS FOR REACTION-DIFFUSION EQUATIONS

NONLINEAR DIFFUSION RESEARCH NOTES IN MATH VOL14 PITMAN LONDON

[1977] PP81-121

[260]

FIFE, PAUL C.

THE BISTABLE NONLINEAR DIFFUSION EQUATION: BASIC THEORY AND SOME

APPLICATIONS

PREPRINT

[261]

FINN, JOHN M.; CTT, EDWARD; WERSINGER, JEAN-MARIE

BIFURCATIONS AND "STRANGE" BEHAVIOR IN A COUPLED THREE WAVE SYSTEM
INTRINSIC STOCHASTICITY IN PLASMAS ED. BY G. LAVAL AND D. GRESILLON
LES EDITIONS DE PHYSIQUE ORSAY [1979] PP403-413

[ 262 ]

FINN, JOHN M.; CTT, EDWARD; WERSINGER, JEAN-MARIE
BIFURCATION AND "STRANGE" BEHAVIOR IN INSTABILITY SATURATION BY
NONLINEAR THREE WAVE MODE COUPLING
PHYS. FLUIDS VOL 23 NO 6 [1980] PP1142-1154

[ 263 ]

FINN, JOHN M.; CTT, EDWARD; WERSINGER, JEAN-MARIE
BIFURCATIONS AND STRANGE BEHAVIOR IN INSTABILITY SATURATION BY
NONLINEAR MODE COUPLING
PHYS. REV. LETT. VOL 44 NO 7 PP453-456 [1980]

[ 264 ]

FISCHER, ARTHUR E.; MARSDEN, JERROLD E.
SYMMETRY BREAKING IN GENERAL RELATIVITY
PREPRINT [1978]

[ 265 ]

FITZPATRICK, P.M.
A GENERALIZED DEGREE FOR UNIFORM LIMITS OF A-PROPER MAPPINGS
J. MATH. ANAL. APPL. VOL 35 [1971] PP536-552 MR43#6788

[ 266 ]

FITZPATRICK, F.M.; PETRYSHYN, W.V.
FIXED-POINT THEOREMS FOR MULTIVALUED NONCOMPACT INWARD MAPS
J. MATH. ANAL. APPL. VOL 46 NO 3 [1974] PP756-767

[ 267 ]

FITZPATRICK, F.M.
ON THE STRUCTURE OF THE SET OF SOLUTIONS OF EQUATIONS INVOLVING
A-PROCED MAPPINGS
TRANS. AMER. MATH. SOC. VOL 189 [1974] PF107-131 MR49#1249

[ 268 ]

FITZPATRICK, F.M.; PETRYSHYN, W.V.
A DEGREE THEORY, FIXED POINTS THEOREMS, AND MAPPING THEOREMS FOR
MULTIVALENC NONCOMPACT MAPPINGS
TRANS. AMER. MATH. SOC. VOL 194 [1974] PP1-25

[ 269 ]

FITZPATRICK, F.M.; PETRYSHYN, W.V.
POSITIVE EIGENVALUES FOR NONLINEAR MULTIVALUED NONCOMPACT
OPERATORS WITH APPLICATIONS TO DIFFERENTIAL OPERATORS
J. DIFFERENTIAL EQUATIONS VOL 22 NO 2 [1976] PP428-441 MR55#8909

[ 270 ]

FITZPATRICK, F.M.; PETRYSHYN, W.V.
ON THE NONLINEAR EIGENVALUE PROBLEM T(L)=LAMBDA.C(U), INVOLVING
NONCOMPACT ABSTRACT AND DIFFERENTIAL OPERATORS
PREPRINT

FITZPATRICK, F.M.; ALEXANDER, J.C.

SEE ALSO § 51

BIFURCATION OF THE FIXED POINTS OF PARAMETRIZED CONDENSING
FUNCTIONS
PREPRINT

[ 271 ]

FITZPATRICK.F.M.

ON NONLINEAR PERTURBATIONS OF LINEAR SECOND ORDER ELLIPTIC

BOUNDARY VALUE PROBLEMS

PREPRINT

[ 272 ]

FLAHERTY, J. E.; HOFFENSTEADT, FRANK C.

FREQUENCY ENTRAINMENT OF A FORCED VAN DER POL OSCILLATOR

STUDIES IN APPL. MATH. VOL. 58 [1978] PP. 15-25

[ 273 ]

FLAHERTY, J. E.; HOFFENSTEADT, FRANK C.

NONLINOUE STABLE RESPONSES OF EXTERNALLY FORCED OSCILLATORY

SYSTEMS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACADEMY OF SCIENCE, VOL. 316 [1979] PP. 511-516

FORTNATURAL AND GENERAL SCIENCE, VOL. 1, NO. 2, P. 1-13

SEE ALSO [ 76 ]

EXPERTS IN THE THEORY OF PERIODIC SOLUTIONS OF THE HARTREE

EQUATIONS TO THE-bound state wave functions of the HELIUM ATOM

J. MATHEMATICAL PHYS. VOL. 17 [1976] PP. 155-175

FORTNATURAL AND GENERAL SCIENCE, VOL. 1, NO. 2, P. 1-13

SEE ALSO [ 77 ]

COMMUNICATIONS IN THE ESSENTIAL SPECTRUM OCCUR?

COMM. PARTIAL DIFFERENTIAL EQUATIONS, VOL. 6 (3) PP. 249-272 [1981]

FORTNATURAL AND GENERAL SCIENCE, VOL. 1, NO. 2, P. 1-13

SEE ALSO [ 78 ]

COMMUNICATIONS IN THE ESSENTIAL SPECTRUM FOR COD VARIATIONAL

OPERATORS

CONFERENCE SEMINAR, UNIVERSITY OF CALIFORNIA, VOL. 178 [1981] 26 P.

[ 274 ]

FRANCESCHINI, VALTER; TEBALDI, CLAUDIO

SEGRETS OF INFINITE BIFURCATIONS AND TURBULENCE IN A FIVE-MODE

TRIANGULATION OF THE NAVIER-STOKES EQUATIONS

J. STATIST. PHYS. VOL. 21 NO. 6 [1979] PP. 707-726

[ 275 ]

FRANCESCHINI, VALTER

A FEIGENBALM SEQUENCE OF BIFURCATIONS IN THE LORENZ MODEL

J. STATIST. PHYS. VOL. 22 NO. 3 [1980] PP. 397-406

[ 276 ]

FRANCESCHINI, VALTER

TYPICAL BEHAVIORS IN DISSIPATIVE DIFFERENTIAL EQUATIONS

PREPRINT [1981]

[ 277 ]

FRANCESCHINI, VALTER; TEBALDI, CLAUDIO

A SEVEN-MODE TRIANGULATION OF THE PLANE INCOMPRESSIBLE NAVIER-STOKES

EQUATIONS
PREPRINT

FRANCESCHINI, VALTER; BAIVE, DANIELA

SEE ALSO [ 501 ]

SYNOMETRY BREAKING ON A MODEL OF FIVE-MODE TRUNCATED NAVIER-STOKES

ECLATIONS

PREPRINT

[ 278 ]

FREEDMAN, H. 1.

THE NONBIFURCATION OF PERIODIC SOLUTIONS WHEN THE VARIATIONAL

MATRIX HAS A ZERD EIGENVALUE

J. MATH. ANAL. APPL. VOL. 51 [1975] PP. 429-433

[ 279 ]

FLJII, HIROSHI; YANAGUTI, MASAYA

STRUCTURES OF SINGULARITIES AND ITS NUMERICAL REALIZATION IN
NONLINEAR ELASTICITY

RESEARCH REPORT KSL/ICS 78-06 INST. OF COMP. SCI. KYOTO SANGYO

UNIV. [1978] 116PP

GARDINER, C. W.; CHATLRVEDI, S.; WALLS, D. F.

SEE ALSO [ 1471 ]

MASTER EQUATIONS, STOCHASTIC DIFFERENTIAL EQUATIONS AND
BIFURCATIONS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL. 316 [1979] PP. 453-462

[ 280 ]

GARRIGAN, P. L.; SCHMITZ, R. A.; RENCLA, G. T.

OBSERVATIONS OF COMPLEX DYNAMIC BEHAVIOR IN THE H2-C2 REACTION CN
NICKEL

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL. 316 [1979] PP. 638-651

[ 281 ]

GASPAR, Z.; THOMPSON, JOHN M. T.

A BLOCKING MODEL FOR THE SET OF LMBILIC CATASTROPHES

MATH. PROC. CAMBRIDGE PHILOS. SCC. VOL. 82 [1977] PP. 497-507

[ 282 ]

GLASS, LECN; MACKEY, MICHAEL C.

PATHOCGICAL CONDITIONS RESULTING FROM INSTABILITIES IN
PHYSIOLOGICAL CONTROL SYSTEMS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL. 316 [1979] PP. 214-235

[ 283 ]

GOBBER, F.; WILLANCH, SKI, K.-D.

LJAPLNCV APPROACH TO MULTIPLE HOPF BIFURCATION

J. MATH. ANAL. APPL. VOL. 71 [1979] PP. 333-350
[ 284 ]

GCL'TSER.IA.M.
BIFLRCATIONS AND STABILITY OF NEUTRAL SYSTEMS IN THE NEIGHBORHOOD
OF THIRD ORDER RESONANCE
PMN VOL43 NC 3 [1979] PP429-440 (ENGLISH TRANSL. PP463-475 1980)

[ 285 ]

GOLDSTEIN,R.A.; HLERTA,M.A.; NEARING,J.
SECONDARY BIFLRCATION NEAR MULTIPLE EIGENVALUES
PREPRINT

[ 286 ]

GCLLLB.J.P.; SWINNEY,HARRY L.
ONSET OF TURBULENCE IN A ROTATING FLLID
PHYS REV LETT VOL35 NO14 [1975] PP927-930

[ 287 ]

GCLLLB.J.P.; SWINNEY,HARRY L.
HYDRODYNAMICS INSTABILITIES AND THE TRANSITION TO TURBULENCE
PHYSICS TODAY [1978]

GCLLLB.J.P.; BRLANNER,T.O.; DANLY,B.G.
SEE ALSO [ 1281
PERIODICITY AND CHAOS IN COUPLED NONLINEAR OSCILLATORS
SCIENCE VOL200 [1978] PP48-50

GCLLLB.J.P.; SWINNEY,HARRY L.; FENSTERMACHER,P.R.; BENSON,S.B.
SEE ALSO [ 791
BIFLRCATIONS TO PERIODIC, QUASIPERIODIC, AND CHAOTIC REGIMES IN
ROTATING AND CONVECTING FLUIDS
BIFLRCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP652-666

GCLLLB.J.P.; SWINNEY,HARRY L.; FENSTERMACHER,P.R.
SEE ALSO [ 255]
DYNAMICAL INSTABILITIES AND THE TRANSITION TO CHAOTIC TAYLOR
VORTEX FLOW
PREPRINT

[ 288 ]

GCLUEITSKY,MARTIN; SCHAEFFER,DAVID
BIFLRCATION ANALYSIS NEAR A DOUBLE EIGENVALUE OF A MODEL CHEMICAL
REACTION
MRC TECHNICAL REPORT #1859 ARCH.RATICNAL MECH.ANAL.(TO APPEAR)

[ 289 ]

GCLUBITSKY,MARTIN
AN INTRODUCTION TO CATASTROPHE THEORY AND ITS APPLICATIONS
SIAM REV. VOL2C NO2 [1978] PP352-387 MR57#10727

[ 290 ]

GCLUBITSKY,MARTIN; SCHAEFFER,DAVID
AN ANALYSIS OF IMPERFECT BIFLRCATION
BIFLRCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP127-133
[ 291 ]

GGLBITSKY, MARTIN; SCHAEFFER, DAVID
IMPERFECT BIFURCATION IN THE PRESENCE OF SYMMETRY
COMM. MATH. PHYS. VOL. 67 [1979] PP205-232

[ 292 ]

GCLLBITSKY, MARTIN; SCHAEFFER, DAVID
BOUNDARY CONDITIONS AND MODE JUMPING IN THE BUCKLING OF A
RECTANGULAR PLATE
COMM. MATH. PHYS. VOL. 69 [1979] PP209-236

[ 293 ]

GCLLBITSKY, MARTIN; SCHAEFFER, DAVID
A THEORY FOR IMPERFECT BIFURCATION VIA SINGULARITY THEORY
COMM. PURE APPL. MATH. VOL. 32 [1979] PP1-77

[ 294 ]

GCLLBITSKY, MARTIN; SCHAEFFER, DAVID
A SINGULARITY THEORY APPROACH TO STEADY-STATE BIFURCATION THEORY
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS (TO APPEAR) MARCEL
DEKKER, INC. [1980]

[ 295 ]

GCLLBITSKY, MARTIN; KEYFITZ, BARBARA L.
A QUALITATIVE STUDY OF THE STEADY STATE SOLUTIONS FOR A CONTINUOUS
FLCW STIRRED TANK CHEMICAL REACTOR
SIAM J. MATH. ANAL. VOL. 11 NO. 2 [1980] PP316-344

[ 296 ]

GCLLBITSKY, MARTIN; SCHAEFFER, DAVID; KEYFITZ, BARBARA L.
A SINGULARITY THEORY ANALYSIS OF THE THERMAL CHAT BRANCHING MODEL
FOR THE EXPLCSION PENINSULA
COMM. PURE APPL. MATH. (SUBMITTED)

[ 297 ]

GCLLBITSKY, MARTIN; SCHAEFFER, DAVID
THE BENARD PROBLEM IN SPHERICAL GEOMETRY: AN EXAMPLE WITH C(3)
SYMMETRY
IN PREPARATION

[ 298 ]

GCLLBITSKY, MARTIN; LANGFORD, W. F.
CLASSIFICATION AND UNFOLDINGS OF DEGENERATE HOPF BIFURCATIONS
SUBMITTED TO J.DIFF.EQL.

[ 299 ]

GCRGCN, NCAM; HOPFENSTEADT, FRANK C.
AN ANALYSIS OF TRANSIENT BEHAVIOR IN THE ONSET OF CONVECTION
PREPRINT

[ 300 ]

GCRGCN, NCAM; HOPFENSTEADT, FRANK C.
NONLINEAR STABILITY ANALYSIS OF STATIC STATES WHICH ARISE THROUGH
BIFURCATION
COMM. PURE APPL. MATH. VOL. 28 [1975] PP355-373
[ 301 ]

GREEN, DAVID JR.; WHITE, ROBERT G.
ON MULTIPLE PARAMETER BIFURCATION IN DIFFUSION MODELS
J. MATH. ANAL. APPL. VOL 83 PP 302-315 [1981]

[ 302 ]

GREENBERG, M. J.; REISS, E. L.; KELLER, H. B.
NONLINEAR DEFLECTIONS OF SHALLOW SPHERICAL SHELLS
J. AERONAUTICAL SCIENCES VOL 24 NO 7 [1957] PP 533-543 MR 19#698

[ 303 ]

GREENLEE, W. M.
REMARKS ON BRANCHING FROM MULTIPLE EIGENVALUES
LECTURE NOTES IN MATH. VOL 322 PP 101-121 NONLINEAR PROBLEMS IN THE
PHYSICAL SCIENCES AND BIOLOGY [1973] SPRINGER BERLIN

[ 304 ]

GLCKENHEIMER, JOHN
BIFURCATION AND CATASTROPHE, DYNAMICAL SYSTEMS
(PRCC.SYMPCS.UNIV.OF BAHIA, SALVADOR, 1971) ACADEMIC PRESS, NEW YORK
[1973] MR49#9878

[ 305 ]

GLCKENHEIMER, JOHN; OSTER, G.
BIFURCATION PHENOMENA IN POPULATION MODELS
THE HOPF BIFURCATION THEOREM AND ITS APPLICATIONS ED. MARSDEN, M. MC
CRACKEN, SPRINGER-VERLAG [1976] PP 327-353

[ 306 ]

GLCKENHEIMER, JOHN; IPAKTCHI, A.; OSTER, G.
THE DYNAMICS OF DENSITY DEPENDENT POPULATION MODELS
J. MATH. BICL. VOL 4 [1977] NO 2 PP 101-147 MR55#14264

[ 307 ]

GLCKENHEIMER, JOHN
BIFURCATIONS OF DYNAMICAL SYSTEMS
C.I.M.E. (TO APPEAR) [1978]

[ 308 ]

GLCKENHEIMER, JOHN
ON THE BIFURCATION OF MAPS OF THE INTERVAL
INVENT. MATH. VOL 39 NO 2 PP 165-178 L1978] MR55#11312

[ 309 ]

GLCKENHEIMER, JOHN
COMMENTS ON CATASTROPHE AND CHAOS
LECTURES ON MATHEMATICS IN LIFE SCIENCES VOL 10 PP 1-47 [1978]

[ 310 ]

GLCKENHEIMER, JOHN
THE BIFURCATION OF QUADRATIC FUNCTIONS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL 316 [1979] PP 78-85

[ 311 ]

GLCKENHEIMER, JOHN
A BRIEF INTRODUCTION TO DYNAMICAL SYSTEMS
LECTURES IN APPLIED MATHEMATICS VOL17 PP187-253 [1979]

[ 312 ]

LOCKENHEIMER, JOHN
ON A CO Dimension TWO BIFURCATION
PREPRINT

[ 313 ]

GLIRALD, J.P.; ICCSS, GERARD
SUR LA STABILITE DES ECOULEMENTS LAMINAIRES
C.R.ACAD.SCI.PARIS SER.A-B VCL266 [1969] PP1283-1286

[ 314 ]

GLMOWSKI, IGOR; MIRA, CHRISTIAN
SENSITIVITY PROBLEMS RELATED TO CERTAIN BIFURCATION IN NON-LINEAR
RECLURRENCE RELATIONS
AUTOMATICA J.IFAC VCL5 [1969] PP303-317 MR53#753

[ 315 ]

GLMOWSKI, IGOR; TRICKETT, JOHN K.
SUR LES BIFURCATIONS LIEES AUX CAS D'EXCEPTION D'UNE RECURRENCE
CONSERVATIVE DE LA DEUXIEME ORDRE
C.R.ACAD.SCI.PARIS SER.A VCL275 [1972] PP147-149 MR47#4471

[ 316 ]

GLMOWSKI, IGOR
SUR LES BIFURCATIONS LIEES AUX CAS D'EXCEPTION DEGENERES D'UNE
RECLURRENCE CONSERVATIVE DU DEUXIEME ORDRE
C.R.ACAD.SCI.PARIS SER.A VCL275 [1972] PP939-942 MR47#666

[ 317 ]

GLMOWSKI, IGOR; MIRA, CHRISTIAN
BIFURCATION FCLP UNE RECURRENCE DU DEUXIEME ORDRE, PAR TRAVERSEE
D'UN CAS CRITIQUE AVEC DEUX MULTIPLICATEURS COMPLEXES CONJUGUES
C.R.ACAD.SCI.PARIS SER.A VCL278 [1974] PP1591-1593 MR50#805

[ 318 ]

GLMOWSKI, IGOR; MIRA, CHRISTIAN
SUR LES RECURRENCES, DU TRANSFORMATIONS PONCTUELLES, DU PREMIER
ORDRE, AVEC INVERSE NON UNIQUE
C.R.ACAD.SCI.PARIS SER.A VCL280 [1975] PP905-908 MR51#10928

[ 319 ]

GLMOWSKI, IGOR; MIRA, CHRISTIAN
ACCOLMULATIONS DE BIFURCATIONS DANS LUNE RECURRENCE
C.R.ACAD.SCI.PARIS SER.A VCL281 [1975] PP45-48 MR51#10929

[ 320 ]

GLMOWSKI, IGOR; MIRA, CHRISTIAN
BIFURCATION DESTABILISANT LUNE SOLUTION CHAOTIQUE D'UN
ENDOMORPHISME DE LA DEUXIEME ORDRE
C.R.ACAD.SCI.PARIS SER.A VCL286 [1978] PP427-430

[ 321 ]

GLMOWSKI, IGOR; MIRA, CHRISTIAN
DYNAMIQUE CHAOTIQUE, TRANSFORMATIONS PONCTUELLES TRANSITION
ORDRE-DESCORDRE
CEPACUES EDITIONS 480PP [1980] TOLLOLSE
[ 322 ]
GLUMOWSKI, IGOR; MIRA, CHRISTIAN
RECURRENCES AND DISCRETE DYNAMIC SYSTEMS
LECTURE NOTES IN MATH. VOL89 SPRINGER-VERLAG, BERLIN [1980]
VI+272PP

[ 323 ]
GLREL, OKAN
POINCARE'S BIFURCATION ANALYSIS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP5-26

[ 324 ]
GUREL, OKAN
NECESSARY AND SUFFICIENT CONDITIONS FOR COOPERATIVE PEELING OF MULTIPLE GENERATING SINGULAR POINTS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP39-42

[ 325 ]
GUSTAFSON, K.; SATHER, DUANE P.
A BRANCHING ANALYSIS OF THE HARTREE EQUATION
REND. MAT. VCL6 NO 4 [1971/72] PP723-734 MR46#9823

[ 326 ]
GUSTAFSON, K.; SATHER, DUANE P.
LARGE NONLINEARITIES AND MONCTONICITY
ARCH. RATIONAL MECH. ANAL. VOL48 [1972] PP109-122 MR49#1239

[ 327 ]
GUSTAFSON, K.; SATHER, DUANE P.
LARGE NONLINEARITIES AND CLOSED LINEAR OPERATORS
ARCH. RATIONAL MECH. ANAL. VOL52 [1973] PP10-19 MR49#1251

[ 328 ]
HABETLER, G. J.; MATKOWSKY, BERNARD J.
ON THE VALIDITY OF A NONLINEAR DYNAMIC STABILITY THEORY
ARCH. RATIONAL MECH. ANAL. VOL57 [1975] PP166-188 MR50#13849

[ 329 ]
HACKER, F.; SIMPSON, R. BRUCE
MULTIPLE POSITIVE SOLUTIONS OF SPHERICALLY SYMMETRIC NONLINEAR BOUNDARY VALUE PROBLEMS
J. MATH. ANAL. APPL. VOL43 [1973] PP357-372 MR48#6661

HAGAN, PATRICK S.; COHEN, DONALD S.; SIMPSON, HENRY C.
SEE ALSO [ 178 ]
SPATIAL STRUCTURES IN PREDATOR-PREY COMMUNITIES WITH HEREDITY EFFECTS AND DIFFUSION
MATH.BIOSCI. VOL44 PP167-177 [1979]
[ 330 ]

HAKEN, H.

SYNERGETICS AND BIFURCATION THEORY

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP357-375

HALE, JACK K.; BANCROFT, STEPHEN; SWEET, DANIEL

SEE ALSO [ 52 ]

ALTERNATIVE PROBLEMS FOR NONLINEAR FUNCTIONAL EQUATIONS

J. DIFFERENTIAL EQUATIONS VOL4 [1968] PP40-56 MR36#3184

[ 331 ]

HALE, JACK K.

APPLICATIONS OF ALTERNATIVE PROBLEMS

LECTURE NOTES 71-1 [1971] 69PP LEFSCHETZ CENTER FOR DYNAMICAL

SYSTEMS BRONL UNIVERSITY PROVIDENCE

HALE, JACK K.; CHCW. SHLI-NEE; MALLET-PARET, JOHN

SEE ALSO [ 158 ]

APPLICATIONS OF GENERIC BIFURCATION I

ARCH. RATICNAL MECH. ANAL. VOL59 NO2 [1975] PP159-188 MR52#11675

HALE, JACK K.; CHCW. SHLI-NEE; MALLET-PARET, JOHN

SEE ALSO [ 159 ]

APPLICATIONS OF GENERIC BIFURCATION II

ARCH. RATICNAL MECH. ANAL. VOL62 NO3 [1976] PP209-235 MR54#3753

[ 332 ]

HALE, JACK K.

TOPICS IN LOCAL BIFURCATION THEORY

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP605-607

HALE, JACK K.; CHCW. SHLI-NEE; MALLET-PARET, JOHN

SEE ALSO [ 163 ]

AN EXAMPLE OF BIFURCATION TO HOMOCLINIC CRBITS

J. DIFFERENTIAL EQUATIONS VOL37 [1980] PP51-373

HALE, JACK K.; DE CLIVEIRA, JOSE CARLCS F.

SEE ALSO [ 229 ]

HOPF BIFURCATION FOR FUNCTIONAL EQUATIONS

J. MATH. ANAL. APPL. VOL74 [1980] PP41-59

HALE, JACK K.; DE CLIVEIRA, JOSE CARLCS F.

SEE ALSO [ 230 ]

DYNAMIC BEHAVIOR FROM BIFURCATION EQUATIONS

TOHCKU MATH. J. (TO APPEAR)

[ 333 ]

HALLAN, THOMAS G.

CN. BIFURCATION IN ECO SYSTEM MODELS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP482-489

HARTMANN, CHRISTIAN; CLERC, RENE-LOUIS

SEE ALSO [ 172 ]

BIFURCATION MECHANISM OF A SECOND ORDER RECURRENCE LEADING TO THE
APPEARANCE OF A PARTICULAR STRANGE ATTRACTOR

PRCEEDINGS VIII TH. INTERNAT.CONF. NONLINEAR OSCILLATIONS PRAGUE
[1978] PP199-204

HARTMANN, CHRISTIAN; CLERC, RENE-LOUIS

SEE ALSO [173]

QUELQUES PROPRIETES DE CERTAINES SINGULARITES UNIDIMENSIONNELLES

D'UNE RECURRENCE AUTONOME DU SECOND ORDRE

C.R.ACAD.SCI.PARIS SER.A-B. VOL289 [1979] PP31-34

HARTMANN, CHRISTIAN; CLERC, RENE-LOUIS

SEE ALSO [174]

SUR LES BIFURCATIONS D'UNE CCURBE INVARIANTE ISOLEE FERMEE D'UNE
RECURRENCE DL SECOND ORDRE

C.R.ACAD.SCI.PARIS SER.A-B. VOL290 [1980] PP1005-1001

[334]

HASSARD, BRIAN D.

THE ROLE OF CENTER MANIFOLDS IN COMPUTATION OF THE HOPF
BIFURCATION

SIAM NATIONAL MEETING [1980]

[335]

HEINEMAN, R. F.; FCCRE, A. B.

HOFF BIFURCATION COMPUTATIONS FOR DISTRIBUTED PARAMETER SYSTEMS

SIAM NATIONAL MEETING [1980]

[336]

HEINZ, H. R.

ÜBER DAS VERZWEIGUNGSVERHALTEN EINES NICHTLINEAREN

EIGENWERTPROBLEMS IN DER NAHE EINES UNFENDLICH VIELFACHEN

EIGENWERTES DER LINEARTSIERLUNG

MANLSCRIPTA MATH. VOL19 [1976] NP2 PP105-132 MR54#1035

[337]

HERFCRT, R. F.; TRLE, HANS

BIFURCATION AND NON-LINEAR STABILITY OF SOLUTIONS OF THE

QUASI-GEOSTRUCTURAL EQUATION

GERLANDS BEITR.GEOPHYSIK.LEIFZIG VOL96 [1977] NO6 PP425-442

HERNANDEZ, JESUS; DIAS, JOÃO-PALLO

SEE ALSO [242]

A REMARK ON A PAPER BY J.F.TCLAND AND SOME APPLICATIONS TO
UNILATERAL PROBLEMS

PRCC.RCY.SCC.EDINBURGH SECT.A VOL75 NO16 [1975/76] MR56#1151

HERNANDEZ, JESUS; DIAS, JOÃO-PALLO

SEE ALSO [243]

BIFURCATION A L'INFINI ET ALTERNATIVE DE FREDHOLM POUR CERTAINS
PROBLEMES UNILATERALX

J.MATH.PURES APPL. VOL55 [1976] PP189-206

[338]

HERNANDEZ, JESUS

POSITIVE SOLUTIONS OF REACTION-DIFFUSION SYSTEMS WITH NONLINEAR
BOUNDARY CONDITIONS AND THE FIXED POINT INDEX
PREPRINT

[ 535 ]

HERSCHKOWITZ-KALFMAN,M.

BIFURCATION ANALYSIS OF NONLINEAR REACTION-DIFFUSION EQUATIONS
II. STEADY STATE SOLUTIONS AND COMPARISON WITH NUMERICAL
STYLLETTIONS

BULL.MATH.BICLCGY VOL37 [1975] NO6 PF589-636 MR53#15409B

HERSCHKOWITZ-KALFMAN,M.; ERNEUX,T.
SEE ALSO [ 246 ]

THE BIFURCATION DIAGRAM OF MODEL CHEMICAL REACTIONS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP296-313

[ 340 ]

HESS,BENNO; PLESSER,THEODOR

TEMPORAL AND SPATIAL ORDER IN BIOCHEMICAL SYSTEMS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP203-213

[ 341 ]

HESS,PETER; KATC,TCSIC

ON SOME LINEAR AND NONLINEAR EIGENVALUE PROBLEMS WITH AN INDEFINITE WEIGHT FUNCTION

COMM.PARTIAL DIFFERENTIAL EQUATIONS VOL5 [1980] PP999-1030

[ 342 ]

HESS,PETER

ON MULTIPLE POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EIGENVALUE
PROBLEMS

COMM. IN PARTIAL DIFFERENTIAL EQUATIONS VOL6 NO 8 PP951-961 [1981]

[ 343 ]

HESS,PETER

ON BIFURCATION AND STABILITY OF POSITIVE SOLUTIONS OF NONLINEAR
ELLIPTIC EIGENVALUE PROBLEMS

PRCC.CONF.DYNAMICAL SYSTEMS (TO APPEAR) GAINESVILLE (FLORIDA)
[1981] FEB.

[ 344 ]

HESS,PETER

AN ANTI-MAXIMUM PRINCIPLE FOR LINEAR ELLIPTIC EQUATIONS WITH AN
INDEFINITE WEIGHT FUNCTION

J.DIFFERENTIAL EQUATIONS(TO APPEAR)

[ 345 ]

HITZL, DONALD L.

NUMERICAL DETERMINATION OF THE CAPTURE/ESCAPE BOUNDARY FOR THE
HENCK ATTRACTOR

PHYSICA D VOL2 [1981] PP370-378
[ 346 ]

HOLMES, PHILIP J.; RAND, DAVID A.
THE BIFURCATIONS OF DUFFING'S EQUATION: AN APPLICATION OF
CATASTROPHE THEORY
J. SCLND AND VIBRATION VCL44 [1976] (2) PP237-253

[ 347 ]

HOLMES, PHILIP J.
BIFURCATIONS TO DIVERGENCE AND FLUTTER IN FLOW-INDUCED
COSCILLATIONS: A FINITE DIMENSIONAL ANALYSTS
J. SCLND VIBRATION [1977] VOL53 NO4 PP471-503 MR56#14109

[ 348 ]

HOLMES, PHILIP J.; MARSDEN, JERRILD E.
BIFURCATIONS TO DIVERGENCE AND FLUTTER IN FLOW-INDUCED
COSCILLATIONS: AN INFINITE DIMENSIONAL ANALYSIS
AUTOMATICA VCL14 [1978] PP367-384

[ 349 ]

HOLMES, PHILIP J.; LIN, Y.K.
DETERMINISTIC STABILITY ANALYSIS OF A WIND LOADED STRUCTURE
J. APPL. MECH. VCL45 [1978] PP165-169

[ 350 ]

HOLMES, PHILIP J.; MARSDEN, JERRILD E.
BIFURCATIONS OF DYNAMICAL SYSTEMS AND NONLINEAR OSCILLATIONS IN
ENGINEERING SYSTEMS
LECTURE NOTES IN MATH. VCL648 [1978] PP163-206 SPRINGER, BERLIN

[ 351 ]

HOLMES, PHILIP J.; RAND, DAVID A.
BIFURCATIONS OF THE FORCED VAN DER PLOC OSCILLATOR
QUART. APPL. MATH. VCL35 [1978] PP495-509

[ 352 ]

HOLMES, PHILIP J.; MARSDEN, JERRILD E.
QUALITATIVE TECHNIQUES FOR BIFURCATION ANALYSIS OF COMPLEX SYSTEMS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP608-622

[ 353 ]

HOLMES, PHILIP J.
A STRANGE FAMILY OF THREE-DIMENSIONAL VECTOR FIELDS NEAR A
DEGENERATE SINGULARITY
J. DIFFERENTIAL EQUATIONS VCL37 PP382-403 [1980]

[ 354 ]

HOLMES, PHILIP J.
BIFURCATION IN COUPLED NONLINEAR OSCILLATORS WITH APPLICATIONS TO
FLUTTER AND DIVERGENCE
(TC APPEAR) ASME MONOGRAPH

[ 355 ]

HOLMES, PHILIP J.
LINEERING A DEGENERATE NONLINEAR OSCILLATOR: A CODIMENSION TWO
BIFURCATION
PREPRINT
HCPPENSTEADT, FRANK C.; GORDON, NOAM

SEE ALSO [300]

NONLINEAR STABILITY ANALYSIS OF STATIC STATES WHICH ARISE THROUGH

BIFURCATION

COMM.PURE APPL.MATH. VOL28 [1975] PP355-373

[356]

HCPPENSTEADT, FRANK C.

SOLUTIONS NEAR BIFURCATED STEADY STATES

INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS

(PRCC.UNIV.SOUTHERN CALIFORNIA.LOS ANGELES.CALIF., 1974) PP363-369

ACADEMIC PRESS NEW-YORK [1975] MR54#669

[357]

HCPPENSTEADT, FRANK C.

ANALYSIS OF A STABLE POLYMORPHISM ARISING IN A SELECTION-MIGRATION

MODEL IN POPULATION GENETICS

J.MATHEMATICAL BIOLOGY VOL2 PP235-240 [1975]

[358]

HCPPENSTEADT, FRANK C.

ANALYSIS OF SOME PROBLEMS HAVING MATCHED ASYMPTOTIC EXPANSION

SOLUTIONS

SIAM REV. VOL17 NO1 [1975] PP123-135

[359]

HCPPENSTEADT, FRANK C.

A NONLINEAR RENEWAL EQUATION WITH PERIODIC AND CHAOTIC SOLUTIONS

SIAM-AMS PROCEEDINGS VOL10 [1976] PP51-60

[360]

HCPPENSTEADT, FRANK C.; HYMAN, J.M.

PERIODIC SOLUTIONS OF A LOGISTIC DIFFERENCE EQUATION

SIAM J.APPL.MATH. VOL32 NO 1 [1977] PP73-81

[361]

HCPPENSTEADT, FRANK C.; PERSEK, S.C.

ITERATED AVERAGING METHODS FOR SYSTEMS OF ORDINARY DIFFERENTIAL

EQUATIONS WITH A SMALL PARAMETER

COMM.PURE APPL.MATH. VOL31 [1978] PP133-156

HCPPENSTEADT, FRANK C.; FLAHERTY, J.E.

SEE ALSO [272]

FREQUENCY ENTRAINMENT OF A FORCED VAN DER POL OSCILLATOR

STUDIES IN APPL.MATH. VOL58 [1978] PP5-15

HCPPENSTEADT, FRANK C.; FLAHERTY, J.E.

SEE ALSO [273]

NONLINEAR STABLE RESPONSES OF EXTERNALLY FORCED OSCILLATORY

SYSTEMS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACADEMY OF SCI. VOL316 [1979] PP511-516

HCPPENSTEADT, FRANK C.; GORDON, NOAM

SEE ALSO [299]

AN ANALYSIS OF TRANSIENT BEHAVIOR IN THE ONSET OF CONVECTION

PREPRINT
[ 362 ]

HOWARD.L.N.; KOPELL.NANCY
PLANE WAVE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS
STUDIES IN APPL.MATH. VOL52 PP291-328 [1973]

[ 363 ]

HOWARD.L.N.; KOPELL.NANCY
BIFURCATIONS UNDER NONGENERIC CONDITIONS
ADVANCES IN MATH. VOL13 NO3 [1974] PP274-283 MR49#10979

[ 364 ]

HOWARD.L.N.
BIFURCATIONS IN REACTION-DIFFUSION PROBLEMS
ADVANCES IN MATH. VOL16 [1975] PP246-258 MR51#6057

[ 365 ]

HOWARD.L.N.; KOPELL.NANCY
BIFURCATIONS AND TRAJECTORIES JOINING CRITICAL POINTS
ADVANCES IN MATH. VOL18 NO3 [1975] PP306-358 MR53#938 +ERRATUM

[ 366 ]

HOWARD.L.N.; KOPELL.NANCY
SLOWLY VARYING WAVES AND SHOCK STRUCTURES IN REACTION-DIFFUSION
EQUATIONS
STUDIES IN APPL.MATH. VOL56 FP95-145 [1977]

[ 367 ]

HOYLE,STEPHEN L.
HOPF BIFURCATION FOR ORDINARY DIFFERENTIAL EQUATIONS WITH ZERO
EIGENVALUE
J.MATH.ANAL.APPL. VOL74 [1980] PP212-232

[ 368 ]

HOYLE,STEPHEN L.
LOCAL SOLUTION MANIFOLD FOR NONLINEAR EQUATIONS
NONLINEAR ANAL.THEORY.METHODS AND APPL. VOL4 NO 2 [1980] PP283-295

[ 369 ]

HSU,IN-DING; KAZARINCFF,N.D.
AN APPLICABLE HOPF BIFURCATION FORMULA AND INSTABILITY OF SMALL
PERIODIC SOLUTIONS OF THE FIELD-NOYES MODEL
J.MATH.ANAL.APPL. VOL55 [1976] NO1 PP61-89 MR57#6634

HLERTA,M.A.; GCLCSTEIN,R.A.; NEARING,J.

SEE ALSO [ 285 ]

SECONDARY BIFURCATION NEAR MULTIPLE EIGENVALUES

PREPRINT

[ 370 ]

HLILECL.R.R.
HOPF-FRIEDRICHS BIFURCATION AND THE HUNTING OF A RAILWAY AXLE
QUART.APPL.MATH. VOL36 NO 1 FP85-94 [1978]
[ 371 ]

HUNT, GILES M.
IMPERFECTIONS AND NEAR-COINCIDENCE FOR SEMISYMMETRIC BIFURCATIONS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP572-589

[ 372 ]

HUNT, GILES W.
IMPERFECTION-SENSITIVITY OF SEMI-SYMMETRIC BRANCHING
PRCC.RCY.SCC.LONDON SER.A VOL357 [1977] NO1689 PP193-211
MR57#18419

[ 373 ]

HUNT, GILES W.; THOMPSON, JOHN M.T.
A GENERAL THEORY OF ELASTIC STABILITY
WILEY-INTERSCIENCE [JOHN WILEY & SONS] LONDON-NEW-YORK-SYDNEY
[1973] 322PP MR57#4698

[ 374 ]

HUNT, GILES W.; THOMPSON, JOHN M.T.
TOWARDS A UNIFIED BIFURCATION THEORY
Z.ANGEL.MATH.PHYS. VOL26 [1975] NO 5 PP581-603 MR52#9277

[ 375 ]

HUNT, GILES W.; THOMPSON, JOHN M.T.
A BIFURCATION THEORY FOR THE INSTABILITIES OF OPTIMIZATION AND DESIGN.
MATHEMATICAL METHODS OF THE SOCIAL SCIENCES, SYNTHESE VOL36 NO3
[1977] PP315-351 MR57#18420

HYMAN, J.M.; HCPPENSTEADT, FRANK C.
SEE ALSO L 3601
PERIODIC SOLUTIONS OF A LOGISTIC DIFFERENCE EQUATION
SIAM J.APL.MATH. VOL32 NO 1 [1977] PP73-81

INFANTE, E.F.; CHAFEE, NATHANIEL
SEE ALSO [ 142 ]
BIFURCATION AND STABILITY FOR A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION
BULL.AMER.MATH.SCC. VOL80 NO1 [1974] PP49-52 MR48#6701

INFANTE, E.F.; CHAFEE, NATHANIEL
SEE ALSO [ 144 ]
A BIFURCATION PROBLEM FOR A NONLINEAR PARTIAL DIFFERENTIAL EQUATION OF PARABOLIC TYPE
APPLICABLE ANAL. VOL4 [1974/75] PP17-37 MR55#13084

ICCSS, GERARD; GLIRAUD, J.P.
SEE ALSO [ 313 ]
SUR LA STABILITE DES ECOULEMENTS LAMINAIRES
C.R.ACAD.SCI.PARIS SER.A-B VOL266 [1968] PP1283-1286

[ 376 ]

ICCSS, GERARD
SUR LA THEORIE DE LA STABILITE NON LINEAIRE DES ECOULEMENTS
LAMINAIRES
C.R.ACAD. CI.PARIS SER.A-B VCL269 [1969] PP333-336 MR40#3786

[ 377 ]

ICCSS,GERARD
THECRIE NON LINEAIRE DE LA STABILITE DES ECOULEMENTS LAMINAIRES
DANS LE CAS DE "L'ECHANGE DES STABILITES"
ARCH.RATIONAL MECH.ANAL. VCL40 NC3 [1970/71] PP166-208 MR42#4074

[ 378 ]

ICCSS,GERARD
BIFLRCATION DES SOLUTIONS PERIODIQUES DE CERTAINS PROBLEMES
D'EVCLLTION
C.R.ACAD.SCI.PARIS SER.A-B VCL273 [1971] PP624-627 MR45#962A

[ 379 ]

ICCSS,GERARD
SUR LA STABILITE DE LA SOLUTION PERIODIQUE SECONDAIRE INTERVENANT
DANS CERTAINS PROCBLENES D'EVCLUTION
C.R.ACAD.SCI.PARIS SER.A-B VCL273 [1971] PP912-915 MR45#962B

[ 380 ]

ICCSS,GERARD
EXISTENCE ET STABILITE DE LA SOLUTION PERIODIQUE SECONDAIRE
INTERVENANT DANS LES PROCBLENES D'EVOLUTION DU TYPE NAVIER-STOKES
ARCH.RATIONAL MECH.ANAL. VCL47 NO4 [1971] PP301-329 MR49#11075

[ 381 ]

ICCSS,GERARD
STABILITE DE LA SOLUTION PERIODIQUE SECONDAIRE INTERVENANT DANS
CERTAINS PROCBLENES D'EVOLUTION
C.R.ACAD.SCI.PARIS SER.A-B VCL274 [1972] PP108-111 MR45#5833

[ 382 ]

ICCSS,GERARD
BIFLRCATION D'UNE SOLUTION T-PERIODIGLE VERS UNE SOLUTION
NT-PERIODIGLE.FCLRCERTAINS PROBLEVES D'EVOLUTION DU TYPE
NAVIER-STOKES
C.R.ACAD.SCI.PARIS SER.A-B VCL275 [1972] PP935-938 MR47#2206

[ 383 ]

ICCSS,GERARD; TRCNEL,GERARD
EXEMPLES DE BIFLRCATION
C.R.ACAD.SCI.PARIS SER.A-B VCL276 [1973] PP1353-1356 MR47#7535

[ 384 ]

ICCSS,GERARD
BIFLRCATION CF A T-PERIODIC FLOW TOWARD AN NT-PERIODIC FLOW AND
THEIR NON-LINEAR STABILITIES
ARCH.MECH.(ARCH.MECH.STCS.) VOL26 [1974] PP795-804 MR52#11374

[ 385 ]

ICCSS,GERARD
BIFLRCATION CF A PERIODIC SOLUTION OF THE NAVIER-STOKES EQUATIONS
INTC AN INVARIANT TORUS
ARCH.RATIONAL MECH.ANAL. VOL58 NC1 [1975] PP35-56 MR52#14692

[ 386 ]

ICCSS,GERARD
SUR LA DELAIEME BIFLRCATION D'UNE SOLUTION STATIONNAIRE DE
SYSTEMES DE TYPE NAVIER-STOKES

ARCH.RATIONAL MECH.ANAL. VCL64 NO4 [1977] PP339-369

[ 387 ]

ICCSS.GERARD; JOSEPH,DANIEL D.

BIFURCATION AND STABILITY OF NT-PERIODIC SOLUTIONS BRANCHING FROM

T-PERIODIC SOLUTIONS AT POINTS OF RESONANCE

ARCH.RATIONAL MECH.ANAL. VOL66 NO2 [1977] PP135-172

ICCSS.GERARD; CHENCINER,ALAIN

SEE ALSO [ 15C ]

BIFURCATION D'UNE TORE T2 EN LN TORE T3

C.R.ACAD.SCI.PARIS SER.A-B VOL284 [1977] PP1207-1210 MR55#11308

[ 388 ]

ICCSS.GERARD; LCZI.RENE

CONVECTION ENTRE DEUX PLAQUES PLANES EN ROTATION ET EFFET DYNAMO

RESULTANT D'UNE BIFURCATION SECONDAIRE

J.MECANIQUE VOL16NC5 [1977] PP675-703

[ 389 ]

ICCSS.GERARD; TRLE.HANS; NIELSEN,H.B.

BIFURCATION OF THE STATIONARY EKMAN FLOW IN A STABLE PERIODIC FLOW

ARCH.RATIONAL MECH.ANAL. VOL68 NO3 [1978] PP227-256

[ 390 ]

ICCSS.GERARD

ON A PROBLEM OF FORCED NONLINEAR OSCILLATIONS. NUMERICAL EXAMPLE OF

BIFURCATION INTO AN INVARIANT TORUS

NONLINEAR ANALYSIS THEORY METHODS AND APPLICATIONS, VOL2 NO2 [1978] PP211-224

ICCSS.GERARD; CHENCINER,ALAIN

SEE ALSO [ 151 ]

BIFURCATIONS DE TORES INVARIANTS

ARCH.RATIONAL MECH.ANAL. VCL69 NO2 [1979] PP109-198

ICCSS.GERARD; CHENCINER,ALAIN

SEE ALSO [ 152 ]

PERSISTENCE ET BIFURCATIONS DE TORES INVARIANTS

ARCH.RATIONAL MECH.ANAL. VCL71 NO4 [1979] PP301-306

[ 391 ]

ICCSS.GERARD

BIFURCATIONS ELEMENTAIRES ET TRANSITION

SEMINAIRE GCLLACLI-SCHWARTZ [1979/80] EXPOSE NO 21 AVRIL 1980

24PP.

[ 392 ]

ICCSS.GERARD; LANGFORD,W.F.

INTERACTIONS OF HOPE AND PITCHFORK BIFURCATIONS

BIFURCATION PROBLEMS AND THEIR NUMERICAL SOLUTION EDITED BY

H.D.MITTELMANN AND H.WEBER ISNMS4 BIRKAUSER VERLAG BASEL [1980]

PP103-134

[ 393 ]

IFAKTCHI,A.; CSTER,G.; ROCKLIN,S.

PHENotypic STRUCTURE AND BIFURCATION BEhAVIOR OF POPULATION MODELS

THEORETICAL POPULATION BIOL. VOL 10 [1974] PP365
IPAKTCHI, A.; CSTER, G.; GUCKENHEIMER, JOHN

SEE ALSO [306]

THE DYNAMICS OF DENSITY DEPENDENT POPULATION MODELS

J.MATH.BICL. VCL4 [1977] NC2 PP101-147 MR55#14264

[394]

ITCH, TATSUC

HOFF BIFURCATION OF SEMILINEAR EVOLUTION EQUATIONS

PRCC. JAPAN ACAD. SER. A VOL57 NO 4 [1981] PP199-200

[395]

JEGGLE, HANSGEOCRG

EXISTENCE AND DISCRETE APPROXIMATION OF BIFURCATION POINTS

CONTINUATION METHODS PP157-186 [1978] ACADEMIC PRESS

JCLY, G.; KERNEVEZ, J.P.; DUBAN, M.C.; BUNCH, B.; THOMAS, D.

SEE ALSO § 129]

MORPHOGENESIS DANS UN SYSTEME DE DIFFUSION-REACTION

J.PHYSIQUE CCLLCQUE C5 SUPPL. NO 8 VCL 39 [1978] PP1-2

JCLY, G.; KERNEVEZ, J.P.; DUBAN, M.C.; BUNCH, B.; THOMAS, D.

SEE ALSO [130]

HYSTERESIS, SCILLATIONS, AND PATTERN FORMATION IN REALISTIC

IMMOBILIZED ENZYME SYSTEMS

J.MATH.BICL. VCL7 PP41-56 [1979]

[396]

JCLY, G.; KERNEVEZ, J.P.; THOMAS, D.

PATTERN FORMATION BY REACTION-DIFFUSION INSTABILITIES: APPLICATION

TO KAUFFMAN'S MODEL FOR MORPHOGENESIS IN DROSOPHILA

PREPRINT

[397]

JONKER, LEO; RAND, DAVID A.

A LOWER BOUND FOR THE ENTROPY OF CERTAIN MAPS OF THE UNIT INTERVAL

PREPRINT [1978]

[398]

JONKER, LEO; RAND, DAVID A.

BIFURCATIONS IN ONE DIMENSION I: THE NONWANDERING SET

PREPRINT [1978]

[399]

JONKER, LEO; RAND, DAVID A.

BIFURCATIONS IN ONE DIMENSION II: A VERSAL MODEL FOR BIFURCATIONS

INVENT. MATH. VCL63 PP1-15 [1981]

JCRDAN, KATHLEEN B.; ANTMAN, STUART S.

SEE ALSO [27]

QUALITATIVE ASPECTS OF THE SPATIAL DEFORMATION OF NON-LINEARLY

ELASTIC RODS

PRCC.RGY.SCC.ECINBLRGH SECT.A VCL73 [1975] PP85-105 MR53#12151
[ 400 ]

JOSEPH, DANIEL C.

NON-LINEAR HEAT GENERATION AND STABILITY OF THE TEMPERATURE

DISTRIBUTION IN CONDUCTING SCLIDS

INTERNAT. J. HEAT MASS TRANSFER. VOL8 [1965] PP281-288

[ 401 ]

JOSEPH, DANIEL C.

BOLNCS ON LAMBDA FOR POSITIVE SOLUTIONS OF

DELTA.PSI+LAMBDA.F(R)(PSI+G(PSI))=0

QUART. APPL. MATH. VOL23 [1965/66] PP349-354 MR33#2938

[ 402 ]

JOSEPH, DANIEL C.

PARAMETER AND DOMAIN DEPENDENCE OF EIGENVALUES OF ELLIPTIC PARTIAL

DIFFERENTIAL EQUATIONS

ARCH. RATIONAL MECH. ANAL. VOL24 [1967] PP325-351 MR34#8004

[ 403 ]

JOSEPH, DANIEL D.; WARNER, W. H.

PARAMETER VALUES EXCLUDED BY EXISTENCE CONDITIONS FOR BUOYANT

DISSIPATIVE MOTIONS IN VERTICAL CHANNELS

QUART. APPL. MATH. VOL25 [1967] PP163-172

[ 404 ]

JOSEPH, DANIEL C.

EIGENVALUES BOLNCS FOR THE CRR-SOMMERFELD EQUATION

J. FLLID MECH. VOL33 [1968] PP617-621 MR38#1872

JOSEPH, DANIEL C.; FIFE, PALL C.

SEE ALSO [ 256 ]

EXISTENCE OF CONVECTIVE SOLUTIONS OF THE GENERALIZED BENARD

PROBLEM WHICH ARE ANALYTIC IN THEIR NORM

ARCH. RATIONAL MECH. ANAL. VOL33 NO2 [1949] PP116-138 MR39#1168

[ 405 ]

JOSEPH, DANIEL C.

UNIGENESS CRITERIA FOR THE CONDUCTION-DIFFUSION SOLUTION OF THE

BOLSSINESG EQUATIONS

ARCH. RATIONAL MECH. ANAL. VOL35 [1969] PP169-177 MR40#3792

[ 406 ]

JOSEPH, DANIEL C.

EIGENVALUES BOLNCS FOR THE CRR-SOMMERFELD EQUATION II

J. FLLID MECH. VOL36 [1969] PP721-734 MR39#2399

[ 407 ]

JOSEPH, DANIEL D.; SPARROW, E. M.

NONLINEAR DIFFUSION INDUCED BY NONLINEAR SOURCES

QUART. APPL. MATH. VOL28 [1970] PP327-342 MR42#7153

[ 408 ]

JOSEPH, DANIEL D.; SATTINGER, D. H.

BIFURCATING TIME PERIODIC SOLUTIONS AND THEIR STABILITY

ARCH. RATIONAL MECH. ANAL. VOL45 [1972] PP79-109 MR52#8682

[ 409 ]

JOSEPH, DANIEL D.; LUNDGREN, T. S.

QUASILINEAR DIRICHLET PROBLEMS DRIVEN BY POSITIVE SOURCES

ARCH. RATIONAL MECH. ANAL. VOL49 NO4 [1973] PP241-269
JOSEPH DANIEL C.; CHEN T.S.

SEE ALSO [1483]

SUBCRITICAL BIFURCATION OF PLANE POISEUILLE FLOW

J.FLLID MECH. VCL58 PART2 [1973] PP337-351

[410]

JOSEPH DANIEL C.

REMARKS ABCLT BIFURCATION AND STABILITY OF QUASI-PERIODIC

SOLUTIONS WHICH BIFURCATE FROM PERIODIC SOLUTIONS OF THE
NAVIER-STOKES EQUATIONS

NONLINEAR PROBLEMS IN PHYSICAL SCIENCE AND ENGINEERING SPRINGER

LECTURE NOTES IN MATH. [1973] VCL322 PP130-158

[411]

JOSEPH DANIEL C.

RESPONSE CURVES FOR PLANE POISEUILLE FLOW

ADVANCES APPL.MECH. VOL14 [1974] PP241-278

[412]

JOSEPH DANIEL C.

REPEATED SUPERCRITICAL BRANCHING OF SOLUTIONS ARISING IN THE

VARIATIONAL THEORY OF TURBULENCE

ARCH.RATIONAL MECH.ANAL. VOL53 [1974] PP101-130

JOSEPH DANIEL C.; CHEN T.S.

SEE ALSO [149]

FRICTION FACTORS IN THE THEORY OF BIFURCATING POISEUILLE FLOW

THRROUGH ANNULLAR DUCTS

J.FLLID MECH. VOL66 [1974] NC1 PP189-207 MR54#4294

[413]

JOSEPH DANIEL C.

SLCW MOTION AND VISCOOMETRIC MOTION: STABILITY AND BIFURCATION OF

THE REST STATE OF A SIMPLE FLUID

ARCH.RATIONAL MECH.ANAL. VOL56 [1974/75] PP99-157 MR50#3744

[414]

JOSEPH DANIEL C.; NIELD C.A.

STABILITY OF TIME-PERIODIC AND STEADY SOLUTIONS OF ARBITRARY

AMPLITUDE

ARCH.RATIONAL MECH.ANAL. VOL58 NO4 [1975] PP369-380

[415]

JOSEPH DANIEL C.

GLOBAL EXTENSIONS OF HOPF'S STABILITY THEOREMS

TURBULENCE AND NAVIER STOKES EQUATIONS SPRINGER LECTURE NOTES IN

MATH. VOL565 [1976] PP85-93

[416]

JOSEPH DANIEL C.

FACTORIZATION THEOREMS, STABILITY AND REPEATED BIFURCATION

ARCH.RATIONAL MECH.ANAL. VOL66 [1977] PP99-118

JOSEPH DANIEL C.; IOCSS, GERARD

SEE ALSO [3871]

BIFURCATION AND STABILITY OF NT-PERIODIC SOLUTIONS BRANCHING FROM

T-PERIODIC SOLUTIONS AT POINTS OF RESONANCE

ARCH.RATIONAL MECH.ANAL. VOL66 NO2 [1977] PP135-172
[ 417 ]

JOSEPH.DANIEL D.
THE BIFURCATION OF T-PERIODIC SOLUTIONS INTO NT-PERIODIC SOLUTIONS
AND TORI
INTERNATIONAL WORKSHOP ON SYNERGETICS SPRINGER-VERLAG ED.H.HAKEN
[1977]

JOSEPH, DANIEL D.; BEAVERS, G. S.
SEE ALSO [ 67 ]
FREE SURFACE PROBLEMS IN RHEOLOGICAL FLUID MECHANICS
RHECL.ACTA VCL16 [1977] PP169-189

[ 418 ]

JOSEPH, DANIEL D.
FACTORIZATION THEOREMS AND REPEATED BRANCHING OF SOLUTIONS AT
SIMPLE EIGENVALUE
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN. OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP150-167

[ 419 ]

JOSEPH, DANIEL D.
HYDRODYNAMIC STABILITY AND BIFURCATION
ARCH.MECH.(ARCH.MECH.STOS.) TO APPEAR

[ 420 ]

JURGENS, HARTMUT; PEITGEN, HEINZ-OTTO; SAUPE, DIETMAR
TOPCLOGICAL PERTURBATIONS IN THE NUMERICAL STUDY OF NONLINEAR
EIGENVALUE AND BIFURCATION PROBLEMS
ANALYSIS AND COMPUTATION OF FIXED POINTS PP139-181 [1980] ACADEMIC
PRESS

[ 421 ]

KAPILA, A. K.; MATKOWSKY, BERNARD J.; VEGA, J.
REACTIVE-DIFFUSIVE SYSTEM WITH ARRHENIUS KINETICS: PECULIARITIES OF
THE SPHERICAL GEOMETRY
SIAN J. APPL. MATH. VCL38 NO 3 [1980] PP382-401

[ 422 ]

KAPLAN, JAMES L.; YCRKE, JAMES A.
THE CNSET OF CHAOS IN A FLUID FLOW MODEL OF LORENZ
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN. OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP400-407

KATO, TOSIO; HESS, FETER
SEE ALSO L 341 ]
ON SOME LINEAR AND NONLINEAR EIGENVALUE PROBLEMS WITH AN
INDEFINITE WEIGHT FUNCTION
COMM.PARTIAL DIFFERENTIAL EQUATIONS VCL5 [1980] PP999-1030

[ 423 ]

KAYSER, RICHARD F.; RAVECHE, HARROLD J.
TOWARDS A MOLECULAR THEORY OF THE FREEZING.: THE EQUATION OF
STATE AND THE FREE ENERGY FROM THE FIRST BBGKY EQUATION
J.CHEM.PHYS. VCL68 NC8 [1978] PP3632-3643
[ 424 ]

KAYSER, RICHARD F.; RAVECHE, HARROLD J.
BIFURCATION IN CAUSAGER'S MODEL OF THE ISCTROPIC-NEMATIC TRANSITION
PHYS. REV. A VOL 17 NO 6 [1978] PP2067-2077

KAZARINOFF, N.D.; HSU, IN-DING
SEE ALSO [ 369 ]
AN APPLICABLE HOFF BIFURCATION FORMULA AND INSTABILITY OF SMALL
PERIODIC SOLUTIONS OF THE FIELD-NOYES MODEL
J. MATH. ANAL. APPL. VOL 55 [1976] NO 1 PP61-89 MR57#6634

[ 425 ]

KAZARINOFF, N.D.; WAN, Y-H.; VAN DEN DRIESSCHE, P.
HOFF BIFURCATION AND STABILITY OF PERIODIC SOLUTIONS OF
DIFFERENTIAL DIFFERENCE AND INTEGRIC-DIFFERENTIAL EQUATIONS
J. INST. MATH. APPL. [1978] VOL 21 PP461-477

[ 426 ]

KAZARINOFF, N.D.; VAN DEN DRIESSCHE, P.
A MODEL PREDATOR-PREY SYSTEM WITH FUNCTIONAL RESPONSE
MATH. BIOSCI. VOL 39 [1978] NO 2 PP125-134 MR57#15570

[ 427 ]

KEENER, JAMES P.; KELLER, H.B.
PERTURBED BIFURCATION THEORY
ARCH. RATIONAL MECH. ANAL. VOL 50 [1973] PP159-175 MR49#1253

[ 428 ]

KEENER, JAMES P.
PERTURBED BIFURCATION THEORY AT MULTIPLE EIGENVALUES
ARCH. RATIONAL MECH. ANAL. VOL 56 [1974] PP348-366 MR50#8184

[ 429 ]

KEENER, JAMES P.; KELLER, H.B.
POSITIVE SOLUTIONS OF A CONVEX NONLINEAR EIGENVALUES PROBLEM
J. DIFFERENTIAL EQUATIONS VOL 16 [1974] PP103-125 MR49#11030

[ 430 ]

KEENER, JAMES P.
SECONDARY BIFURCATION IN NONLINEAR DIFFUSION REACTION EQUATIONS
STUDIES IN APPL. MATH. VOL 55 [1976] NO 3 PP187-211 MR56#2122

[ 431 ]

KEENER, JAMES P.
SECONDARY BIFURCATION AND MULTIPLE EIGENVALUES
SIAM J. APPL. MATH. VOL 37 NO 2 [1979] PP30-349

[ 432 ]

KEENER, JAMES P.
INFINITE PERIOD BIFURCATION AND GLOBAL BIFURCATION BRANCHES
SIAM J. APPL. MATH. VOL 41 NO 1 [1981] PP127-144

KELLER, H.B.; REISS, E.L.; GREENBERG, M.J.
SEE ALSO [ 3C2 ]
NONLINEAR DEFLECTIONS OF SHALLOW SPHERICAL SHELLS
J. AERONAUTICAL SCIENCES VOL 24 NO 7 [1957] PP533-543 MR19#698
[ 433 ]

KELLER.H.B.; REISS.E.L.

NON-LINEAR BENDING AND BUCKLING OF CIRCULAR PLATES

PROCEEDINGS OF THE THIRD U.S. NATIONAL CONGRESS OF APPL.MECH.

BROWN UNIVERSITY PROVIDENCE R.I. JUNE11-14 [1958] PP375-385 A.S.

OF MECHANICAL ENGINEERS,N-Y.1958 XXVII:844PP. MR21#840

[ 434 ]

KELLER.H.B.; REISS.E.L.

SPHERICAL CAP SNAPPING

J.AERO/SPACE SCI. VOL26 [1959] PP643-652 MR21#6808

[ 435 ]

KELLER.H.B.; REISS.E.L.; KELLER,J.B.

BUCKLED STATES OF CIRCULAR PLATES

QUART APPL.MATH. VOL20 NO1 [1962] PP55-65

[ 436 ]

KELLER.H.B.; WCLFE.ANTCINETTE W.

ON THE NONLINEAR EQUILIBRIUM STATES AND BUCKLING MECHANISM OF
SPHERICAL SHELLS

J.SCC.INDUST.APPL.MATH. VOL13 [1965] PP604-705 MR32#656

KELLER.H.B.; REISS.E.L.; BAUER,FRANCES

SEE ALSO [ 53 ]

BOUNDARY IMPERFECTIONS IN THE BUCKLING OF SPHERICAL CAPS

SIAM J.APPL.MATH. VOL15 NO2 [1967] PP273-283

[ 437 ]

KELLER.H.B.

NONEXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS OF NONLINEAR
EIGENVALUE PROBLEMS

BULL.AMER.MATH.SCC. VOL74 [1968] PP887-891 MR37#5551

[ 438 ]

KELLER.H.B.

POSITIVE SOLUTIONS OF SOME NONLINEAR EIGENVALUE PROBLEMS
J.MATH.MECH. VOL19 [1968/70] PP279-295 MR40#4619

KELLER.H.B.; BAUER.LCLOS; REISS.E.L.

SEE ALSO [ 55 ]

AXISYMMETRIC BUCKLING OF HOLLOW SPHERES AND HEMISPHERES

COMM.PURE APPL.MATH. VOL23 [1970] PP529-568 MR43#4335

[ 439 ]

KELLER.H.B.

NONLINEAR BIFURCATION

J.DIFFERENTIAL EQUATIONS VOL7 L1970] PP417-434 MR41#8851

KELLER.H.B.; REISS.E.L.; CALLEGARI,ANDREW J.

SEE ALSO [ 132 ]

MEMBRANE BUCKLING:A STUDY OF SOLUTION MULTIPLICITY

COMM.PURE APPL.MATH. VOL24 [1971] PP498-527 MR44#7818

KELLER.H.B.; CEBECI,TLINCER

SEE ALSO [ 139 ]

ACCURATE NUMERICAL METHODS FOR BOUNDARY-LAYER FLCWS.II.

TWC-DIMENSIONAL TURBULENT FLCWS

AIAA J. VOL1C [1972] PP1193-1199 MR46#10300
[ 440 ]

KELLER.H.B.; LANGFORD.W.F.
ITERATIONS, PERTURBATIONS AND MULTIPLICITIES FOR NONLINEAR
BIFURCATIONS PROBLEMS
ARCH.RATIONAL MECH.ANAL. VOL48 NO2 [1972] PP83-108 MR49#1252

[ 441 ]

KELLER.H.B.
EXISTENCE THEORY FOR MULTIPLE SOLUTIONS OF A SINGULAR PERTURBATION
PROBLEM
SIAN J.MATH.ANAL. VOL3 [1972] PP86-92 MR46#9474

KELLER.H.B.; KEENER,JAMES P.
SEE ALSO [ 427 ]
PERTURBED BIFURCATION THEORY
ARCH.RATIONAL MECH.ANAL. VOL50 [1973] PP159-175 MR49#1253

KELLER.H.B.; REISS.E.L.; BAUER,LOUIS
SEE ALSO [ 56 ]
AXISYMMETRIC BLOCKLING OF RIGIDLY CLAMPED HEMISPHERICAL SHELLS
INTERNAT.J.NON-LINEAR MECH. VOL8 [1973] PP31-39

[ 442 ]

KELLER.H.B.
STABILITY THEORY FOR MULTIPLE EQUILIBRIUM STATES OF A NONLINEAR
DIFFUSION PROCESS: A SINGULAR PERTURBED EIGENVALUE PROBLEM
SIAN J.MATH.ANAL. VOL4 [1973] PP134-140 MR48#9064

KELLER.H.B.; KEENER,JAMES P.
SEE ALSO [ 429 ]
POSITIVE SOLUTIONS OF A CONVEX NONLINEAR EIGENVALUES PROBLEM
J.DIFFERENTIAL EQUATIONS VOL16 [1974] DP103-125 MR49#11030

KELLER.H.B.; BAUER.LOUIS; REISS.E.L.
SEE ALSO [ 58 ]
MULTIPLES EIGENVALUES LEAD TO SECONDARY BIFURCATION
SIAN REV. VOL17 [1975] RP101-122 MR51#14714

[ 443 ]

KELLER.H.B.
NUMERICAL SOLUTION OF BIFURCATION AND NONLINEAR EIGENVALUE
PROBLEMS
APPLICATIONS OF BIFURCATION THEORY [1977]

[ 444 ]

KELLER.H.B.
GLOBAL HOMOTopiES AND NEWTON METHODS
RECENT ADVANCES IN NUMERICAL ANALYSIS (TO APPEAR) [1979]

KELLER.H.B.; DECKER, DWIGHT W.
SEE ALSO [ 232 ]
MULTIPLE LIMIT POINT BIFURCATION
J.MATH.ANAL.APPL. VOL75 PP417-438 [1980]

[ 445 ]

KELLER.H.B.
ISCLAS AND PERTURBED BIFURCATION THEORY
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS IN ENGINEERING AND
APPLIED SCIENCE ED. R.L.STERNBERG, A.J.KALINOWSKY, J.S.PAPADAKIS
[1980] PP45-52 MARCEL DEKKER INC. NEW YORK,BASEL
KELLER,H.B.; DECKER,DWIGHT W.

SEE ALSO [233]

SOLUTION BRANCHING-A CONSTRUCTIVE TECHNIQUE

PREPRINT

KELLER,J.B.; REISS,E.L.; KELLER,H.B.

SEE ALSO [435]

BUCKLED STATES OF CIRCULAR PLATES

QUART.APPL.MATH. VCL20 NO1 [1962] PP55-65

KERNEVEZ,J.P.; JCLY.G.; DUBAN,M.C.; BUNCH,B.; THOMAS,D.

SEE ALSO [129]

MORPHOGENESE DANS UN SYSTEME DE DIFFUSION-REACTION

J.PHYSIQUE CCLCCUE C5 SUPPL. NO 8 VCL 39 [1978] PP1-2

KERNEVEZ,J.P.; JCLY.G.; DUBAN,M.C.; BUNCH,B.; THOMAS,D.

SEE ALSO [130]

HYSTERESIS.CSCILLATIONS.AND PATTERN FORMATION IN REALISTIC

IMMCBILIZED ENZYME SYSTEMS

J.MATH.BICL. VCL7 PP41-56 [1979]

[446]

KERNEVEZ,J.P.

MATHEMATICAL ANALYSIS OF ARTIFICIAL ENZYMATICALLY ACTIVE MEMBRANES

TECHNICAL REPORT LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS BROWN

U.PROVIDEENCE [1979] 99PP.

KERNEVEZ,J.P.; BLNCH,B.

SEE ALSO [131]

NUMERICAL EXPLCRATION OF BIFLRCATING BRANCHES OF SOLUTIONS TO

REACTION-DIFFUSION EQUATIONS DESCRIBING THE KINETICS OF

IMMCBILIZED ENZYMES

NUMERICAL METHODS FOR ENGINEERING VEYSSEYRE,H.(ED.) DUNOD PARIS

[1980]

KERNEVEZ,J.P.; JCLY.G.; THOMAS,D.

SEE ALSO [396]

PATTERN FORMATION BY REACTION-DIFFUSION INSTABILITIES:APPLICATION

TO KAUFFMAN'S MODEL FOR MORPHOGENESIS IN DROSOPHILA

PREPRINT

KEYFITZ,BARBARA L.; GCLUBITSKY,MARTIN

SEE ALSO [2951]

A QUALITATIVE STUDY OF THE STEADY STATE SOLUTIONS FOR A CONTINUOUS

FLCH STIRRED TANK CHEMICAL REACTOR

SIAM J.MATH.ANAL. VCL11 NO2 [1980] PP316-344

KEYFITZ,BARBARA L.; GCLUBITSKY,MARTIN; SCHAEFFER,DAVID

SEE ALSO [2967]

A SINGULARITY THEORY ANALYSIS OF THE THERMAL CHAINBRANCHING MODEL

FOR THE EXPLOSION PENINSULA

COMM.PURE APPL.MATH.(SUBMITTED)
[ 447 ]

KHARLAMOV, M. P.; FCGOSIAN, T. I.

BIFURCATION SET AND INTEGRAL MANIFOLDS OF THE PROBLEM CONCERNING
THE MOTION OF A RIGID BODY IN A LINEAR FORCE FIELD

PMV VOL43 NC 3 [1979] PP429-428 (ENGLISH TRANSL. PP452-462 1980)

[ 448 ]

KIELHOFER, HANSJCRG; KIRCHGASSNER, KLALS

STABILITY AND BIFURCATION IN FLUID DYNAMICS

ROCKY MOUNTAIN J. MATH. VCL3 [1973] PP275-318 MR47#8001

[ 449 ]

KIELHOFER, HANSJCRG

HOFF BIFURCATION AT MULTIPLE EIGENVALUES

ARCH. RATIONAL MECH. ANAL. VOL69 [1979] PP53-83

[ 450 ]

KIELHOFER, HANSJCRG

BIFURCATION OF PERIODIC SOLUTIONS FOR A SEMILINEAR WAVE EQUATION

J. MATH. ANAL. APPL. VOL68 PP408-420 [1979]

[ 451 ]

KIELHOFER, HANSJCRG

CORRIGENDA: HCF PERIODIC BIFURCATION AT MULTIPLE EIGENVALUES

ARCH. RATIONAL MECH. ANAL. VOL74 NO 4 PP395-396 [1980]

[ 452 ]

KIELHOFER, HANSJCRG

DEGENERATE BIFURCATION AT SIMPLE EIGENVALUES AND STABILITY OF

BIFURCATING SOLUTIONS

J. FUNCTIONAL ANALYSIS VOL38 PP416-441 [1980]

[ 453 ]

KIELHOFER, HANSJCRG

FLCGLET EXPONENTS OF BIFURCATING PERIODIC ORBITS

PREPRINT

[ 454 ]

KIELHOFER, HANSJCRG

A BUNCH OF STATIONARY OR PERIODIC SOLUTIONS NEAR AN EQUILIBRILM BY

SLOW EXCHANGE OF STABILITY

PREPRINT

[ 455 ]

KIRCHGASSNER, KLALS; SCROGER, P.

BRANCHING ANALYSIS FOR THE TAYLOR PROBLEM

QUART. J. MECH. APPL. MATH. VOL22 PT.2 [1979] PP183-209

[ 456 ]

KIRCHGASSNER, KLALS

MULTIPLE EIGENVALUE BIFURCATION FOR HOCMORPHIC MAPPINGS

CONTRIBUTIONS TO NONLINEAR FUNCTIONAL ANALYSIS

(PRCC. SYMPOS. MATH. RES. CENTER UNIV. WISCONSIN, MADISON, WIS. (1971))

PP69-99 ACADEMIC PRESS [1971] MR53#3814

KIRCHGASSNER, KLALS; KIELHOFER, HANSJORG

SEE ALSO [ 448 ]

STABILITY AND BIFURCATION IN FLUID DYNAMICS
ROCKY MOUNTAIN J.MATH VCL3 [1973] PP275-318 MR47#8001

[ 457 ]

KIRCHGASSNER, KLALS; SCHEURLE, JLRGEN

VERZEIGUNG UND STABILITAT VCN LOSUNGEN SEMILINEARER ELLIPTISCHER

RANDBERTPROBLEME

JBER.DEUTSCH.MATH.-VEREIN. VCL77 H.1 [1975] PP39-54

[ 458 ]

KIRCHGASSNER, KLALS

BIFURCATION IN NONLINEAR HYDRODYNAMIC STABILITY

SIAM REV. VCL17 [1975] NC4 PP652-683 MR52#974

[ 459 ]

KIRCHGASSNER, KLALS; SCRGER, P.

STABILITY ANALYSIS OF BRANCHING SOLUTIONS OF THE NAVIER-STOKES

EQUATIONS

APPLIED MECHANICS (PROC, TWELFTH INTERNAT, CONGR, APPL, MATH, STANDFCRD

UNIV. # # KIRCHGASSNER, KLAUS

[ 460 ]

KIRCHGASSNER, KLALS; SCHEURLE, JLRGEN

BIFURCATION

DYNAMICAL SYSTEMS VCL1 ACADEMIC PRESS [1976] PP115-129

[ 461 ]

KIRCHGASSNER, KLALS

PREFERENCE IN PATTERN AND CELLULAR BIFURCATION IN FLUID DYNAMICS

APPLICATIONS OF BIFURCATION THEORY PP149-174 [1977] ACADEMIC PRESS

INC. NEW YORK

[ 462 ]

KIRCHGASSNER, KLALS; SCHEURLE, JLRGEN

ON THE BOUNDED SOLUTIONS OF A SEMILINEAR ELLIPTIC EQUATION IN A

STRIP

PREPRINT

[ 463 ]

KNIGHTLY, GEORGE H.; SATHER, DUANE P.

ON NONUNICLONESS OF SOLUTIONS OF THE VCN KARMAN EQUATIONS

ARCH. RATIONAL MECH. ANAL. VOL36 [1970] CP65-78 MR41#6446

[ 464 ]

KNIGHTLY, GEORGE H.; SATHER, DUANE P.

NONLINEAR BUCKLED STATES OF RECTANGULAR PLATES

ARCH. RATIONAL MECH. ANAL. VCL54 [1974] PP356-372 MR50#1600

[ 465 ]

KNIGHTLY, GEORGE H.; SATHER, DUANE P.

NONLINEAR AXISYMMETRIC BUCKLED STATES OF SHALLOW SPHERICAL CAPS

SIAM J. MATH. ANAL. VCL6 [1975] NO 6 PP913-924 MR52#2351

[ 466 ]

KNIGHTLY, GEORGE H.; SATHER, DUANE P.

EXISTENCE AND STABILITY OF AXISYMMETRIC BUCKLED STATES OF

SPHERICAL SHELLS

ARCH. RATIONAL MECH. ANAL. VOL63 [1976/77] NO 4 PP305-319 MR55#9672
[ 467 ]

KCLODNER, IGNACE I.

HEAVY ROTATING STRING-A NONLINEAR EIGENVALUE PROBLEM

COMM. PURE APPL. MATH. VOL. 8 PP. 395-408 [1955] MR17#154

KCPELL, NANCY; HOWARD, L. N.

SEE ALSO [ 362 ]

PLANE WAVE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS

STUDIES IN APPL. MATH. VOL. 52 PP. 291-328 [1973]

KCPELL, NANCY; HOWARD, L. N.

SEE ALSO [ 363 ]

BIFURCATIONS UNDER NONGENERIC CONDITIONS

ADVANCES IN MATH. VOL. 13 NO. 3 [1974] PP. 274-283 MR49#10979

KCPELL, NANCY; HOWARD, L. N.

SEE ALSO [ 365 ]

BIFURCATIONS AND TRAJECTORIES JOINING CRITICAL POINTS

ADVANCES IN MATH. VOL. 18 NO. 3 [1975] PP. 306-358 MR53#938 + ERRATUM

KCPELL, NANCY; HOWARD, L. N.

SEE ALSO [ 366 ]

SLOWLY VARYING WAVES AND SHOCK STRUCTURES IN REACTION-DIFFUSION

EQUATIONS

STUDIES IN APPL. MATH. VOL. 56 PP. 95-145 [1977]

[ 468 ]

KCLNADIS, ANTHONY N.

BUCKLING AND POSTBUCKLING OF A SYMMETRICALLY LOADED THREE-HINGED

PORTAL FRAME

J. STRUCT. MECH. VOL. 8 NO. 4 PP. 243-454 [1980]

[ 469 ]

KCZAK, JOHN J. J.

PHASE TRANSITION AS A PROBLEM IN BIFURCATION THEORY

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACADEMY OF SCI. VOL. 316 [1979] PP. 417-432

[ 470 ]

KRIEGSMANN, GREGORY A.; REISS, E. L.

NEW MAGNETOHYDRODYNAMIC EQUILIBRIA BY SECONDARY BIFURCATION

PHYS. FLUIDS VOL. 21 [1978] NC.2 PP. 258-264 MR56#17503

[ 471 ]

KRIEGSMANN, GREGORY A.; LANGE, CHARLES G.

THE AXISymmetric BRANCHING BEhAVIOr OF COMPlEte SPHERICAL SHELLS

GLART, APPL. MATH. (SUBMITTED)

[ 472 ]

KLBICEK, MILAN

ALGORITHM FOR EVALUATION OF COMPLEX BIFURCATION POINTS IN ORDINARY

DIFFERENTIAL EQUATIONS

SIAM J. APPL. MATH. VOL. 39 NO. 1 [1980] PP. 103-107
[ 473 ]

KLIPER.H.J.
ON POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
REND.CIRC.MATH.PALERNO (2) VCL20 [19711] PP113-138 1972 MR48#6680

[ 474 ]

KLIPER.H.J.
EIGENVALUE PROBLEMS FOR NONCONTINUOUS OPERATORS ASSOCIATED WITH
QUASI-LINEAR ELLIPTIC EQUATIONS
ARCH.RATIONAL MECH.ANAL. VCL53 [1974] PP178-186 MR49#11047

[ 475 ]

KLIPER.H.J.; TLRNER.R.E.L.
STLRN-LICUVILLE PROBLEMS WITH PRESCRIBED NONLINEARITIES
QUART.J.MATH.CXFCRD SER. VOL26 NO104 [1975] PP491-505 MR53#5981

KLIPER.H.J.; CERRICK.W.R.
SEE ALSO [ 236 ]
NONLINEAR CRDINARY AND FUNCTIONAL STLRN-LIOUVILLE PROBLEMS
INDIANA LNIV.MATH.J. VOL25[1976] NC2 PP179-190 MR52#15150

[ 476 ]

KLIPPER.TASSILC
A SINGULAR BIFURCATION PROBLEM
J.MATH.ANAL.APPL. VOL60 [1977] NO1 PP292-300 MR56#8949

[ 477 ]

KLIPPER.TASSILC; NCLITCR.ANTON
NONLINEAR VIBRATIONS OF SIMPLY SUPPORTED BEAMS
NONLINEAR ANAL.THEORY.METHODS AND APPL. VOL2 NO 4 [1978]

[ 478 ]

KLIPPER.TASSILC
THE LOWEST POINT OF THE CONTINUOUS SPECTRUM AS A BIFURCATION POINT
PREPRINT [1978]

[ 479 ]

KLIPPER.TASSILC; RIEMER.DIETER
NECESSARY AND SLFFICIENT CONDITIONS FOR BIFURCATION FROM THE
CONTINUOUS SPECTRUM
NONLINEAR ANAL. VOL3 [1979] PP555-561

[ 480 ]

LAETSCH.THEODORE
A NOTE ON A PAPER OF KELLER AND DOCHEN
J.MATH.MECH. VOL18 [1968/69] PP1095-1100 MR40#1716

[ 481 ]

LAETSCH.THEODORE
EXISTENCE AND BOUNDS FOR MULTIPLE SOLUTIONS OF NONLINEAR EQUATIONS
SIAM J.APPL.MATH. VOL18 [1970] PP389-400 MR41#7199

[ 482 ]

LAETSCH.THEODORE
THE NUMBER OF SOLUTIONS OF A NONLINEAR TWO POINT BOUNDARY VALUE
PROBLEM
INDIANA LNIV.MATH.J. VOL20 [1970/71] PP1-13 MR42#4815
[ 483 ]

LAETSCH, THEODORE

ON THE NUMBER OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS WITH CONVEX NONLINEARITIES
J. MATH. ANAL. APPL. VOL 35 [1971] PP 389-404 MR43#6588

[ 484 ]

LAETSCH, THEODORE

CRITICAL SOLUTIONS OF AUTONOMOUS NONLINEAR BOUNDARY VALUE PROBLEMS
INDIANA UNIV. MATH. J. VOL 24 [1974/75] PP 651-658 MR51#3603

[ 485 ]

LAETSCH, THEODORE

NONLINEAR EIGENVALUE PROBLEMS WITH MONTONICALLY COMPACT OPERATORS
EQUATIONS MATH. VOL 13 [1975] NO 1/2 PP 61-76 MR53#6372

[ 486 ]

LAETSCH, THEODORE

NONLINEAR EIGENVALUE PROBLEMS WITH POSITIVELY CONVEX OPERATORS
J. MATH. ANAL. APPL. VOL 51 [1975] NO 3 PP 53-659 MR54#13650

[ 487 ]

LAETSCH, THEODORE

ASYMPTOTIC BRANCH POINTS AND MULTIPLE POSITIVE SOLUTIONS OF
NONLINEAR OPERATOR EQUATIONS
SIAN J. MATH. ANAL. VOL 6 [1975] PP 168-177 MR52#4051

[ 488 ]

LAETSCH, THEODORE

ASYMPTOTIC BRANCH POINTS AND MULTIPLE POSITIVE SOLUTIONS OF
NONLINEAR INTEGRAL EQUATIONS
SIAN J. MATH. ANAL. VOL 6 [1975] PP 178-191 MR52#4052

LAETSCH, THEODORE; AMANN, HERBERT

SEE ALSO [ 12 ]
POSITIVE SOLUTIONS OF CONVEX NONLINEAR EIGENVALUE PROBLEMS
INDIANA UNIV. MATH. J. VOL 25 [1976] NO 3 PP 259-270 MR54#5620

[ 489 ]

LALOLX, BENCATT

INDICES DE CCINCIDENCE ET BIFURCATIONS. I.
SEMINAIRES DE MATHEMATIQUE APPLIQUEE ET MECANIQUE RAPPORT NO 60
INSTITUT DE MATHEMATIQUE PURE ET APPLIQUEE. UNIVERSITE CATHOLIQUE
DE LCUVAIN, LCUVAIN-LA-NEUVE [1972] 12PP MR52#15151

[ 490 ]

LALOLX, BENCATT

INDICE DE CCINCIDENCE ET BIFURCATIONS
EQUATIONS DIFF. ET FUNCTIONNELLES NON LINEAIRES (ACTES
CONF. INTERNAT. "ECUA-DIFF73" BRUSSELS/LCUVAIN-LA-NEUVE, 1973)
PP 109-121 HERMANN PARIS [1973] MR57#10527 78L267#34056

[ 491 ]

LALOLX, BENCATT

INDICE DE CCINCIDENCE ET BIFURCATIONS
THESE UNIVERSITE CATHOLIQUE DE LCUVAIN [1974] 123PP
[ 492 ]

LALOLX.BENCIT; MAWHIN.JEAN
L'INDICE DE CCINCIDENCE ET SES PROPRIETES
PROCEEDINGS OF THE CONFERENCE ON DIFF.EQU.AND THEIR
APPLICATIONS(LNIV. IASI.IASI,1973) PP17-73 EDITURA ACAD.R.S.R.,
BUCHAREST.1977 MR57#7281

[ 493 ]

LALOLX.BENCIT; MAWHIN.JEAN
COINCIDENCE INDEX AND MULTIPLICITY
TRANS.AMER.MATH.SOC. VOL217 [1976] PP143-162 MR54#11119

[ 494 ]

LALOLX.BENCIT
PERIODIC SOLUTIONS OF SOME ALTONOMOUS ORDINARY DIFFERENTIAL
EQUATIONS
ANN.SOC.SCIENT.BRLXELLES SER.I VOL91 [1977] NO2 PP62-68 MR56#16064

[ 495 ]

LALOLX.BENCIT; MAWHIN.JEAN
MULTIPLICITY.LERAY-SCHAUDER FORMULA.AND BIFURCATION
J.DIFFERENTIAL EQUATIONS VOL24 NO 3 [1977] PP309-322 MR56#1154

[ 496 ]

LALOLX.BENCIT
MULTIPLICITY AND BIFURCATION OF PERIODIC SOLUTIONS IN ORDINARY
DIFFERENTIAL EQUATIONS
SEMINAIRES DE MATHEMATIQUE APPLIQUEE ET MECHANIQUE RAPPORT NO 100
INSTITUT DE MATHEMATIQUE PURE ET APPLIQUEE.UNIVERSITE CATHOLIQUE
DE LCUVAIN.LCUVAIN-LA-NEUVE [1977] 15PP

[ 497 ]

LANDALER.RCLF
THE ROLE OF FLUCTUATIONS IN MULTISTABLE SYSTEMS AND IN THE
TRANSITION TO MULTISTABILITY
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP433-452

[ 498 ]

LANDMAN.KERRY ANN; ROSENBLAT.S.
STABILITY OF SOLUTIONS BIFURCATING FROM A MULTIPLE EIGENVALUE
APPLICABLE ANAL. VOL7 [1977/78] NO 2 PD153-157 MR57#7282

[ 499 ]

LANDMAN.KERRY ANN
BIFURCATION AND STABILITY OF PERIODIC SOLUTIONS
RESEARCH REPORT NO 11 [1978] UNIVERSITY OF MELBOURNE 67PP

[ 500 ]

LANDMAN.KERRY ANN; ROSENBLAT.S.
BIFURCATION FROM A MULTIPLE EIGENVALUE AND STABILITY OF SOLUTIONS
SIAM J.APPL.MATH. VOL34 [1978] NO 4 PP747-759 MR57#17421

[ 501 ]

LANFCRD,OSCAR E. III
BIFURCATION OF PERIODIC SOLUTIONS INTO INVARIANT TORI: THE WORK OF
RLELLE AND TAKENS
LECTURE NOTES IN MATH. VCL322 PP159-192 NONLINEAR PROBLEMS IN THE PHYSICAL SCIENCES AND BIOLOGY [1973] SPRINGER BERLIN

[502]

LANGE, CHARLES G.
BRANCHING FROM LARGE EIGENVALUES OF NONLINEAR STURM-LIOUVILLE SYSTEMS
SIAM J. APPL. MATH. VCL40 NO 1 [1980] P52-70

[503]

LANGE, CHARLES G.
BRANCHING FROM CLOSELY SPACED EIGENVALUES WITH APPLICATION TO A MODEL BICHEMICAL REACTION
SIAM J. APPL. MATH. VCL40 NO 1 [1980] PP35-51

LANGE, CHARLES G.; KRIEGSMANN, GREGORY A.
SEE ALSO [471]
THE AXISYMMETRIC BRANCHING BEHAVIOR OF COMPLETE SPHERICAL SHELLS
QUART. APPL. MATH. (SUBMITTED)

[504]

LANGFCRD, W.F.
LECTURES ON BIFURCATION THEORY
SEMINAR IN APPLIED ANAL. MC GILL [1971]

LANGFCRD, W.F.; KELLER, H.B.
SEE ALSO [440]
ITERATIONS, PERTURBATIONS AND MULTIPLICITIES FOR NONLINEAR BIFURCATIONS PROBLEMS
ARCH. RATIONAL MECH. ANAL. VOL48 NO2 [1972] PP83-108 MR49#1252

[505]

LANGFCRD, W.F.
NUMERICAL SOLUTION OF BIFURCATION PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS
NUMER. MATH. VCL28 [1977] PP171-190

[506]

LANGFCRD, W.F.
A SHOOTING ALGORITHM FOR THE BEST LEAST SQUARES SOLUTION OF TWO-POINT BOUNDARY VALUE PROBLEMS
SIAM J. NUMER. ANAL. VCL14 NO3 [1977] PP527-542 MR55#9548

[507]

LANGFCRD, W.F.
THE GENERALIZED INVERSE OF AN UNBOUNDED LINEAR OPERATOR WITH UNBOUNDED CONSTRAINTS
SIAM J. MATH. ANAL. VCL9 NO6 [1978] PP1083-1095

[508]

LANGFCRD, W.F.
PERIODIC AND STEADY STATE MODE INTERACTIONS LEAD TO TORI
SIAM J. APPL. MATH. VCL37 NO1 FP22-48 [1979]

LANGFCRD, W.F.; ICCSS, GERARD
SEE ALSO [392]
INTERACTIONS OF HOFF AND PITCHFORK BIFURCATIONS
BIFURCATION PROBLEMS AND THEIR NUMERICAL SOLUTION EDITED BY
H.D.MITTELMANN AND H.WEBER ISNMS4 BIRKAUSER VERLAG BASEL [1980]
PP103-134

LANGFORD.W.F.; ARNEODO.A.; CULLET.PIERRE; TRESSER.CHARLES;
CCSTE.JEAN

SEE ALSO L 39]

A MECHANISM FOR A SOFT MODE INSTABILITY

PHYS.LETT.A. VCL78 NC 1 [1980] PP11-14

LANGFORD.W.F.; GCLLBITSKY,MARTIN

SEE ALSO [ 298]

CLASSIFICATION AND UNFOLDINGS OF DEGENERATE HOPF BIFURCATIONS

SUBMITTED TO J.DIFF.EQI.

LEUNG,ANTHONY; CLARK,DAVID

SEE ALSO [ 167]

BIFURCATIONS AND LARGE-TIME ASYMPTOTIC BEHAVIOR FOR PREY-PREDATOR

REACTION-DIFFUSION WITH DIRICHLET BOUNDARY DATA

J.DIFFERENTIAL EQUATIONS VCL35 [1980] PP113-127

[ 509]

LEUNG,ANTHONY

EQLIBRIA AND STABILITIES FOR COMPETING-SPECIES

REACTION-DIFFUSION EQUATIONS WITH DIRICHLET BOUNDARY DATA

J.MATH.AnAL.APPL. VCL73 NO 1 [1980] PP204-218

[ 510]

LEV AVSHALOM

BRANCHING OF SOLUTIONS OF EQUATIONS INVOLVING MAPPINGS POSSESSING

NULL LINEAR APPROXIMATIONS AND RELATED RESULTS

ROCKY MOUNTAIN J.MATH. VCL10 NC 3 [1980] PP605-628

[ 511]

LEVI,NARK

QUALITATIVE ANALYSIS OF THE PERIODICALLY FORCED RELAXATION

OSCILLATIONS

PH.D.THESIS NEW YORK UNIVERSITY [1978] DECEMBER 262PP

[ 512]

LIBCHABER,A.; MALRER,J.

RAYLEIGH-BENARD EXPERIMENT IN LIQUID HELIUM; FREQUENCY LOCKING AND
THE CNSET OF TURBULENCE

J.PHYSIQLE LETTRES VCL40 [1979] P419-423

[ 513]

LIBCHABER,A.; MALRER,J.

UNE EXPERIENCE DE RAYLEIGH-BENARD DE GECMETRIE

RECLITE; MULTIPLICATION, ACCRUCHAGE ET DEMULTIPLICATION DE
FREQUENCES

J.PHYSIQLE CCLLCQUE C3 SUPPL. AU NC 4 VCL41 [1980] PP51-56

[ 514]

LIBCHABER,A.; MALRER,J.

EFFECT OF THE FRANDTL NUMBER ON THE CNSET OF TURBULENCE IN LIQUID
4HE

J.PHYSIQLE LETTRES VCL41 [1980] PP515-518
[ 515 ]

LIN, K. C.; THOMPSON, JOHN M. T.; TAN, J. K. Y.

ON THE TOPGLOGICAL CLASSIFICATION OF POST-BUCKLING PHENOMENA

J. OF STRUCTURAL MECH. (TC APPEAR)

LIN, Y. K.; HOLMES, PHILIP J.

SEE ALSO [ 349 ]

DETERMINISTIC STABILITY ANALYSIS OF A WIND LOADED STRUCTURE

J. APPL. MECH. VCL45 [1978] PP165-169

[ 516 ]

LIST, STEPHEN E.

GENERIC BIFURCATION WITH APPLICATION TO THE VON KARMAN EQUATIONS

J. DIFFERENTIAL EQUATIONS VCL30 [1978] EP89-118

LIL, TAI-PING; ANTMAN, STUART S.

SEE ALSO [ 32 ]

TRAVELLING WAVES IN HYPERELASTIC RODS

QUART. APPL. MATH. [1979] PP377-399

[ 517 ]

LILD, W. S.

VERZWEIGLUNG PERIODISCHER LOSLNGEN GEWISSER NICHTLINEARER

DIFFERENTIALGLEICHLNGEN

Z. ANGEW. MATH. MECH. BAND45 [1965] PP54-55

[ 518 ]

LILD, W. S.

BRANCHING PHENOMENA FOR PERIODIC SOLUTIONS OF NON-AUTONOMOUS

PIECEWISE LINEAR SYSTEMS

INTERNAT. J. NON-LINEAR MECH. VOL3 [1968] PP273-293

[ 519 ]

LILD, W. S.

NONSYMMETRIC PERIODIC SOLUTIONS OF CERTAIN SECOND ORDER NONLINEAR

DIFFERENTIAL EQUATIONS

J. DIFFERENTIAL EQUATIONS VCL5 NO 2 [1969] PP352-368

[ 520 ]

LILD, W. S.

SUBHARMONIC SOLUTIONS OF SECOND ORDER EQUATIONS ARISING NEAR

HARMONIC SOLUTIONS

J. DIFFERENTIAL EQUATIONS VOL11 NO 3 [1972] PP628-660

[ 521 ]

LILD, W. S.

BRANCHING OF SOLUTIONS OF THE PARAMETER BOUNDARY-VALUE PROBLEMS

FOR SECOND ORDER DIFFERENTIAL EQUATIONS

ING.-ARCH. VCL45 [1976] PP347-359

[ 522 ]

LILD, W. S.

BRANCHING OF BOUNDARY-VALUE PROBLEMS FOR SECOND ORDER EQUATIONS

VII. INTERNATIONAL CONFERENCE ON VIBRATIONAL AND CRYOGENETIC STUDY OF BANDS
PP27-34 AKADEMIE-VERLAG BERLIN [1977]

[523]

LCUD.W. S.

BRANCHING PHENOMENA FOR BOUNDARY-VALLE PROBLEMS

PROCEEDINGS VIII TH. INTERNAT.CCNF. NONLINEAR OSCILLATIONS PRAGUE

[1978] PP435-440

[524]

LCUD.W. S.

A BIFURCATION APPLICATION OF THE GENERALIZED INVERSE OF A LINEAR
DIFFERENTIAL OPERATOR

SIAM J.MATH.ANAL. VOL11 NO 3 [1980] PP545-558

[525]

LCUD.W. S.

BOUNDARY VALLE PROBLEMS WITH FAMILIES OF SOLUTIONS

PREPRINT

[526]

LCZI,RENE

A COMPLTING METHOD FOR BIFURCATION BOUGHS OF NONLINEAR EIGENVALUE
PROBLEMS

BULL.AMER.MATH.SCC. VOL81 [1975] NO 6 PP1127-1129 MR52#1442

[527]

LCZI,RENE

ANALYSE NUMERIQUE DE CERTAINS PROBLEMES DE BIFURCATION

THESE ZEME CYCLE NICE [1975] 92PP

LCZI,RENE; ICCSS.GERARD

SEE ALSO [388]

CONVECTION ENTRE DEUX PLAQUES PLANES EN ROTATION ET EFFET DYNAMO

RESUUIT D'UNE BIFURCATION SECONDAIRE

J.MECANIQUE VOL14 NO5 [1977] PP675-703

LLANDGREN,T.S.; JCSEPH,DANIEL C.

SEE ALSO [409]

GLASILINEAR DIRICHLET PROBLEMS DRIVEN BY POSITIVE SOURCES

ARCH.RATIONAL MECH.ANAL. VOL49 NO4 [1973] PP241-269

[528]

MAC BAIN,JOHN ALAN

GLOBAL BIFURCATION THEOREMS FOR NONLINEAR FACT OPERATORS

BULL.AMER.MATH.SCC. VOL80 [1974] PP1005-1009 MR50#14403

[529]

MAC BAIN,JOHN ALAN

GLOBAL BIFURCATION THEOREMS FOR NONLINEARLY PERTURBED OPERATOR
EQUATIONS

BULL.AMER.MATH.SCC. VOL82 [1976] NO4 PP584-586 MR55#1170

[530]

MAC BAIN,JOHN ALAN

LOCAL AND GLOBAL BIFURCATION FROM NORMAL EIGENVALUES

PACIFIC J.MATH. VOL63 [1976] NO2 PP445-466 MR54#3528
[531]

MAC BAIN, JOHN ALAN
LOCAL AND GLOBAL BIFURCATION FROM NORMAL EIGENVALUES
SIAN NATIONAL MEETING [1980]

[532]

MAC BAIN, JOHN ALLAN
LOCAL AND GLOBAL BIFURCATION FROM NORMAL EIGENVALUES II
PACIFIC J.MATH. VOL74 NO 1 [1978] PP147-152

MACKEY, MICHAEL C.; GLASS, LECN

SEE ALSO [282]

PATHOLOGICAL CONDITIONS RESULTING FROM INSTABILITIES IN
PHYSIOLOGICAL CONTROL SYSTEMS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP214-235

[533]

NACKI, JACK W.; WALTERMAN, PAUL
A NONLINEAR BOUNDARY VALUE PROBLEM OF STLRM-LICUVILLE TYPE FOR A
TWO-DIMENSIONAL SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS
SIAN J.APL.NATH. VOL21 [1971] PP225-231 MR46#2142

[534]

NACKI, JACK W.; WALTERMAN, PAUL
A NONLINEAR STLRM-LICUVILLE PROBLEM
INDIANA UNIV.NATH.J. VOL22 [1972/73] PP217-225 MR46#3906

[535]

NACKI, JACK W.; WALTERMAN, PAUL
A BOUNDARY VALUE PROBLEM FOR A TWO-DIMENSIONAL SYSTEM WITH A
PARAMETER
SIAN J.APL.NATH. VOL6 [1975] PP91-95 MR51#988

[536]

NAHAR, T.J.; MATKOWSKY, BERNARD J.
A MODEL BICHEMICAL REACTION EXHIBITING SECONDARY BIFURCATION
SIAN J.APL.NATH. VOL37 NO2 [1977] PP364-404 MR55#7459

MALLET-PARET, JOHN; CHOW, SHUI-NEE; HALE, JACK K.

SEE ALSO [158]

APPLICATIONS OF GENERIC BIFURCATION I

ARCH.RATIONAL MECH.ANAL. VOL59 NO2 [1975] PP159-188 MR52#11675

MALLET-PARET, JOHN; CHOW, SHUI-NEE; HALE, JACK K.

SEE ALSO [159]

APPLICATIONS OF GENERIC BIFURCATION II

ARCH.RATIONAL MECH.ANAL. VOL62 NO3 [1976] PP209-235 MR54#3753

MALLET-PARET, JOHN; CHOW, SHUI-NEE

SEE ALSO [160]

APPLICATIONS OF GENERIC BIFURCATION

LECTURE NOTES IN PURE AND APPL.MATH. NONLINEAR FUNCTIONAL ANALYSIS
AND DIFFERENTIAL EQUATIONS (PROC.CCONF., NICH.STATE UNIV., EAST

LANSING, NICH. 1975) PP199-207 VOL19 MARCEL DEKKER, NEW YORK [1976]
MR58#7693

VALLET-PARET,JOHN; CHOW,SHUI-NEE
SEE ALSO [ 1611]
INTEGRAL AVERAGING AND BIFURCATION
J.DIFFERENTIAL EQUATIONS VOL26 NO1 [1977] PP112-159

[537]

VALLET-PARET,JOHN
BUCKLING OF CYLINDRICAL SHELLS WITH SMALL CURVATURE
QUART APPL MATH. PP383-400 [1977] VOL35 NO 3 MR57#18373

VALLET-PARET,JOHN; CHOW,SHUI-NEE
SEE ALSO [ 162]
THE FULLER INDEX AND GLOBAL HOPF BIFURCATION
J.DIFFERENTIAL EQUATIONS VOL29 NO1 [1978] PP66-85

VALLET-PARET,JOHN; CHOW,SHUI-NEE; HALE,JACK K.
SEE ALSO [ 163]
AN EXEMPLE OF BIFURCATION TO HOMOClinIC CRBITS
J.DIFFERENTIAL EQUATIONS VOL37 [1980] PP51-373

[538]

VALLET-PARET,JOHN
GENERIC BIFURCATION IN THE CBSTACLE PROBLEM
QUART APPL MATH. VOL37 NO 4 [1980] PP355-387

VALLET-PARET,JOHN; CHOW,SHUI-NEE; YCRKE,JAMES A.
SEE ALSO [ 164]
GLOBAL HOPF BIFURCATION FROM A MULTIPLE EIGENVALUE
PREPRINT

MANCINI,GICVANNI; AMBROSETTI,ANTONIO
SEE ALSO [ 22]
THE CREWS OF EXISTENCE AND MULTIPLICITY FOR NONLINEAR ELLIPTIC
PROBLEMS WITH NONINVERTIBLE LINEAR PART
ANN.SCUCLA NCRM.SUP.PISA CL.SCI. (4) VOL5 [1978] NO 1 PP15-28
MR58#6680

MANCINI,GICVANNI; AMBROSETTI,ANTONIO
SEE ALSO [ 24]
EXISTENCE AND MULTIPLICITY RESULTS FOR NONLINEAR ELLIPTIC PROBLEMS
WITH LINEAR PART AT RESONANCE. THE CASE OF THE SIMPLE EIGENVALUE
J.DIFFERENTIAL EQUATIONS VOL28 [1978] NO 2 PP220-245 MR58#11901

[539]

MARCHETTI,F.; NEGRINI,PIERO; SALVADORI,L.; SCALIA,M.
LIAPLNOV DIRECT METHOD IN APPROACHING BIFURCATION PROBLEMS
ANN.MAT.PURA APPL. (IV) VOL108 PP211-275 [1976]

[540]

MARINI,ANTONIO
SU UN PROBLEMA DI DIRAMAZIONE RIGuardANTE I MOTI CONVETTIVI IN UN
FLLIDO VISCO SCC
REND.SEM.MAT.UNIV.PADOVA VOL38 [1967] PP199-216 MR37#3811
[ 541 ]

MARINC.ANTONIC; PRCDI,GIOVANNI
LA TEORIA DI MORSE PER GLI SPAZI DI HILBERT (THE MORSE THEORY FOR
HILBERT'S SPACES)
REND.SEM.MAT.LNIV.FADOVA VOL41 [1968] PP43-68 MR41#2715

[ 542 ]

MARINC.ANTONIC
LA BIFURCAZIONE NEL CASC VARIAZIONALE (THE BIFURCATION IN THE
VARIATIONAL CASE)
CONFER.SEM.MAT.LNIV.BARI NO 132 [1973] 14PP MR50#1068

[ 543 ]

MARINC.ANTONIC
AUTOCVALORI IN NEL LINEARI IN PRESENZA DI PIÙ DI UNA NORMA (NONLINEAR
EIGENVALLES TOGETHER MORE THAN ONE)
BULL.UN.MAT.ITAL. (4) VOL10 [1974] PP429-443 MR51#1496

[ 544 ]

MARSCEN.JERKOLD E.
THE HOPF BIFURCATION FOR NONLINEAR SEMIGROUPS
BULL.AMER.MATH.SOC. VOL79 [1973] PP537-541 MR53#9297

[ 545 ]

MARSCEN.JERKOLD E.; MCCRACKEN,M.
THE HOPF BIFURCATION AND ITS APPLICATIONS
APPLIED MATHEMATICAL SCIENCES VOL19 40PP. SPRINGER-VERLAG NEW
YORK [1976]

MARSCEN.JERKOLD E.; HOLMES.PHILIP J.
SEE ALSO [3481]
BIFURCATIONS TO DIVERGENCE AND FLUTTER IN FLOW-INDUCED
OSCILLATIONS: AN INFINITE DIMENSIONAL ANALYSIS
AUTOMATICA VOL14 [1978] PP367-384

[ 546 ]

MARSCEN.JERKOLD E.
QUALITATIVE METHODS IN BIFURCATION THEORY
BULL.AMER.MATH.SOC. VOL84 NO 6 [1978] PP1125-1148

MARSCEN.JERKOLD E.; HOLMES.PHILIP J.
SEE ALSO [350]
BIFURCATIONS OF DYNAMICAL SYSTEMS AND NONLINEAR OSCILLATIONS IN
ENGINEERING SYSTEMS
LECTURE NOTES IN MATH. VOL648 [1978] PP163-206 SPRINGER, BERLIN

MARSCEN.JERKOLD E.; FISCHER.ARTHER E.
SEE ALSO [264]
SYMMETRY BREAKING IN GENERAL RELATIVITY
PREPRINT [1978]

MARSCEN.JERKOLD E.; HOLMES.PHILIP J.
SEE ALSO [352]
QUALITATIVE TECHNIQUES FOR BIFURCATION ANALYSIS OF COMPLEX SYSTEMS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP608-622
[547]

MARTIN,PAUL C.; MCLAUGHLIN,JOHN.
TRANSITION TO TURBULENCE IN A STATICALLY STRESSED FLUID SYSTEM
PHYS.REV.A. VOL12 NO 1 [1975] PP186-207

MARTINEZ-ANORES, P.; CANADA, A.
SEE ALSO [134]
BIFURCATION IN THE MATHieu EQUATION WITH THREE INDEPENDENT
PARAMETERS
QUART.APPL.NATH. VOL37 NO 4 [1980] PP431-441

[548]

MARZEC, C. J.; SPIEGEL, E. A.
ORDINARY DIFFERENTIAL EQUATIONS WITH STRANGE ATTRACTORS
SIAM J. APPL. NATH. VOL38 NO 3 [1980] PP403-421

[549]

MATKOWSKY, BERNARD J.
A SIMPLE NONLINEAR DYNAMIC STABILITY PROBLEM
BULL. AMER. NATH. SOC. VOL76 NO3 [1970] PP620-625 MR41#2194

[550]

MATKOWSKY, BERNARD J.; REISS, E. L.
NONLINEAR DYNAMIC BUCKLING OF A COMPRESSED ELASTIC COLUMN
QUART. APPL. NATH. VOL29 [1971] PP245-260 MR44#3557

[551]

MATKOWSKY, BERNARD J.; PUTNICK, LEONARD J.
MULTIPLE BUCKLED STATES OF RECTANGULAR PLATES
INTERNAT. J. ACN-LINEAR MECHANICS VOL9 [1974] PP89-103

MATKOWSKY, BERNARD J.; HABETLER, G. J.
SEE ALSO [328]
ON THE VALIDITY OF A NONLINEAR DYNAMIC STABILITY THEORY
ARCH. RATICNAL MECH. ANAL. VOL57 [1975] PP166-188 MR50#13849

MATKOWSKY, BERNARD J.; MAHAR, T. J.
SEE ALSO [536]
A MODEL BICHEMICAL REACTION EXHIBITING SECONDARY BIFURCATION
SIAM J. APPL. NATH. VOL32 NO2 [1977] PP364-404 MR55#7459

[552]

MATKOWSKY, BERNARD J.; REISS, E. L.
SINGULAR PERTURBATIONS OF BIFURCATIONS
SIAM J. APPL. NATH. VOL33 NO2 [1977] PP230-255

[553]

MATKOWSKY, BERNARD J.; REISS, E. L.; TAVANTZIS, JOHN
ON THE SMOOTH TRANSITION TO CONVECTION
SIAM J. APPL. NATH. VOL34 NO2 [1978] PP322-337

MATKOWSKY, BERNARD J.; KAPILA, A. K.; VEGA, J.
SEE ALSO [421]
REACTIVE-DIFFUSIVE SYSTEM WITH ARRHENIUS KINETICS: PECULIARITIES OF
THE SPHERICAL GEOMETRY
SIAM J. APPL. NATH. VOL38 NO 3 [1980] PP382-401
[554]

MATKOWSKY, BERNARD J.; PUTNICK, L. J.; SIVASHINSKY, G. I.
A NONLINEAR THEORY OF CELLULAR FLAMES
SIAN J. APPL. MATH. VCL38 NO 3 [1980] PP489-504

MALRER, J.; LIBCHABER, A.
SEE ALSO [512]
RAYLEIGH-BENARD EXPERIMENT IN LIQUID HELIUM; FREQUENCY LOCKING AND THE CNSET OF TURBULENCE
J. PHYSIQUE LETTRES VOL 40 [1979] P419-423

MALRER, J.; LIBCHABER, A.
SEE ALSO [513]
UNE EXPERIENCE DE RAYLEIGH-BENARD DE GÉOMETRIE
REDLITE; MULTIPLICATION, ACCRUCHAGE ET DEMULTIPLICATION DE FRECLENCES
J. PHYSIQUE CCLCCUE C3 SUPPL. AU NC 4 VOL41 [1980] PP51-56

MALRER, J.; LIBCHABER, A.
SEE ALSO [514]
EFFECT OF THE FRANDTL NUMBER ON THE CNSET OF TURBULENCE IN LIQUID 4HE
J. PHYSIQUE LETTRES VOL41 [1980] PP515-518

[555]

NAWHIN, JEAN
ECLIVALENCE THEOREMS FOR NONLINEAR OPERATOR EQUATIONS AND COINCIDENCE DEGRÉTHEORY FOR SOME MAPPINGS IN LOCALLY CONVEX TOPCLOGICAL VECTOR SPACES
J. DIFFERENTIAL EQUATIONS VOL12 [1972] PP610-636 MR48#7045

[556]

NAWHIN, JEAN
NONLINEAR PERTREATIONS OF FREDHOLM MAPPINGS IN NORMED SPACES AND APPLICATIONS TO DIFFERENTIAL EQUATIONS
TRABALHO DE MATEMÁTICA NO 61 [1974]

[557]

NAWHIN, JEAN
RECENT RESULTS IN COINCIDENCE THEORY FOR SOME MAPPINGS IN NORMED SPACES
PROCEEDINGS OF THE CONFERENCE ON PROBLEMS IN NONLINEAR FUNCTIONAL ANALYSIS (UNIV. BCNN, BONN, 1975) PP7-22 GESELLSCH.MATH.
DATENVERARBEITUNG, ST. AUGUSTIN (1975) MR54#1157

NAWHIN, JEAN; LALCX, BENOIT
SEE ALSO [492]
L'INDICE DE COINCIDENCE ET SES PROPRIÉTES
PROCEEDINGS OF THE CONFERENCE ON DIFF.EQ.I.A. AND THEIR APPLICATIONS (UNIV. IASI, IASI, 1973) PP17-33 EDITURA ACAD.R.S.R., BUCHAREST, 1977 MR57#7281

NAWHIN, JEAN; LALCX, BENOIT
SEE ALSO [493]
COINCIDENCE INDEX AND MULTIPLICITY
TRANS. AMER. MATH. SOC. VOL217 [1976] PP143-162 MR54#11119
NAWHIN, JEAN; LALCX, BENOIT

SEE ALSO [495]

MULTIPLICITY, LERAY-SCHAUDER FORMULA, AND BIFURCATION

J.DIFFERENTIAL EQUATIONS VOL24 NO 3 [1977] PP309-322 MR56#1154

[558]

MAY, ROBERT R.

BIFURCATIONS AND DYNAMIC COMPLEXITY IN ECOLOGICAL SYSTEMS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP517-529

MCCRACKEN, N.; MARSCEN, JERROLD E.

SEE ALSO [545]

THE HOPF BIFURCATION AND ITS APPLICATIONS

APPLIED MATHEMATICAL SCIENCES VOL19 40PP. SPRINGER-VERLAG NEW YORK [1976]

NCLALGHLIN, JOHN; MARTIN, PAUL C.

SEE ALSO [547]

TRANSITION TO TURBULENCE IN A STATICALLY STRESSED FLUID SYSTEM

PHYS. REV. A. VOL12 NO 1 [1975] PP186-207

[559]

NCLALGHLIN, JOHN

SUCCESSIVE BIFURCATIONS LEADING TO STOCHASTIC BEHAVIOR

J. STATIST. PHYS. VOL15 NO 4 [1976] PP307-326

MCLEOD, J. B.; BAZLEY, NORMAN W.

SEE ALSO § 66]

BIFURCATION FROM INFINITY AND SINGULAR EIGENVALUE PROBLEMS

PRCC.LONDON MATH.SCC. VOL34 [1977] (3 NO2 PP231-244 MR55#11117

[560]

MCLEOD, J. B.; SATTINGER, D. H.

GROUP REPRESENTATION THEORY, BIFURCATION THEORY AND PATTERN

FORMATION

J. FUNCTIONAL ANALYSIS VOL28 NO1 [1978] PP58-101

[561]

MEDVED, MILAN

GENERIC PROPERTIES OF PARAMETRIZED VECTORFIELDS I

CZECHOSLOVAK MATH. J. VOL25 (100) PRAHA PP376-388 [1975]

[562]

MEDVED, MILAN

GENERIC PROPERTIES OF PARAMETRIZED VECTORFIELDS II

CZECHOSLOVAK MATH. J. VOL26 (101) PRAHA PP71-83 [1976]

[563]

MEDVED, MILAN

GENERIC BIFURCATIONS OF SECOND ORDER ORDINARY DIFFERENTIAL

EQUATIONS ON DIFFERENTIABLE MANIFOLDS

MATH. SLOVACA VOL1 [1977] PP9-24
[ 564 ]

MEDVED.MILAN
GENERIC BIFURCATIONS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS NEAR CLOSED ORBITS
J.DIFFERENTIAL EQUATIONS VOL37 [1980] PP98-107

[ 565 ]

MEINHARDT.HANS
THE RANDOM CHARACTER OF BIFURCATIONS AND THE REPRODUCIBLE PROCESSES OF ENBRYONIC DEVELOPMENT
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP188-202

[ 566 ]

MELRANT.G.; SALT.JEAN-CLAUDE
BIFURCATION AND STABILITY IN A CHIMICAL SYSTEM
J.NATH.ANAL.APFL. VOL59 NO 1 [1977] PP49-92 MR57#2217

MICHAELIDIS.P.; CONTOPOULOS.GEORGE
SEE ALSO [ 181 ]
BIFURCATION OF TRIPLE PERIODIC ORBITS
CELESTIAL MECH. VOL22 [1980] PP403-413

[ 567 ]

MICHELETTI.A.; PACE.S.; ZIRILLI.F.
SOME RIGOROUS RESULTS ABOUT GINZBURG-LANDAU EQUATIONS
NUCVC CIMENTO B VOL29 NO1 [1975] PP87-99

[ 568 ]

MICHELETTI.A.; ZIRILLI,F.
AN APPROXIMATION METHOD OF THE FIRST EIGENVALUE IN NONLINEAR EIGENVALUE PROBLEMS
REND.ACCAD.NAZ.XL. VOL59 [1975] PP32-33

[ 569 ]

MICHELETTI.A.; ZIRILLI,F.
NON LINEAR STABILITY PROBLEMS FOR AN HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION
REND.ACCAD.NAZ.XL. VOL59 [1975] PP713-718

[ 570 ]

MICHELETTI.A.; ZIRILLI,F.
UNA APPLICAZIONE DELLA TEORIA DELLA CATEGORIA DI LIUSTERNIK-SCHNIRELMANN ALLE EQUAZIONI DI HARTREE-FOCK
REND.ACCAD.SCI.FIS.MAT.NAPOLI VOL42 [1976] PP518-529

[ 571 ]

MIEUSSENS.MICHEL
SUR LES CYCLES LIMITES DES SYSTEMES QUADRATIQUES
C.R.ACAD.SCI.PARIS SER.A-B VOL291 [1980] PP337-340

[ 572 ]

MIMURA.MASAYASL; NISHIURA.YASUMASA; YANAGUTI.MASAYA
SOME DIFFUSIVE PREY AND PREDATOR SYSTEMS AND THEIR BIFURCATION
PROBLEMS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP490-510

[573]

MIRA,CHRISTIAN; RUBELLAT,FRANCOIS

ETLCE D'UN CAS CRITIQUE POUR DES RECURRENCES DU DEUXIEME ORDRE
C.R.ACAD.SCI.PARIS SER.A VOL266 (1968) pp302-305

MIRA,CHRISTIAN; GUMOWSKI,IGOR

SEE ALSO [314]

SENSITIVITY PROBLEMS RELATED TO CERTAIN BIFURCATION IN NON-LINEAR RECURRENCE RELATIONS

AUTOMATICA J.IFAC VOL5 [1969] PP303-317 MR53#753

[574]

MIRA,CHRISTIAN

TRAVERSEE D'UN CAS CRITIQUE, POUR UNE RECURRENCE DU DEUXIEME ORDRE, SOUS L'EFFET D'UNE VARIATION DE PARAMETRE

C.R.ACAD.SCI.PARIS SER.A VOL268 [1969] pp621-624

[575]

MIRA,CHRISTIAN

ETLCE D'UN SECCND CAS D'EXCEPTION POUR UNE RECURRENCE, OU UNE TRANSFORMATION PONCTUELLE, ALTONOME DL DEIXIEME ORDRE, A VARIABLES REELLES

C.R.ACAD.SCI.PARIS SER.A VOL270 (1970) PP332-335

[576]

MIRA,CHRISTIAN

SUR LES COURBES INVARIANTES FERMEES DES RECURRENCES NON LINEAIRES VOISINES D'UNE RECURRENCE LINEAIRE CCNSERVATIVE DU 2EME ORDRE

COLLQUES INTERNAT. C.N.R.S. NC 229 TRANSFORMATIONS PONCTUELLES ET LELRS APPLICATIONS [1973] PP177-194

MIRA,CHRISTIAN; GUMOWSKI,IGOR

SEE ALSO [317]

BIFURCATION POUR UNE RECLRENCE DU DEUXIEME ORDRE. PAR TRAVERSEE D'UN CAS CRITIQUE AVEC DEUX MULTIPLICATEURS COMPLEXES CONJUGUES
C.R.ACAD.SCI.PARIS SER.A VOL278 [1974] pp1591-1593 MR50#805

MIRA,CHRISTIAN; GUMOWSKI,IGOR

SEE ALSO [318]

SUR LES RECLRENCES, DU TRANSFORMATIONS PONCTUELLES DU PREMIER ORDRE, AVEC INVERSE NON UNIGLE

C.R.ACAD.SCI.PARIS SER.A VOL280 (1975) pp905-908 MR51#10928

MIRA,CHRISTIAN; GUMOWSKI,IGOR

SEE ALSO [319]

ACCUMULATIONS DE BIFURCATIONS DANS UNE RECURRENCE

C.R.ACAD.SCI.PARIS SER.A VOL281 [1975] pp45-48 MR51#10929

[577]

MIRA,CHRISTIAN

STRUCTURES DE BIFURCATION "BCITES EMBCITEES" DANS LES RECURRENCES, DU TRANSFORMATIONS PONCTUELLES DU PREMIER ORDRE, DCNT

LA FONCTION PRESENTE UN SEUL EXTREMUM. APPLICATION A UN PROBLEME DE CHACS EN BICLCCIE

C.R.ACAD.SCI.PARIS SER.A VOL282 (1976) pp219-222 MR53#11253
[ 578 ]

MIRA, CHRISTIAN

ETLDE D'UN MODELE DE CROISSANCE D'UNE POPULATION BIOLOGIQUE EN
L'ABSENCE DE RECCUVREMENT DE GENERATIONS

C.R.ACAD.SCI.PARIS SER.A VOL282 [1976] PP1441-1444 MR55#10066

[ 579 ]

MIRA, CHRISTIAN

SUR LA DOUBLE INTERPRETATION DETERMINISTE ET STATISTIQUE DE
CERTAINES BIFURCATIONS COMPLEXES

C.R.ACAD.SCI.PARIS SER.A VOL283 [1976] PP911-914 MR55#1381

MIRA, CHRISTIAN; GWOWSKI, IGOR

SEE ALSO [ 320 ]

BIFURCATION DESTABILISANT UNE SOLUTION CHAOTIQUE D'UN
ENDCMORPHISME DU DELUXIEME ORDRE

C.R.ACAD.SCI.PARIS SER.A VOL286 [1978] PP427-430

[ 580 ]

MIRA, CHRISTIAN

SYSTEMES A DYNAMIQUE COMPLEXE ET BIFURCATIONS DE TYPE "BOITES
EMBOITEES" CAS DES RECURRENCES D'ORDRE 1 DETERMINEES PAR UNE
FONCTION A UN SELL EXTRENUM

R.A.I.R.C. ALTCNATICUE/SYSTEMS ANALYSIS AND CONTROL VOL12 NO 2
[1972] PF171-190

MIRA, CHRISTIAN; GWOWSKI, IGOR

SEE ALSO [ 321 ]

DYNAMIQUE CHAOTIQUE. TRANSFORMATIONS PCNCTUELLES TRANSITION
ORDRE-DESCRORDRE

CEPADUES EDITIONS 480PP [1980] TOULCLISE

MIRA, CHRISTIAN; GWOWSKI, IGOR

SEE ALSO [ 322 ]

RECURRENCES AND DISCRETE DYNAMIC SYSTEMS

LECTURE NOTES IN MATH. VOL809 SPRINGER-VERLAG,BERLIN [1980]
VI+272PP

NCLITCR,ANTON; KLPFER,TASSILO

SEE ALSO [ 477 ]

NONLINEAR VIBRATIONS OF SIMPLY SUPPORTED BEAMS

NONLINEAR ANAL.THEORY.METHODS AND APPL. VOL2 NO 4 [1978]

MCCRE,D.W.; BAKER,N.H.; SPIEGEL,E.A.

SEE ALSO L 511

APERIODIC BEHAVIOR OF A NON-LINEAR OSCILLATOR

QUART.J.MECH.APPL.MATH. VOL24 PART4 [1971] PP391-422

[ 581 ]

MCCRE,G.; SPENCE,ALISTAIR

A CONVERGENCE ANALYSIS FOR TURNING POINTS OF NONLINEAR COMPACT
OPERATOR EQUATIONS

ISAM VOL53 [1980] PP203-212 NUMERICAL TREATMENT OF INTEGRAL
EQUATIONS EDITED BY J.ALBRECHT.CLAUSTHAL-ZELLERFELD AND
L.CCLLATZ.HAMBURG BIRKHAUSER VERLAG BASEI
[ 582 ]

MCCRE,G.; SPENCE,ALISTAIR

THE CONVERGENCE OF APPROXIMATIONS TO NONLINEAR EQUATIONS AT SIMPLE
TURNING POINTS

ISNM VOL54 [1980] PP135-146 BIFURCATION PROBLEMS AND THEIR

NUMERICAL SOLUTION EDITED BY H.D.MITTEIMANN AND H.WEBER,DORTMUND

BIRKHAUSER VERLAG,BASEL

[ 583 ]

MCCRE,G.; SPENCE,ALISTAIR

THE CALCULATION OF TURNING POINTS OF NONLINEAR EQUATIONS

SIAM J.NLMER.ANAL. VOL17 NO 4 [1980] PP547-576

NACHMAN,ARJE; ANTMAN,STUART S.

SEE ALSO [ 33 ]

LARGE BUCKLED STATES OF ROTATING RODS

NONLINEAR ANAL.(TO APPEAR)

NEARING,J.; HLERTA,M.A.; GOLDSTEIN,R.A.

SEE ALSO [ 285 ]

SECONDARY BIFURCATION NEAR MULTIPLE EIGENVALUES

PREPRINT

NEGRINI,PIERC; MARCHETTI,F.; SALVADORI,L.; SCALIA,M.

SEE ALSO [ 539 ]

LIAPUNOV DIRECT METHOD IN APPROACHING BIFURCATION PROBLEMS

ANA.MATH.PURA APPL. (IV) VOL108 PP211-235 [1976]

[ 584 ]

NEGRINI,PIERC; SALVADORI,L.

ATTRACTIVITY AND HCPF BIFURCATION

NONLINEAR ANAL.THEORY.METHODS AND APPL. VOL3 NO 1 PP87-99 [1979]

[ 585 ]

NEGRINI,PIERC; TESEI,A.

ATTRACTIVITY AND HCPF BIFURCATION IN BANACH SPACES

J.MATH.ANAL.APPL. VOL78 PP204-221 [1980]

NEGRINI,PIERC; BERNFELD,S.R.; SALVADORI,L.

SEE ALSO [ 1041 ]

STABILITY AND GENERALIZED HCPF BIFURCATION THROUGH A REDUCTION

PRINCIPLE

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE "NONLINEAR

EQUATIONS:STABILITY, INVARIANCE AND BIFURCATION" TRENTO [1980]

ED.SALVADORI, L. DE MOTTCNI,P. ACADEMIC PRESS

NEGRINI,PIERC; CAPRINO,SILVIA

SEE ALSO [ 135 ]

ATTRACTIVITY PROPERTIES OF CLOSED CRBITS IN A CASE OF GENERALIZED

HOPF BIFURCATION

J.MATH.ANAL.APPL. VOL80 PP92-101 L1981]

NEL,JOHN C.; CCHEN,DONALD S.

SEE ALSO [ 177 ]

INTERACTING CSCIILLATORY CHEMICAL REACTORS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977; ANN.OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP332-337

[586]

NEWHOUSE, SHELDCN E.; PEIXOTO, N. M.
THERE IS A SIMPLE ARC JOINING ANY TWO MORSE-SMALE FLOWS
ASTERISQUE VOL31 [1976] PP15-41 MR58#24365

[587]

NEWHOUSE, SHELDCN E.; PALIS, J.
CYCLES AND BIFURCATION THEORY
ASTERISQUE VOL31 [1976] PP43-140 MR58#24366

[588]

NEWHOUSE, SHELDCN E.
STRUCTURAL STABILITY AND BIFURCATION THEORY
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP121-126

[589]

NEWMAN, MALCOLM; REISS, E. L.
NONLINEAR AXISYMMETRIC DEFORMATIONS OF CONICAL SHELLS
J.SCCEINDUST.APPL.MATH. VOL12 [1964] PP386-402 MR29#4296

[590]

NICOLAENKO, BASIL
SHOCK WAVE SOLUTIONS OF THE BOLTZMANN EQUATION AS A NONLINEAR BIFURCATION PROBLEM FROM THE ESSENTIAL SPECTRUM
COLLECTES INTERNAT. C.N.R.S. NO236 THEORIES CINETIQUES CLASSIQUES ET RELATIVISTES PP127-150 [1974]

[591]

NICOLAENKO, BASIL; THURBER, JAMES, K.
WEAK SHOCK AND BIFURCATING SOLUTIONS OF THE NON-LINEAR BOLTZMANN EQUATION.
J.NECANIQUE VOL14 NO2 [1975] PP305-338 MR52#4813

NICOLAENKO, BASIL; BRAUNER, CLAUDE-MICHEL
SEE ALSO [117]
PERTURBATION SINGULIERE, SOLUTIONS MULTIPLES ET HYSTERESIS DANS UN PROBLEME DE BICCHIMIE
C.R.ACAD.SCI.PARIS SER.A VOL283 PP775-778 [1976] MR55#2179

[592]

NICOLAENKO, BASIL
A GENERAL CLASS OF NONLINEAR BIFURCATION PROBLEMS FROM A POINT IN THE ESSENTIAL SPECTRUM. APPLICATION TO SHOCK WAVE SOLUTIONS OF KINETIC EQUATIONS
APPLICATIONS OF BIFURCATION THEORY PP333-357 ACADEMIC PRESS [1977]
NEW-YORK

NICOLAENKO, BASIL; BRAUNER, CLAUDE-MICHEL
SEE ALSO [118]
SINGULAR PERTURBATION, MULTIPLE SOLUTIONS AND HYSTERESIS IN A NONLINEAR PROBLEM
LECTURE NOTES IN MATH. SINGULAR PERTURBATIONS AND BOUNDARY LAYER
THEORY (PROC.CAN.ECCLE CENTRALE, LYON 1976) PP50-76 SPRINGER BERLIN
VOL594 [1977] MR57#10185
NICCLAENKO, BASIL; BRAUNER, CLAUDE-MICHEL

SEE ALSO [119]

SUR LNE CLASSE DE PROBLEMES ELLIPTIQUES NON LINEAIRES

C.F.ACAD.SCI.PARIS SER.A VOL286 PP1007-1010 [1978]

NICOLAENKO, BASIL; BRAUNER, CLAUDE-MICHEL

SEE ALSO [120]

SUR DES PROBLEMES AUX VALEURS PROPREES NON LINEAIRES QUI SE

PRCLNGENT EN PROBLEVES A FRONTIERE LIPRE

C.F.ACAD.SCI.PARIS SER.A VOL287 PP1105-1108 [1978]

NICOLIS, G.; ALCHNLTY, J.F.G.

SEE ALSO [451]

DISSIPATIVE STRLCTURES, CATASTROPHES, AND PATTERN FORMATION: A

BIFURCATION ANALYSIS

PRCC.NAT.ACAD.SCI.U.S.A. VOL71 [1974] NC7 PP2748-2751 MR55#13083

NICOLIS, G.; ALCHNLTY, J.F.G.

SEE ALSO [46]

BIFURCATION ANALYSIS OF NONLINEAR REACTION-DIFFUSION

EQUATIONS-I, EVCLITIC EQUATIONS AND THE STEADY STATE SOLUTIONS

BULL.MATH.BICLCGY VOL 37 [1975] PP323-365 MR53#15409A

NICOLIS, G.; ALCHNLTY, J.F.G.

SEE ALSO [47]

BIFURCATION ANALYSIS OF NONLINEAR REACTION-DIFFUSION

EQUATIONS-III, CHEMICAL OSCILLATIONS

BULL.MATH.BICLCGY VOL 38 [1976] PP325-350 MR56#12609

NICOLIS, G.; ALCHNLTY, J.F.G.

SEE ALSO [48]

ERRATA OF BIFURCATION ANALYSIS

BULL.MATH.BICLCGY VOL 39 [1977] PP505-507

[593]

NICOLIS, G.; TLRNER, J.W.

EFFECT OF FLLCTLATIONS ON BIFURCATION PHENOMENA

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP251-262

NIELC, D.A.; JCSEPH, DANIEL D.

SEE ALSO [414]

STABILITY OF TIME-PERIODIC AND STEADY SOLUTIONS OF ARBITRARY

AMPLITUDE

ARCH. RATIONAL MECH. ANAL. VOL58 NO4 [1975] PP369-380

NIELSEN, H.B.; ICCSS, GERARD; TRLE, HANS

SEE ALSO [389]

BIFURCATION OF THE STATIONARY EKMAN FLCW IN A STABLE PERIODIC FLCW

ARCH. RATIONAL MECH. ANAL. VOL68 NO3 [1978] PP227-256

NISHILRA, YASUNASA; MIMURA, MASAYASU; YAMAGLI, MASAYA

SEE ALSO [572]

SOME DIFFUSIVE PREY AND PREDATOR SYSTEMS AND THEIR BIFURCATION

PROBLEMS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP490-510

[ 594 ]

NITECKI,ZBIGNIEW

BIFURCATION FROM COMPLETELY UNSTABLE FLOWS ON THE CYLINDER

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP86-107

[ 595 ]

NORMAND,CHRISTIANE; VELARDE,M.G.; POMEAU,YVES

CONVECTIVE INSTABILITY:A PHYSICIST'S APPROACH

REV.MODERN PHYS. VOL49 [1977] NO3 PP581-624 MR55#11801

[ 596 ]

NLSSBALM,ROGER D.

A GLOBAL BIFURCATION THEOREM WITH APPLICATIONS TO FUNCTIONAL DIFFERENTIAL EQUATIONS

J.FUNCTIONAL ANALYSIS VOL19 [1975] NO4 PP319-338 MR52#6516

[ 597 ]

NLSSBALM,ROGER D.

A BIFURCATION THEOREM WITH APPLICATIONS TO SOME AUTONOMOUS FUNCTIONAL DIFFERENTIAL EQUATIONS

PROCCEEDINGS OF THE CONFERENCE ON PROBLEMS IN NONLINEAR FUNCTIONAL ANALYSIS (LNIV.BCNN.BONN.1975) PP68-70

GESELLSCH.MATH.DATENVERARBEITUNG.ST.AUGUSTIN,[1975] MR55#3892

[ 598 ]

NLSSBALM,ROGER D.; STUART,CHARLES A.

A SINGULAR BIFURCATION PROBLEM

J.LONDON MATH.SOC. (2) VOL14 [1976] NO1 PP31-38 MR55#755

[ 599 ]

NLSSBALM,ROGER D.

GLOBAL BIFURCATION OF PERIODIC SOLUTIONS OF SOME AUTONOMOUS FUNCTIONAL DIFFERENTIAL EQUATIONS

J.MATH.ANAL.AFFL. VOL55 [1976] NO3 PP699-725 MR55#3478

[ 600 ]

NLSSBALM,ROGER D.

PERIODIC SOLUTIONS OF SOME NONLINEAR INTEGRAL EQUATIONS

DYNAMICAL SYSTEMS
(PRCC INTERNAT.SYMPOS.,UNIV.FLORIDA.GAINESVILLE,FLO.,1976)
PP221-249 ACADEMIC PRESS NEW YORK,[1977] MR57#3783

[ 601 ]

NLSSBALM,ROGER D.

DIFFERENTIAL-DELAY EQUATIONS WITH TWO TIME LAGS

MEM.AMER.MATH.SOC. VOL16 [1978] NO 205 VT+62PP MR58#11801

[ 602 ]

NLSSBALM,ROGER D.

A PERIODICITY THRESHOLD THEOREM FOR SOME NONLINEAR INTEGRAL EQUATIONS

SIAM J.MATH.ANAL. VOL9 [1978] NO 2 PP356-376 MR57#17424
[ 603 ]

NLSSBALM, ROGER D.

A HOPF GLOBAL BIFURCATION THEOREM FOR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS

TRANS.AMER.MATH.SOC. VOL238 [1978] PP139-164

CLSEN, LARS F.; DEGN, HANS; PERRAM, JOHN H.

SEE ALSO [ 235 ]

BISTABILITY, CSCILLATION, AND CHAOS IN AN ENZYME REACTION

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP623-637

[ 604 ]

CRTOLEVA, PETER

DISCUSSION PAPER: BIFURCATIONS AND PERTURBED ATTRACTORS IN PHYSICOCHEMICAL SYSTEMS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP350-356

CSTER, G.; GUCKENHEIMER, JOHN

SEE ALSO [ 305 ]

BIFURCATION PHENOMENA IN POPULATION MODELS

THE HOPF BIFURCATION THEOREM AND ITS APPLICATIONS ED. MARSDEN, M. MC

CRACKEN, SPRINGER-VERLAG [1976] PP327-353

CSTER, G.; IPAKTCHI, A.; ROCKLIN, S.

SEE ALSO [ 393 ]

PHENotypic structure and bifurcation behavior of population models

THEORETICAL POPULATION BIOL. VOL 10 [1974] PP365

CSTER, G.; IPAKTCHI, A.; GUCKENHEIMER, JOHN

SEE ALSO [ 306 ]

THE DYNAMICS OF DENSITY DEPENDENT POPULATION MODELS

J. MATH. BIOL. VOL 4 [1977] NO 2 PP101-147

[ 605 ]

CTHVER, HANS G.

APPLICATIONS OF BIFURCATION THEORY IN THE ANALYSIS OF SPATIAL AND TEMPRAL PATTERN FORMATION

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP64-77

CTT, EDWARD, FINN, JOHN M.; WERSINGER, JEAN-MARIE

SEE ALSO L 2611

BIFURCATIONS AND "STRANGE" BEHAVIOR IN A COUPLED THREE WAVE SYSTEM
INTRINSIC STOCHASTICITY IN PLASMAS ED. BY G. LAVAL AND D. GRESILICH

LES EDITIONS DE PHYSIQUE ORSAY [1979] pp403-413

CTT, EDWARD, FINN, JOHN M.; WERSINGER, JEAN-MARIE

SEE ALSO L 2621

BIFURCATION AND "STRANGE" BEHAVIOR IN INSTABILITY SATURATION BY NONLINEAR THREE WAVE MODE CCLPLING

PHYS. FLUIDS VOL23 NO 6 [1980] PP1142-1154
CTT.EDWARD; FINN,JOHN M.; WERSINGER,JEAN-MARIE

SEE ALSO L 263]

BIFURCATIONS AND STRANGE BEHAVIOR IN INSTABILITY SATURATION BY

NONLINEAR MODE COUPLING

PHYS.REV.LETT. VOL44 NO 7 PP453-456 [1980]

PACE,S.; MICHELETTI,A.; ZIRILLI,F.

SEE ALSO & 567]

SOME RIGOROUS RESULTS ABOUT GINZBURG-LANDAU EQUATIONS

NUCVC CIMENTC B VOL29 NO1 [1975] PP87-99

PACE,S.; CLCCLC.A.M.; ZIRILLI,F.

SEE ALSO & 209]

BIFURCATION THEORY AND ORDER OF PHASE TRANSITION FOR PROXIMITY

EFFECT SANDWICHES

J.LCH.TEMPERATLRE PHYSICS VOL32 [1978]

PACE,S.; CLCCLC.A.M.

SEE ALSO [ 210]

THERMODYNAMICS OF SECOND ORDER PHASE TRANSITIONS IN A MOLECULAR

FIELD THEORY FOR INHOMOGENEOUS SYSTEMS, PROXIMITY SANDWICHES

SUPPL.J.PHYS. VOL484 NO8 C-6 [1978]

PACE,S.; CLCCLC.A.M.; DE FILIPPO,S.

SEE ALSC [ 2117]

SOME REMARKS ON THE PHASE DIAGRAM OF

MAGNETIC-SUPERCONDUCTING-MAGNETIC PROXIMITY SANDWICHES

PREPRINT

PALIS,J.; NEWHOUSE,SHELDON E.

SEE ALSC [ 587]

CYCLES AND BIFURCATION THEORY

ASTERISQUE VOL31 [1976] PP43-140 MR58#24366

[ 606]

PEITGEN,HEINZ-CTTC

SOME APPLICATIONS OF THE FIXED POINT INDEX IN ASYMPTOTIC FIXED

POINT THEORY

FIXED POINTS THEORY AND ITS APPLICATIONS PP137-148

(PRCC.SEM.,CALPHOLSIE UNIV.HALIFAX,N.S.1975) ACADEMIC PRESS,NEW

YORK [1976] MR56#6648

[ 607]

PEITGEN,HEINZ-CTTC

ON CONTINUOUS OF PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL

EQUATIONS

ROCKY MOUNTAIN J.MATH. VOL7 [1977] NO 3 PP609-617 MR57#6614

PROCEEDINGS OF THE REGIONAL CONFERENCE ON THE APPLICATION OF

TOPCLOGICAL METHODS IN DIFFERENTIAL EQUATIONS (BOULDER,COLO.1976)

PEITGEN,HEINZ-CTTC; JURGENS,HARTMUT; SAUPE,DIETMAR

SEE ALSO [ 420]

TOPCLOGICAL PERTURBATIONS IN THE NUMERICAL STUDY OF NONLINEAR

EIGENVALUE AND BIFURCATION PROBLEMS

ANALYSIS AND COMPUTATION OF FIXED POINTS PP139-181 [1980] ACADEMIC

PRESS
[ 608 ]

PEITGEN, HEINZ-CTTC; SCHMITT, KLAUS
GLOBAL TOPICAL PERTURBATIONS OF NONLINEAR ELLIPTIC EIGENVALUE
PROBLEMS
PREPRINT NO 405 [1980] 20PP.

[ 609 ]

PEITGEN, HEINZ-CTTC; SAUPE, DIETMAR; SCHMITT, KLAUS
NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS VERSUS THEIR FINITE
DIFFERENCE APPROXIMATIONS: NUMERICALLY RELEVANT SOLUTIONS
J. REINE ANGELMATH. VOL322 [1981] PP74-117

PEIXTO, M. M.; NEWHOUSE, SHELDON E.
SEE ALSO [ 586 ]
THERE IS A SIMPLE ARC JOINING ANY TWO MORSE-SMALE FLOWS
ASTERISQUE VOL31 [1976] PP15-41 MR58#24345

PELETIER, L. A.; CLEMENT, PHILIPPE
SEE ALSO [ 171 ]
CN POSITIVE-CONCAVE SOLUTIONS OF TWO POINT NONLINEAR EIGENVALUE
PROBLEMS
J. MATH. ANAL. APPL. VOL69 NO2. PP329-340 [1979]

[ 610 ]

PERKC, L. M.
SECOND SPECIES SOLUTIONS WITH AN O(NL,NU), U<NU<1, NEAR-MOON
PASSAGE
CELESTIAL MECH. VOL24 [1981] PP155-171

[ 611 ]

PERKC, L. M.
PERIODIC ORBITS IN THE RESTRICTED PROBLEM: AN ANALYSIS IN THE
NEIGHBORHOOD OF A 1ST SPECIES-2ND SPECIES BIFURCATION
SIAM J. APPL. MATH. VOL41 NO 1 [1981] PP181-202

PERRAM, JOHN W.; DEGN, HANS; OLSEN, LARS F.
SEE ALSO [ 235 ]
BISTABILITY, SCILLATION, AND CHAOS IN AN ENZYME REACTION
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP623-637

PERSEK, S. C.; HOPFENSTEADT, FRANK C.
SEE ALSO [ 361 ]
ITERATED AVERAGING METHODS FOR SYSTEMS OF ORDINARY DIFFERENTIAL
EQUATIONS WITH A SMALL PARAMETER
COMM. PURE APPL. MATH. VOL31 [1978] PP133-156

[ 612 ]

PETERS, HUBERT
COMPORTEMENT CHACTIQUE D'UNE EQUATION DIFFERENTIELLE RETARDEE
C.R. ACAD. SCI. PARIS SER.A-B. VOL290 [1980] PP1119-1122
PETRISHYN, W.V.; FITZPATRICK, P.M.
SEE ALSO [ 266 ]
FIXED-POINT THEOREMS FOR MULTIVAlUED NONCOMPACT INWARD MAPS
J.MATH.ANAL.APFL. VOL46 NO3 [1974] PP7=6-767

PETRISHYN, W.V.; FITZPATRICK, P.M.
SEE ALSO [ 268 ]
A DEGREE THEORY, FIXED POINTS THEOREMS, AND MAPPING THEOREMS FOR MULTIVAlUED NONCOMPACT MAPPINGS
TRANS.AMER.MATH.SOC. VOL194 [1974] PP1-25

PETRISHYN, W.V.; FITZPATRICK, P.M.
SEE ALSO [ 269 ]
POSITIVE EIGENVALUES FOR NONLINEAR MULTIVAlUED NONCOMPACT OPERATORS WITH APPLICATIONS TO DIFFERENTIAL OPERATORS
J.DIFFERENTIAL EQUATIONS VOL22 NO2 [1976] PP428-441 MR55#8909

PETRISHYN, W.V.; FITZPATRICK, P.M.
SEE ALSO [ 270 ]
ON THE NONLINEAR EIGENVALUE PROBLEM T(U)=LAMBDA.C(U). INVOLVING NONCOMPACT ABSTRACT AND DIFFERENTIAL OPERATORS
PREPRINT

PIGNATARC, MARCELLO; RIZZI, NICOLA; DI CARLO, ANTONIO
SEE ALSO [ 239 ]
SYMMETRIC BIFURCATION OF PLANE FRAMES THROUGH A MODIFIED POTENTIAL ENERGY APPROACH
J.STRUCT.MECH. VOL8 (3) PP237-255 [1980]

PIGNATARC, MARCELLO; RIZZI, NICOLA; DI CARLO, ANTONIO
SEE ALSO [ 240 ]
A PARAMETRIC POSTBUCKLING ANALYSIS OF AN ASYMMETRIC TWO-BAR FRAME
J.STRUCT.MECH. VOL8 (4) PP435-448 [1980]

[ 613 ]
PIMBLEY, GEORGE H.
THE NONOSCILLATION OF SECONDARY BIFURCATION WITH HAMMERSTEIN OPERATORS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP168-177

[ 614 ]
PIMBLEY, GEORGE H.JR.
A SUBLINEAR STLRN-LICUVILLE PROBLEM
J.MATH.MECH. VOL11 [1962] PP121-138 MR25#2262A

[ 615 ]
PIMBLEY, GEORGE H.JR.
A SUPERLINEAR STLRN-LICUVILLE PROBLEM
TRANS.AMER.MATH.SOC. VOL13 [1962] PP229-248 MR25#2262B

[ 616 ]
PIMBLEY, GEORGE H.JR.
THE EIGENVALUE PROBLEM FOR SUBLINEAR HAMMERSTEIN OPERATORS WITH OSCILLATION Kernels
J.MATH.MECH. VOL12 [1963] PP577-597 MR27#1792
[ 617 ]

PIMBLEY, GEORGE H. JR.

POSITIVE SOLUTIONS OF A QUADRATIC INTEGRAL EQUATION

ARCH. RATIONAL MECH. ANAL. VOL24 [1967] PP107-127 MR34#4845

[ 618 ]

PIMBLEY, GEORGE H. JR.

A FIXED-POINT METHOD FOR EIGENFUNCTIONS OF SUBLINEAR HAMMERSTEIN OPERATORS

ARCH. RATIONAL MECH. ANAL. VOL31 [1968/69] PP357-363 MR38#6325

[ 619 ]

PIMBLEY, GEORGE H. JR.

TWC CONDITIONS PREVENTING SECONDARY BIFURCATION FOR EIGENFUNCTIONS OF SUBLINEAR HAMMERSTEIN OPERATORS

J. MATH. MECH. VOL18 [1969] PP787-803 MR39#737(E)

[ 620 ]

PIMBLEY, GEORGE H. JR.

EIGENFUNCTION BRANCHES OF NONLINEAR OPERATORS AND THEIR BIFURCATIONS

LECTURE NOTES IN MATH. VOL104 SPRINGER, BERLIN [1969] I+128PP

MR42#916

[ 621 ]

PIMBLEY, GEORGE H. JR.

ON EIGENFUNCTION BRANCHES OF NONLINEAR OPERATORS, AND THEIR BIFURCATIONS

MATH.Z. VOL15 [1970] PP231-234 MR42#915

[ 622 ]

PIMBLEY, GEORGE H. JR.

CORRECTLY CN: "TWC CONDITIONS PREVENTING SECONDARY BIFURCATION OF EIGENFUNCTIONS OF SUBLINEAR HAMMERSTEIN OPERATORS"

INDIANA LNIV.MATH.J. VOL20 [1970/71] PP37-340 MR41#8949

[ 623 ]

PIMBLEY, GEORGE H. JR.

PERIODIC SOLUTIONS OF PREDATOR-PREY EQUATIONS SIMULATING AN IMMUNE RESPONSE I.

MATH.BIOSCI. VOL20 [1974] PP27-51 MR49#4597

PIMBLEY, GEORGE H. JR.; BAZLEY, NORMAN W.

SEE ALSO [ 64 ]

A REGION OF NO SECONDARY BIFURCATION FOR NONLINEAR HAMMERSTEIN OPERATORS

Z. ANGEL.MATH.PHYS. VOL25 [1974] PP743-751 MR50#14398

[ 624 ]

PIMBLEY, GEORGE H. JR.

A DIRECTION OF BIFURCATION FORMULA IN THE THEORY OF THE IMMUNE RESPONSE

BULL. AMER. MATH. SOC. VOL82 [1976] NO 1 PP56-58 MR53#5053

[ 625 ]

PIMBLEY, GEORGE H. JR.

BIFURCATION BEHAVIOR OF PERIODIC SOLUTIONS FOR AN IMMUNE RESPONSE

PRCBLEN
ARCH. RATIONAL MECH. ANAL. VOL64 [1977] NO 2 PP169-192 MR54#13220
[ 626 ]

FINLEY, GEORGE H. JR.
SUPERLINEAR HANVERSTEIN OPERATORS AND THE NONOCCURRENCE OF
SECONDARY BIFURCATION

SIAM J. APPL. MATH. VOL 33 [1977] NO 2 PP298-322 MR57#3784

[ 627 ]

PIMBLEY, GEORGE H. JR.
SIMPLE TIME-EVOLUTION EQUATIONS SIMULATING AN IMMUNE
RESPONSE: THEIR DERIVATION, TREATMENT, AND INTERPRETATION
THEORETICAL IMMUNOLOGY PP455-479 IMMUNOLOGY SER., VOL8 DEKKER, NEW
YORK [1978] MR52#4453

[ 628 ]

FINLEY, GEORGE H. JR.
ON THE NON-CCLFRENCE OF SECONDARY BIFURCATIONS IN EIGENVALUES
PROBLEMS FOR NONLINEAR OPERATORS IN BANACH SPACE

INDIANA UNIV. MATH. J. VOL 29 NO 5 [1980] PP747-767

[ 629 ]

FISHER, L. M.
BIFURCATION INTO WAVE PATTERNS AND TURBULENCE IN
REACTION-DIFFUSION EQUATIONS

SIAM NATIONAL MEETING [1980]

PLASTOCK, R. A.; BERGER, MELVYN S.
SEE ALSO [1021]
ON THE SINGULARITIES OF NONLINEAR FREDHOLM OPERATORS

BULL. AMER. MATH. SOC. VOL 83 [1977] NO 6 PP1316-1318 MR56#9566

PLESSER, THEODORE; HESS, BENNO
TEMPORAL AND SPATIAL ORDER IN BIOCHEMICAL SYSTEMS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN. OF THE NEW YORK ACADEMY OF SCI. VOL 316 [1979] PP203-213

PCDOLAK, E.; BERGER, MELVYN S.
SEE ALSO [1011]
ON THE SOLUTIONS OF A NONLINEAR DIRICHLET PROBLEM

INDIANA UNIV. MATH. J. VOL 24 [1974/75] PP837-846 MR51#13447

FCGOSIAN, T. I.; KHARLANOV, M. P.
SEE ALSO [447]
BIFURCATION SET AND INTEGRAL MANIFOLDS OF THE PROBLEM CONCERNING
THE MOTION OF A RIGID BODY IN A LINEAR FORCE FIELD

PMM VOL 43 NO 3 [1979] PP429-428 (ENGLISH TRANSL. PP452-462 1980)

FCMEAL, YVES; VELARDE, M. G.; NORMAND, CHRISTIANE
SEE ALSO [595]
CONVECTIVE INSTABILITY: A PHYSICIST'S APPROACH

REV. MODERN PHYS. VOL 49 [1977] NO 3 PP581-624 MR55#11801
[ 630 ]

PCORE, A. B.

ON THE THEORY AND APPLICATION OF THE HOPF-FRIEDRICHS BIFURCATION
THEORY
ARCH.RATIONAL MECH.ANAL. VOL60 [1976] PP371-393

PCORE, A. B.; AL-RAKI, A.

SEE ALSO [ 4 ]
SOME APPLICABLE HOPF BIFURCATION FORMULAS AND AN APPLICATION IN
WIND ENGINEERING
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 [1979] PP590-604

PCORE, A.B.; HEINEVAN, R.F.

SEE ALSO L 3351
HOFF BIFURCATION COMPUTATIONS FOR DISTRIBUTED PARAMETER SYSTEMS
SIAM NATIONAL MEETING [1980]

[ 631 ]

PRODI, GICVANNI

PROBLEMI DI DIRAMAZIONE PER EQUAZIONI FUNZIONALI (BIFURCATION
PROBLEMS FOR FUNCTIONAL EQUATIONS)
BOLL.UN.MAT.ITAL. (3) VOL22 [1967] PP413-433 MR39#6127

[ 632 ]

PRODI, GICVANNI

PROBLEMI DI DIRAMAZIONE PER EQUAZIONI FUNZIONALI (BIFURCATION
PROBLEMS FOR FUNCTIONAL EQUATIONS)
ATTI DELL'VIII CONGRESSO DELL'UNIONE MATEMATICA ITALIANA, TRIESTE
1967 PP118-137 AZZOGUIDI ED. BCOLGNA ITALY [1968]

PRODI, GICVANNI, MARINO, ANTONIC

SEE ALSO L 541
LA TEORIA DI MORSE PER GLI SFAZI DI HILBERT (THE MORSE THEORY FOR
HILBERT'S SPACES)
REND.SEM.MAT.UNIV.PADOVA VOL41 [1968] PP43-68 MR41#2715

PRODI, GICVANNI; AMBROSETTI, ANTONIC

SEE ALSO [ 16 ]
ON THE INVERSION OF SOME DIFFERENTIABLE MAPPINGS WITH
SINGLLARITIES BETWEEN BANACH SPACES
ANN.MAT.PURA APPL. VOL23 NO4 [1972] PP231-247 MR47#9377

PRODI, GICVANNI; AMBROSETTI, ANTONIC

SEE ALSO [ 19 ]
ON THE INVERSION OF SOME DIFFERENTIABLE MAPPINGS WITH
SINGLLARITIES BETWEEN BANACH SPACES
THEORY OF NONLINEAR OPERATORS (PROC.SLMMER SCHOOL, BABYLN,
CZECKOSLOVAKIA 1971) PP9-28 ACADEMIA PRAGUE [1973] MR52#4331

FLTNICK, L.J.; MATKCWSKY, BERNARD J.; SIVASHINSKY, G.I.

SEE ALSO [ 554 ]
A NONLINEAR THEORY OF CELLULAR FLAMES
SIAM J.APL.MATH. VOL38 NO 3 [1980] PP489-504
FLTNICK,LECNARD J.; MATKCWSKY,BERNARD J.

SEE ALSO [ 551 ]

MULTIPLE BUCKLED STATES OF RECTANGULAR PLATES

INTERNAT.J.ACN-LINEAR MECHANICS VOL9 [1974] PP89-103

[ 633 ]

RABINCHITZ,PALL H.

EXISTENCE AND NONUNIQUENESS OF RECTANGULAR SOLUTIONS OF THE BENARD
PROBLEM

ARCH.RATIONAL MECH.ANAL. VOL29 [1968] PP32-57 MR38#1878

RABINCHITZ,PALL H.; CRANDALL,M.G.

SEE ALSO [ 186 ]

NONLINEAR STURN-LICUVILLE EIGENVALUE PROBLEMS AND TOPOLOGICAL
DEGREE

J.MATH.MECH. VOL19 [1969/70] PP1083-1102 MR41#3874

RABINCHITZ,PALL H.; CRANDALL,M.G.

SEE ALSO [ 187 ]

MULTIPLE SOLUTIONS OF A NONLINEAR INTEGRAL EQUATION

ARCH.RATIONAL MECH.ANAL. VOL37 [1970] PP262-267 MR41#765

[ 634 ]

RABINCHITZ,PALL H.

NONLINEAR STURN-LICUVILLE PROBLEMS FOR SECOND ORDER ORDINARY
DIFFERENTIAL EQUATIONS

COMM.PURE APPL.MATH. VOL23 [1970] PP939-961 MR44#1866

[ 635 ]

RABINCHITZ,PALL H.

A GLOBAL THEOREM FOR NONLINEAR EIGENVALUES PROBLEMS AND
APPLICATIONS

CONTRIBUTION TO NONLINEAR FUNCTIONAL ANALYSIS
(PRCC.SYMPCS.MATH RES.CENTER.UNIV.WISCONSIN.MADISON.WIS.1971)
PP11-36 ACADEMIC PRESS NEW-YORK [1971] MR52#11681

[ 636 ]

RABINCHITZ,PALL H.

A NOTE ON A NONLINEAR EIGENVALUE PROBLEM FOR A CLASS OF
DIFFERENTIAL EQUATIONS

J.DIFFERENTIAL EQUATIONS VOL9 [1971] PP536-548 MR42#7980

[ 637 ]

RABINCHITZ,PALL H.

SOME GLOBAL RESULTS FOR NONLINEAR EIGENVALUE PROBLEMS

J.FUNCTIONAL ANALYSIS VOL7 [1971] PP3487-513 MR46#745

RABINCHITZ,PALL H.; CRANDALL,M.G.

SEE ALSO [ 188 ]

BIFURCATION FROM SIMPLE EIGENVALUES

J.FUNCTIONAL ANALYSIS VOL8 [1971] PP321-340 MR44#5836

[ 638 ]

RABINCHITZ,PALL H.

A NONLINEAR STURN-LICUVILLE THEOREM, JAPAN-UNITED STATES SEMINAR ON
ORDINARY DIFFERENTIAL AND FUNCTIONAL EQUATIONS (KYOTO 1971)

LECTURE NOTES IN MATH. VOL243 SPRINGER BERLIN [1971] PP182-192
MR52#11179
[ 639 ]

RABINWITZ,PALL H.
TIME PERIODIC SOLUTIONS OF NONLINEAR WAVE EQUATIONS
MANLSCRIPTA MATH. VOL5 [1971] PP165-194

[ 640 ]

RABINWITZ,PALL H.
A PRIORI BOUNDS FOR SOME BIFURCATION PROBLEMS IN FLUID DYNAMICS
ARCH.RATIONAL MECH.ANAL. VOL49 [1972/73] PP270-285 MR49#6763

RABINWITZ,PALL H.; CRANDALL,M.G.
SEE ALSO [ 189 ]
BIFURCATION, FERTURBATION OF SIMPLE EIGENVALUES AND LINEARIZED
STABILITY
ARCH.RATIONAL MECH.ANAL. VOL52 [1973] PP161-180 MR49#5962

[ 641 ]

RABINWITZ,PALL H.
ON BIFURCATION FROM INFINITY
J.DIFFERENTIAL EQUATIONS VOL14 [1973] PP462-475 MR48#7047

[ 642 ]

RABINWITZ,PALL H.
SOME ASPECTS OF NONLINEAR EIGENVALUES PROBLEMS, ROCKY MOUNTAIN
CONSCRTILM SYMPOSILM ON NONLINEAR EIGENVALUE PROBLEMS (SANTA-FE
N.M.1971)
ROCKY MOUNTAIN J.MATH. VOL3 [1973] PP161-202 MR47#9383

[ 643 ]

RABINWITZ,PALL H.
PAIRS OF POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC PARTIAL
DIFFERENTIAL EQUATIONS
INDIANA UNIV.MATH.J. VOL23 [1973/74] PP173-186 MR47#7214

[ 644 ]

RABINWITZ,PALL H.
VARIATIONAL METHODS FOR NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
INDIANA UNIV.MATH.J. VOL23 [1973/74] PD729-754 MR49#11767

[ 645 ]

RABINWITZ,PALL H.
VARIATIONAL METHODS FOR NONLINEAR EIGENVALUE PROBLEMS
EIGENVALLES CF NON-LINEAR PROBLEMS (CENTRO INTERNAZ.MAT.ESTIVO.
(C.I.M.E.),III CICLO,VARENNA.1974) PP179-195 EDIIONI
CREMONESE,RCNA.[1974] MR57#4232

[ 646 ]

RABINWITZ,PALL H.
A NOTE ON PAIRS OF SOLUTIONS OF A NONLINEAR STurm-LIOUVILLE
PROBLEM
MANLSCRIPTA MATH. VOL11 [1974] PP273-282 MR48#11656

RABINWITZ,PALL H.; CRANDALL,M.G.
SEE ALSO [ 190 ]
SOME CONTINLATION AND VARIATIONAL METHODS FOR POSITIVE SOLUTIONS
OF NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
ARCH.RATIONAL MECH.ANAL. VOL58 [1975] NC3 PP207-218 MR52#3730
[ 647 ]

RABINCHWITZ, PALL H.

A NOTE ON TOPCLOGICAL DEGREE FOR POTENTIAL OPERATORS

J.MATH.ANAL.APPL. VOL51 [1975] NO 2 PP483-492 MR57#10518

RABINCHWITZ, PALL H.; CRANDALL, M.G.

SEE ALSO [ 191 ]

THE HOREE BIFURCATION THEOREM IN INFINITE DIMENSIONS

ARCH.RATIONAL MECH.ANAL. VOL67 [1977] NO 1 PP53-72 MR57#7695

RABINCHWITZ, PALL H.; CRANDALL, M.G.; TARTAR, LUC

SEE ALSO [ 192 ]

ON A DIRICHLET PROBLEM WITH A SINGULAR NONLINEARITY

COMM.PARTIAL DIFFERENTIAL EQUATIONS VOL2 NO2 [1977] PP193-222

MR55#856

RABINCHWITZ, PALL H.; CRANDALL, M.G.

SEE ALSO [ 193 ]

THE PRINCIPLE OF EXCHANGE OF STABILITY

DYNAMICAL SYSTEMS (PROC.INTERNAT.SYMPOS..UNIV.

FLORIDA, GAINESVILLE, FLC, 1976) PP27-41 ACADEMIC

PRESS, NEW-YORK, [1977] MR58#2884

[ 648 ]

RABINCHWITZ, PALL H.

A BIFURCATION THEOREM FOR POTENTIAL OPERATORS

J.FUNCTIONAL ANALYSIS VOL25 [1977] PP412-424 MR57#3928

RABINCHWITZ, PALL H.; FADELL, EDWARD R.

SEE ALSO [ 249 ]

BIFURCATION FOR CDD POTENTIAL OPERATORS AND AN ALTERNATIVE

TOPCLOGICAL INDEX

J.FUNCTIONAL ANALYSIS VOL26 [1977] PP48-67 MR56#6716

RABINCHWITZ, PALL H.; FADELL, EDWARD R.

SEE ALSO [ 250 ]

GENERALIZED COHOMOLOGICAL INDEX THEORIES FOR LIE GROUP ACTIONS

WITH AN APPLICATION TO BIFURCATION QUESTIONS FOR HAMILTONIAN

SYSTEMS

INVENT.MATH. VOL45 [1978] NO 2 PP139-174 MR57#17677

[ 649 ]

RABINCHWITZ, PALL H.

A MINIMAX PRINCIPLE AND APPLICATIONS TO ELLIPTIC PARTIAL

DIFFERENTIAL EQUATIONS

LECTURE NOTES IN MATH. VOL648 SPRINGER, BERLIN [1978] NONLINEAR

PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS (PROC.SPECIAL

SEM.,INDIANA UNIV.,BLOOMINGTON,IND.,1976-1977)) PP97-115 MR58#7694

RAND,DAVID A.; HCLVES, PHILIP J.

SEE ALSO [ 346 ]

THE BIFURCATIONS OF DUFFING'S EQUATION: AN APPLICATION OF

CATASTROPHE THEORY

J.SCLND AND VIBRATION VOL44 [1976] (2) PP237-253

RAND,DAVID A.; JONKER, LEC

SEE ALSO [ 397 ]

A LOWER BOUND FOR THE ENTROPY OF CERTAIN MAPS OF THE UNIT INTERVAL

PREPRINT [1978]
RAND,DAVID A.; JONKER,LEC

SEE ALSO [398]

BIFURCATIONS IN ONE DIMENSION I:THE NONWANDERING SET

PREPRINT [1978]

RAND,DAVID A.; HCLVES,PHILIP J.

SEE ALSO [351]

BIFURCATIONS OF THE FORCED VAN DER PCL CSCILLATOR

QUART APPL MATH. VOL 35 [1978] PP495-509

RAND,DAVID A.; JONKER,LEC

SEE ALSO [399]

BIFURCATIONS IN ONE DIMENSION II:A VERSAL MODEL FOR BIFURCATIONS

INVENT MATH. VOL 63 PP1-15 [1981]

RAPPAZ,JACGLES; DESCLCUX,J.

SEE ALSO [237]

ON NUMERICAL APPROXIMATION OF SOLUTION BRANCHES OF NONLINEAR

EQUATIONS

PREPRINT

[650]

RAPPAZ,JACGLES *#*RALGEL,GENEVIEVE

FINITE DIMENSIONAL APPROXIMATION OF BIFURCATION PROBLEMS AT A

MULTIPLE EIGENVALUE

RAPPART NC 71 ECOLE POLYTECHNIQUE PALAISEAU [1981] 109P.

[651]

RAVECHE,HARCLCD J.; STLART,C.A.

TOWARDS A MCLECLAR THEORY OF FREEZING. II. STUDY OF BIFURCATION

AS A FUNCTION OF DENSITY

J CHEM PHYS. VOL 65 NO 6 [1976] PP2305-2312

[652]

RAVECHE,HARCLCD J.; STLART,C.A.

BIFURCATION OF SOLUTIONS WITH CRYSTALLINE SYMMETRY

J. MATHEMATICAL PHYS. VOL 17 [1976] NO 11 P1949-1953 MR54#6812

[653]

RAVECHE,HARCLCD J.; STLART,C.A.

UNIGENESS FOR THE BBGKY HIERARCHY FOR HARD SPHERES IN ONE

DIMENSION

J STATIST PHYS. VOL 17 NO 5 (1977) PP311-321

RAVECHE,HARCLCD J.; KAYSER,RICHARD F.

SEE ALSO [423]

TOWARDS A MCLECLAR THEORY OF THE FREEZING.: THE EQUATION OF

STATE AND THE FREE ENERGY FROM THE FIRST BBGKY EQUATION

J CHEM PHYS. VOL 68 NO 8 [1978] PP3632-3643

RAVECHE,HARCLCD J.; KAYSER,RICHARD F.

SEE ALSO [424]

BIFURCATION IN CASAGGER'S MODEL OF THE ISCTROPIC-NEMATIC TRANSITION

PHYS REV A VOL 17 NO 6 [1978] PP2067-2075
[ 654 ]

REDDIEN, G. W.
COMPLIATION OF BIFURCATION BRANCHES USING PROJECTION METHODS
J. MATH. ANAL. APPL. VCL81 PP204-218 [1981]

[ 655 ]

REEKEN, MICHAEL
GENERAL THEOREM ON BIFURCATION AND ITS APPLICATION TO THE HARTREE
EQUATION OF THE HELIUM ATOM
J. MATH. PHYS. VCL11 [1970] PP2505-2512 MR43#5369

REEKEN, MICHAEL; BAZLEY, NORMAN W.; ZWAHLEN, BRUNO
SEE ALSO [ 61 ]
GLOBAL PROPERTIES OF THE MINIMAL BRANCH OF A CLASS OF NONLINEAR
VARIATIONAL PROBLEMS
MATH. Z. VCL123 [1971] PP301-309 MR44#7401

[ 656 ]

REEKEN, MICHAEL
STABILITY OF CRITICAL POINTS UNDER SMALL PERTURBATIONS I
TOPCLOGICAL THEORY
MANLSCRIPTA MATH. VOL7 [1972] PP387-411 MR48#9756

REEKEN, MICHAEL; BAZLEY, NORMAN W.
SEE ALSO [ 62 ]
LOWER BOUNDS FOR CRITICAL VALUES
MATH. REPORT BATELLE ADV. STUDIES CENTER [1972]

[ 657 ]

REEKEN, MICHAEL
BIFURCATION THEORY FOR GRADIENT SYSTEMS
LECTURE NOTES IN MATH. VOL322 PP244-260 NONLINEAR PROBLEMS IN THE
PHYSICAL SCIENCES AND BIOLOGY [1973] SPRINGER BERLIN

[ 658 ]

REEKEN, MICHAEL
STABILITY OF CRITICAL POINTS UNDER SMALL PERTURBATIONS II ANALYTIC
THEORY
MANLSCRIPTA MATH. VOL8 [1973] PP69-92 MR48#9757

[ 659 ]

REEKEN, MICHAEL
STABILITY OF CRITICAL VALUES AND ISOLATED CRITICAL CONTINUA
MANLSCRIPTA MATH. VOL12 [1974] PP163-193 MR49#6276

REISS, E. L.; GREENBERG, M. J.; KELLER, H. B.
SEE ALSO [ 302 ]
NONLINEAR DEFLECTIONS OF SHALLOW SPHERICAL SHELLS
J. AERONAUTICAL SCIENCES VOL24 NO7 [1957] PP533-543 MR19#698

REISS, E. L.; KELLER, H. B.
SEE ALSO [ 433 ]
NON-LINEAR BENDING AND BUCKLING OF CIRCULAR PLATES
PROCEEDINGS OF THE THIRD U.S. NATIONAL CONGRESS OF APPL. MECH.
BRUNN UNIVERSITY OF VINDEN, R.I. JUNE 11-14, 1958 PP375-385 A.S.
OF MECHANICAL ENGINEERS, N-Y. 1958 XXVII:844PP. MR21#840
REISS, E.L.; KELLER, H.B.
SEE ALSO L 434]
SPHERICAL CAP SNAPPING
J.AERO/SPACE SCI. VCL26 [1959] PP643-652 MR21#6808

REISS, E.L.; KELLER, H.B.; KELLER, J.B.
SEE ALSO L 435]
BUCKLED STATES OF CIRCULAR PLATES
QUART.APL.MATH. VCL20 N01 [1962] PP55-65

[ 66C]

REISS, E.L.
ON THE THEORY OF CYLINDRICAL SHELLS
QUART.J.MECH.APL.MATH. VOL15 [1962] PP325-338 MR25#4683

REISS, E.L.; NEWMAN, MALCOLM
SEE ALSO L 589]
NONLINEAR AXISYMMETRIC DEFORMATIONS OF CONICAL SHELLS
J.SCC.INDUST.APL.MATH. VOL12 [1964] PP386-402 MR29#4296

[ 661]

REISS, E.L.
BIFURCATION BUCKLING OF SPHERICAL CAPS
COMM.PURE APPL.MATH. VOL18 [1965] PP65-82 MR31#1824

REISS, E.L.; BALER, LOLIS
SEE ALSO L 54]
NONLINEAR BUCKLING OF RECTANGULAR PLATES
J.SCC.INDUST.APL.MATH. VOL13 N03 [1965] PP603-626

REISS, E.L.; BALER, FRANCES; KELLER, H.B.
SEE ALSO L 53]
BOLNARY IMPERFECTIONS IN THE BUCKLING OF SPHERICAL CAPS
SIAM J.APL.MATH. VCL15 N02 [1967] PP273-283

REISS, E.L.; BALER, LOLIS; KELLER, H.B.
SEE ALSO L 551]
AXISYMMETRIC BUCKLING OF HOLLOW SPHERES AND HEMISPHERES
COMM.PURE APPL.MATH. VOL23 [1970] PP526-568 MR43#4335

REISS, E.L.; KELLER, H.B.; CALLEGARI, ANDREI J.
SEE ALSO L 132]
MEMBRANE BUCKLING: A STUDY OF SOLUTION MULTIPLICITY
COMM.PURE APPL.MATH. VOL24 [1971] PP499-527 MR44#7818

REISS, E.L.; MATKOWSKY, BERNARD J.
SEE ALSO L 550]
NONLINEAR DYNAMIC BUCKLING OF A COMPRESSED ELASTIC COLUMN
QUART.APL.MATH. VCL29 [1971] PP245-260 MR44#3557

[ 662]

REISS, E.L.
NONLINEAR DYNAMIC STABILITY
TRANSACTIONS OF THE EIGTHEENTH CONFERENCE OF ARMY MATHEMATICIANS
(FELTMAN RES.LAB.PICATINNY ARSENAL, DCVER.N.J.[1972]) PP441-445
MR50#15527

REISS, E.L.; BALER, LOLIS; KELLER, H.B.
SEE ALSO L 56]
AXISYMMETRIC BUCKLING OF RIGIDLY CLAMPED HEMISPHERICAL SHELLS
RIEMER, DIETER; KLIPPER, TASSILC

SEE ALSO [479]

NECESSARY AND SUFFICIENT CONDITIONS FOR BIFURCATION FROM THE CONTINUOUS SPECTRUM

NONLINEAR ANAL. VOL 3 [1979] PP555-561

[664]

RINZEL, JOHN

NELTRALLY STABLE TRAVELING WAVE SOLUTIONS OF NERVE CONDUCTION EQUATIONS

J.NATH.BICL. VOL 2 [1975] PP205-217

[665]

RINZEL, JOHN

REPETITIVE ACTIVITY AND HOPF BIFURCATION UNDER POINT-STIMULATION FOR A SIMPLE FITZHUGH-NAGUM NERVE CONDUCTION MODEL

J.NATH.BICL. VOL 5 [1978] PP363-382

RIZZI, NICOLA; DI CARLO, ANTONIC; PIGNATARC, MARCELLO

SEE ALSO [239]

SYMMETRIC BIFURCATION OF PLANE FRAMES THROUGH A MODIFIED POTENTIAL ENERGY APPROACH

J.STRUCT.MECH. VOL 8 (3) PP237-255 [1980]

RIZZI, NICOLA; DI CARLO, ANTONIC; PIGNATARC, MARCELLO

SEE ALSO [240]

A PARAMETRIC POSTBUCKLING ANALYSIS OF AN ASYMMETRIC TWO-BAR FRAME

J.STRUCT.MECH. VOL 8 (4) PP435-448 [1980]

ROCKLIN, S.; IFAKTCHI, A.; OSTER, G.

SEE ALSO [393]

PHENotypic structure and bifurcation behavior of population models

THEORETICAL POPULATION BIOL. VOL 10 [1974] PP365

[666]

ROSEN, ROBERT

OBSERVATION AND BIOLOGICAL SYSTEMS

BULL.MATH.BIOLOGY VOL 39 [1977] PP663-678

[667]

ROSEN, ROBERT

BIFURCATIONS AND BIOLOGICAL OBSERVABLES

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL 316 [1979] PP178-187

ROSENBLAT, S.; LANDMAN, KERRY ANN

SEE ALSO [498]

STABILITY OF SOLUTIONS BIFURCATING FROM A MULTIPLE EIGENVALUE

APPLICABLE ANAL. VOL 7 [1977/78] NO 2 PP153-157 MR57#7282

ROSENBLAT, S.; LANDMAN, KERRY ANN

SEE ALSO [500]

BIFURCATION FROM A MULTIPLE EIGENVALUE AND STABILITY OF SOLUTIONS

SIAN J.APPL.MATH. VOL 34 [1978] NO 4 PP747-759 MR57#17421
ROSENFELD, GERALD; ANTMAN, STUART S.
SEE ALSO [ 31]
GLOBAL BEHAVIOR OF BUCKLED STATES OF NONLINEARLY ELASTIC RODS
SIAN REV. VCL2C NO3 [1978] PF513-566

[ 668]

ROSSLER, OTTO E.
CONTINUOUS CHAOS-FOUR PROTOTYPE EQUATIONS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP376-392

ROUBELLAT, FRANÇOIS; NIRA, CHRISTIAN
SEE ALSO [ 573]
ETLCE D'UN CAS CRITIQUE POUR DES RECLRENCES DU DEUXIEME ORDRE
C.R. ACAD. SCI. PARIS SER.A VOL266 (5) [1968] PF302-305

[ 669]

RLBENFELD, LESTER; STEVENS, DAN
A SIMPLE MODEL FOR PERTURBED BIFURCATION
SIAN NATIONAL MEETING [1980]

[ 670]

RLF, BERNHARD
NONLINEAR EIGENVALUES AND BIFURCATION
BOLL. UN. NAT. ITALIA A VOL18 (5) [1981] PP441-447

SALVADCRI, L.; NEGRINI, PIERC; MARCHETTI, F.; SCALIA, N.
SEE ALSO [ 539]
LIAPLNOV DIRECT METHOD IN APPROACHING BIFURCATION PROBLEMS
ANN. NAT. FLORA APPL. (IV) VOL108 PP211-225 [1976]

SALVADCRI, L.; NEGRINI, PIERC
SEE ALSO [ 584]
ATTRACTIVITY AND HOPF BIFURCATION
NONLINEAR ANAL. THEOREM. METHODS AND APPL. VOL3 NO 1 PP87-99 [1979]

SALVADCRI, L.; NEGRINI, PIERC; BERNFELD, S.R.
SEE ALSO [ 104]
STABILITY AND GENERALIZED HOPF BIFURCATION THROUGH A REDUCTION
PRINCIPLE
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE "NONLINEAR
EQUATIONS: STABILITY, INVARIANCE AND BIFURCATION" TRENTO [1980]
ED. SALVADCRI, L. DE MCTTONI, P. ACADEMIC PRESS

[ 671]

SANCHEZ, DAVID A.
AN ITERATION SCHEME FOR BOUNDARY VALUE/ALTERNATIVE PROBLEMS
NUMER. MATH. VCL23 [1974/75] FP223-230 NR51#11978

[ 672]

SATHER, DUANE F.
BRANCHING OF SOLUTIONS OF AN EQUATION IN HILBERT SPACE
ARCH.RATIONAL MECH.ANAL. VOL36 [1970] PP47-64 MR40#4828

SATHER, DUANE P.; KNIGHTLY, GEORGE H.

SEE ALSO [463]

CN NONLINEARITY OF SOLUTIONS OF THE VON KARMAN EQUATIONS

ARCH.RATIONAL MECH.ANAL. VOL36 [1970] PP65-78 MR41#6446

[673]

SATHER, DUANE F.

NONLINEAR GRADIENT OPERATORS AND THE METHOD OF LYAPUNOV-SCHMIDT

ARCH.RATIONAL MECH.ANAL. VOL43 [1971] PP222-224 MR49#5968

[674]

SATHER, DUANE F.

BRANCHING OF SOLUTIONS OF A CLASS OF NONLINEAR EQUATIONS

MATH.Z. VOL123 [1971] PP105-112 MR44#7799

SATHER, DUANE F.; GLSTAFSON, K.

SEE ALSO [325]

A BRANCHING ANALYSIS OF THE HARTREE EQUATION

REND.MAT. VOL6 NC 4 [1971/72] PP723-734 MR46#9823

SATHER, DUANE F.; GLSTAFSON, K.

SEE ALSO [326]

LARGE NONLINEARITIES AND MONOTONICITY

ARCH.RATIONAL MECH.ANAL. VOL48 [1972] PP109-122 MR49#1239

SATHER, DUANE F.; GLSTAFSON, K.

SEE ALSO [327]

LARGE NONLINEARITIES AND CLOSED LINEAR OPERATORS

ARCH.RATIONAL MECH.ANAL. VOL52 [1973] PP10-19 MR49#1251

[675]

SATHER, DUANE F.

BRANCHING OF SOLLUTIONS OF NONLINEAR EQUATIONS

ROCKY MOUNTAIN J.MATH. (ROCKY MOUNTAIN CONSORTIUM SYMPOSIUM ON

NONLINEAR EIGENVALUE PROBLEMS (SANTA FE N.M. 1971)) VOL3 [1971]

PP2C3-25C MR49#1258

SATHER, DUANE F.; KNIGHTLY, GEORGE H.

SEE ALSO [464]

NONLINEAR BUCKLED STATES OF RECTANGULAR PLATES

ARCH.RATIONAL MECH.ANAL. VOL54 [1974] PP356-372 MR50#1600

SATHER, DUANE F.; KNIGHTLY, GEORGE H.

SEE ALSO [465]

NONLINEAR AXISYMMETRIC BUCKLED STATES OF SHALLOW SPHERICAL CAPS.

SIAM J.MATH.ANAL. VOL6 [1975] NC 6 PP913-924 MR52#2351

[676]

SATHER, DUANE F.

BIFURCATION AND STABILITY FOR A CLASS OF SHELLS

ARCH.RATIONAL MECH.ANAL. VOL63 [1976/77] NO 3 PP295-304 MR55#7048

SATHER, DUANE F.; KNIGHTLY, GEORGE H.

SEE ALSO [466]

EXISTENCE AND STABILITY OF AXISYMMETRIC BUCKLED STATES OF SPHERICAL SHELLS

ARCH.RATIONAL MECH.ANAL. VOL63 [1976/77] NO 4 PP305-319 MR55#9672
[ 677 ]

SATTINGER, D.H.
A SINGULAR EIGENFUNCTION EXPANSION IN ANISOTROPIC TRANSPORT THEORY
J.MATH.ANAL.APPL. VOL 15 [1966] PP497-511 MR34#7179

[ 678 ]

SATTINGER, D.H.
THE EIGENVALLES OF AN INTEGRAL EQUATION IN ANISOTROPIC NEUTRON
TRANSPORT THEORY
J.MATH.AND PHYS. VOL45 [1966] PP188-196 MR35#3402

[ 679 ]

SATTINGER, D.H.
BIFURCATION OF PERIODIC SOLUTIONS OF THE NAVIER-STOKES EQUATIONS
ARCH.RATIONAL MECH.ANAL. VOL41 [1971] PP66-80 MR42#7138

[ 680 ]

SATTINGER, D.H.
STABILITY OF BIFURCATING SOLUTIONS BY LERAY-SCHAUDER DEGREE
ARCH.RATIONAL MECH.ANAL. VOL43 [1971] PP154-166 MR49#1259

SATTINGER, D.H.; JOSEPH, DANIEL C.
SEE ALSO [ 408 ]
BIFURCATING TIME PERIODIC SOLUTIONS AND THEIR STABILITY
ARCH.RATIONAL MECH.ANAL. VOL45 [1972] PP79-109 MR52#8682

[ 681 ]

SATTINGER, D.H.
STABILITY OF SOLUTIONS OF NONLINEAR EQUATIONS
J.MATH.ANAL.APPL. VOL39 [1972] PP1-12 MR46#4303

[ 682 ]

SATTINGER, D.H.
TRANSFORMATION GROUPS AND BIFURCATION AT MULTIPLE EIGENVALUES
BULL.AMER.MATH.SOC. VOL79 [1973] PP709-711 MR49#7861

[ 683 ]

SATTINGER, D.H.
LOSS OF STABILITY AND BIFURCATION AT A DOUBLE EIGENVALUE
J.FUNCTIONAL ANALYSIS VOL14 [1973] PP62-84 MR50#5565

[ 684 ]

SATTINGER, D.H.
TOPICS IN STABILITY AND BIFURCATION THEORY
LECTURE NOTES IN MATH. VOL309 SPRINGER-VERLAG,BERLIN [1973]
VI+190PP MR57#3569

[ 685 ]

SATTINGER, D.H.
PATTERN FORMATION IN CONVECTIVE PHENOMENA
LECTURE NOTES IN MATH. VOL565 SPRINGER-VERLAG,BERLIN [1976]
PP159-173 (TLR BULENCE AND NAVIER-STOKES EQUATIONS (PROC.CONF.UNIV.
PARIS-SUD.CRSAY,1975)) MR57#7663

[ 686 ]

SATTINGER, D.H.
SELECTION MECHANISMS FOR PATTERN FORMATION
ARCH.RATIONAL MECH.ANAL. VOL66 NO1 [1977] PP31-42
[ 687 ]

SATTINGER, D.H.
APPLICATION OF GROUP THEORETIC METHODS IN BIFURCATION THEORY
GROUP THEORETICAL METHODS IN PHYSICS ACADEMIC PRESS [1977]
NEW-YORK PP58 5-589

[ 688 ]

SATTINGER, D.H.
GROUP REPRESENTATION THEORY AND BRANCH POINTS OF NONLINEAR
FUNCTIONAL EQUATIONS
SIAN J.MATH.ANAL. VOL8 [1977] NO2 PP179-201 MR55#11297

SATTINGER, D.H., NCLEOD, J.B.
SEE ALSO [ 560 ]
GROUP REPRESENTATION THEORY, BIFURCATION THEORY AND PATTERN
FORMATION
J.FUNCTIONAL ANALYSIS VOL28 NO1 [1978] PP58-101

[ 689 ]

SATTINGER, D.H.
BIFURCATION FROM ROTATIONALLY INVARIANT STATES
J.MATHEMATICAL PHYS. VOL19 NO8 [1978] PP1720-1732

[ 690 ]

SATTINGER, D.H.
RECENT PROGRESS IN BIFURCATION THEORY
NONLINEAR ANALYSIS ACADEMIC PRESS [1978] NEW-YORK PP193-209

[ 691 ]

SATTINGER, D.H.
SPONTANEUS SYMMETRY BREAKING IN NONLINEAR PROBLEMS
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN.CE THE NEW YORK ACAD.SCI. VOL316 [1979] PP49-63

SALPE, DIETMAR; PEITGEN, HEINZ-CTTO; JURGENS, HARTMUT
SEE ALSO [ 420 ]
TOPCLOGICAL PERTURBATIONS IN THE NUMERICAL STUDY OF NONLINEAR
EIGENVALUE AND BIFURCATION PROBLEMS
ANALYSIS AND COMPUTATION OF FIXED POINTS PP139-181 [1980] ACADEMIC
PRESS

SALPE, DIETMAR; PEITGEN, HEINZ-CTTO; SCHMITT, KLAUS
SEE ALSO [ 609 ]
NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS VERSUS THEIR FINITE
DIFFERENCE APPROXIMATIONS: NUMERICALLY RELEVANT SOLUTIONS
J.REINE ANGEL.MATH. VOL322 [1981] PP74-117

[ 692 ]

SALT, JEAN-CLALDE; TEMAM, ROGER
PROPRIETES DE L'ENSEMBLE DES SOLUTIONS STATIONNAIRES OU
PERIODOIQUES DES EQUATIONS DE NAVIER-STOKES: GENERICITE PAR RAPPORT
AUX DONNEES ALY LIMITES
C.R.ACAD.SCI.PARIS SER.A-B. VOL285 [1977] NO 10 PP673-676 MR57#921

SALT, JEAN-CLALDE; NELRANT, G.
SEE ALSO [ 566 ]
BIFURCATION AND STABILITY IN A CHIMICAL SYSTEM
J.MATH.ANAL.APPL. VOL59 NO 1 [1977] PP49-92 MR57#2217
[ 693 ]

SAUT, JEAN-CLALDE; SCHEURER, BRUNO
REMARKS ON A NONLINEAR EQUATION ARISING IN POPULATION GENETICS
COMM. PARTIAL DIFFERENTIAL EQUATIONS VCI3 (10) PP907-931 [1978]

[ 694 ]

SAUT, JEAN-CLALDE; TENAM, ROGER
GENERIC PROPERTIES OF NAVIER-STOKES EQUATIONS: GENERICITY WITH
RESPECT TO THE BOUNDARY VALUES
INDIANA UNIV. MATH. J. VOL29 NO 3 PP427-446 [1980]

SCALIA, M.; NEGRINI, PIERO; MARCHETTI, F.; SALVADORI, L.
SEE ALSO [ 539 ]
LIAPLNOV DIRECT METHOD IN APPROACHING BIFURCATION PROBLEMS
ANN. NAT. FLRA APPL. (IV) VOL108 PP211-225 [1976]

SCHAEFFER, DAVID; GCLLBITSKY, MARTIN
SEE ALSO [ 290 ]
AN ANALYSIS OF IMPERFECT BIFURCATION
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP127-133

SCHAEFFER, DAVID; GCLLBITSKY, MARTIN
SEE ALSO [ 291 ]
IMPERFECT BIFURCATION IN THE PRESENCE OF SYMMETRY
COMM. MATH. PHYS. VOL67 [1979] PP205-232

SCHAEFFER, DAVID; GCLLBITSKY, MARTIN
SEE ALSO [ 292 ]
BOUNDARY CONDITIONS AND MODE JUMPING IN THE BUCKLING OF A
RECTANGULAR PLATE
COMM. MATH. PHYS. VOL69 [1979] PP209-236

SCHAEFFER, DAVID; GCLLBITSKY, MARTIN
SEE ALSO [ 293 ]
A THEORY FOR IMPERFECT BIFURCATION VIA SINGULARITY THEORY
COMM. PURE APPL. MATH. VOL32 [1979] PP1-77

SCHAEFFER, DAVID; GCLLBITSKY, MARTIN
SEE ALSO [ 294 ]
A SINGULARITY THEORY APPROACH TO STEADY-STATE BIFURCATION THEORY
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS (TO APPEAR) MARCEL
DEKKER, INC. [1980]

SCHAEFFER, DAVID; GCLLBITSKY, MARTIN; KEYFITZ, BARBARA L.
SEE ALSO [ 295 ]
A SINGULARITY THEORY ANALYSIS OF THE THERMAL CHAIN BRANCHING MODEL
FOR THE EXPLCSION PENINSULA
COMM. PURE APPL. MATH. (SUBMITTED)

SCHAEFFER, DAVID; GCLLBITSKY, MARTIN
SEE ALSO [ 297 ]
THE BENARD PROBLEM IN SPHERICAL GEOMETRY: AN EXAMPLE WITH O(3)
SYMMETRY
IN PREPARATION
SCHAEFFER,DAVID; GCLLBITSKY, MARTIN

SEE ALSO [288]

BIFLRCATION ANALYSIS NEAR A DOUBLE EIGENVALUE OF A MODEL CHEMICAL REACTION

MRC TECHNICAL REPORT #1859 ARCH. RATICNAL MECH. ANAL. (TO APPEAR)

[695]

SCHAEFFER,DAVID

QUALITATIVE ANALYSIS OF A MODEL FOR BOUNDARY EFFECTS IN THE TAYLOR
PROBLEM

PRCC.CAMB.PHIL.SCC.(TO APPEAR)

SCHECHTER,MARTIN; BERGER,MELVYN S.

SEE ALSO [88]

LP EMBEDDING AND NONLINEAR EIGENVALUE PROBLEMS FOR UNBOUNDED
DOMAINS

BULL.AMER.NATH.SCC. VOL76 [1970] PP1299-1302 MR42#2294

SCHELRER,BRLNC; SALT,JEAN-CLAUDE

SEE ALSO [693]

REMARKS ON A NONLINEAR EQUATION ARISING IN POPULATION GENETICS

COMM.PARTIAL DIFFERENTIAL EQUATIONS VCI3 (10) PP907-931 [1978]

SCHELRLE,JLRGEN; KIRCHGASSNER,KLAUS

SEE ALSO [457]

VERZWEIGLUNG LNC STABILITAT VCN LUSUNGEN SEMILINEARER ELLIPTISCHER
RANDWERTPROCELENE

JBER.DEUTSCH.NATH.-VEREIN. VCL77 H.1 [1975] PP39-54

SCHELRLE,JLRGEN; KIRCHGASSNER,KLAUS

SEE ALSO [460]

BIFLRCATION

DYNAMICAL SYSTEMS VOL1 ACADEMIC PRESS [1976] PP115-129

[696]

SCHELRLE,JLRGEN

SELECTIVE ITERATION AND APPLICATIONS

J.NATH.ANAL.APPL. VOL59 PP596-616 [1977]

[697]

SCHELRLE,JLRGEN

EIN SELEKTIVES PROJEKTIONS-ITERATIONSVERFAHREN UND ANWENDUNGEN ALF
VERZWEIGLUNGSPROCELENE

NUMER.NATH. VCL29 [1977] PP11-35

SCHELRLE,JLRGEN; KIRCHGASSNER,KLAUS

SEE ALSO [462]

ON THE BOUNDED SOLUTIONS OF A SEMILINEAR ELLIPTIC EQUATION IN A
STRIP

PREPRINT

[698]

SCHMIDT,DIEIER S.; SWEET,DANIEL

A UNIFYING THEORY IN DETERMINING PERIODIC FAMILIES FOR HAMILTONIAN
SYSTEMS AT RESONANCE

J.DIFFERENTIAL EQUATIONS VOL14 [1973] PP597-609 MR48#6563
[ 699 ]

SCHMITT, BRUNO V.

SUR L'EXISTENCE ET LA LOCALISATION DE SOLUTIONS PERIODIQUES DE
SYSTEMES DIFFERENTIELS PERIODIQUES. APPLICATION A L'EQUATION DE
DUFFING

INTERNAT. J. NON-LINEAR MECH. VOL 7 [1972] PP199-205 MR48#6556

[ 700 ]

SCHMITT, BRUNO V.

DETERMINATION A L'AIDE D'INDEX DES SOLUTIONS PERIODIQUES DE
L'EQUATION DE DUFFING X''+2X3=LAMDA CCS(T)

LECTRE ACTES IN MATH. VOL28C SPRINGER BERLIN [1972] PP330-334
(CONFERENCE ON THE THEORY OF ORDINARY AND PARTIAL DIFFERENTIAL
EQUATIONS (LNIV.DUNDEE.DUNDEE, 1972)) MR54#5546

[ 701 ]

SCHMITT, BRUNO V.

SUR DES DEFORMATIONS DE SYSTEMES DIFFERENTIELS A COEFFICIENTS
PERIODIQUES

EGLAT, DIFF. ET FCNCT. NON LINEAIRES (ACTES CONF. INTERNAT. "EQUA-DIFF
73", BRUSSELS/LCLVAIN-LA-NEUVE 1973) PP55-63 HERMANN PARIS [1973]
MR57#6660

[ 702 ]

SCHMITT, BRUNO V.

INDEX DE SEIFERT ET SYSTEMES DIFFERENTIELS A COEFFICIENTS
PERIODIGLES

THESE [1973] LNIV. STRASBOURG I. 97PP

SCHMITT, KLAUS; PEITGEN, HEINZ-CITTO

SEE ALSO [ 6081 ]

GLOBAL TOPOLGICAL PERTURBATIONS OF NONLINEAR ELLIPTIC EIGENVALUE
PROBLEMS

PREPRINT NC 405 [1980] 20PP.

SCHMITT, KLAUS; PEITGEN, HEINZ-CITTO; SALPE, DIETMAR

SEE ALSO [ 609 ]

NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS VERSUS THEIR FINITE

DIFFERENCE APPROXIMATIONS: NUMBERICALLY TRRELEVANT SOLUTIONS

J. REINE ANGEL. MATH. VOL322 [1981] PP74-117

SCHWITZ, R. A.; RENCLA, G. T.; GARRIGAN, P. C.

SEE ALSO [ 280 ]

OBSERVATIONS OF COMPLEX DYNAMIC BEHAVIOR IN THE H2-02 REACTION CN
NICKEL

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL316 [1979] PP638-651

[ 703 ]

SCHNEIDER, H.; TURNER, R. E. L.

POSITIVE EIGENVECTORS OF ORDER-PRESERVING MAPS

J. MATH. ANAL. APPL. VOL37 [1972] &8506-515 MR44#5754
[704]
SERVANGE MICHEL
UNE METHODE NUMERIQUE EN BIFURCATION- APPLICATION A UN PROBLEME A FRONTIERE LIBRE DE LA PHYSIQUE DES PLASMAS
APPL.MATH.CPTIM. VOL5 [1979] PP127-151

[705]
SERVANGE MICHEL
BIFURCATION OF FREE PLASMA EQUILIBRIA
DUKE MATH.J. VOL47 NO 4 [1980] PP923-942

[706]
SERVANGE MICHEL
ETLDE NUMERIQUE DES BIFURCATIONS ET DE LA STABILITE DES SOLUTIONS DES EQUATICAS DE GRAD-SHAFRANOV
LECTURE NOTES IN PHYSICS(TO APPEAR)

[707]
SERRE DENIS
SUR LNE EQUATION QUASILINEAIRE ELLIPTIQUE D'ORDRE 2
THESE 3EME CYCLE CRAY [1978] 68PP

SEYDEL,R.; HAZLEY,NORMAN W.
SEE ALSO 7 63
EXISTENCE AND BOUNDS FOR CRITICAL ENERGIES OF THE HARTREE OPERATOR
MATH.REPORT BATTELLE ADV.STUDIES CENTER [1973]

[708]
SHEARER M.
BIFURCATION FROM A MULTIPLE EIGENVALUE
LECTURES NOTES IN MATH. SPRINGER VOL564 BERLIN [1976] PP417-424
(PRCC.FOURTH CONF.,UNIV.DUNDEE, DUNDEE, 1976) MR58#30573

[709]
SHEARER M.
SMALL SOLUTIONS OF A NON-LINEAR EQUATION IN BANACH SPACE FOR A DEGENERATE CASE
PRCC.RCV.SCC.EDINBURGH SECT.A VOL79 [1977/78] NO 1-2 PP35-49
MR57#17428

[710]
SHEARER M.
BIFURCATION IN THE NEIGHBOURHOOD OF A NON-ISOLATED SINGULAR POINT
ISRAEL J.MATH. VOL30 [1978] NO 4 PP363-381 MR58#18547

[711]
SHEARER M.
CCINCIDENT BIFURCATION OF EQUILIBRIUM AND PERIODIC SOLUTIONS OF EVOLUTION EQUATIONS
MRC REPORT LNIV. OF WISCONSIN NO 2027 [1979] 23PP.

[712]
SHEARER M.
ONE-PARAMETER PERTURBATIONS OF BIFURCATION FROM A SIMPLE EIGENVALUE
MATH.PROC.CAMBRIDGE PHILOS.SCC. VOL88 [1980] PP111-123
[ 713 ]

SHEARER, M.
BIFURCATION OF AXISYMMETRIC BUCKLED STATES OF A THIN SPHERICAL SHELL
NONLINEAR ANALYSIS AND APPL. VOL 4 NO 4 PP699-713 [1980]

[ 714 ]

SHEARER, M.
SECONDARY BIFURCATION NEAR A DOUBLE EIGENVALUE
SIAM J. MATHEMATICS AND COMPUTER RESEARCH, VOL 11 NO 2 PP365-389 [1980]

[ 715 ]

SIJBRAND, J.
A NOTE ON THE APPLICATION OF CENTER MANIFOLDS IN BIFURCATION THEORY
SIAM NATIONAL MEETING [1980]

SIMPSON, HENRY C.; COHEN, DONALD S.; HAGAN, PATRICK S.
SEE ALSO [178]
SPATIAL STRUCTURES IN PREDATOR-PREY COMMUNITIES WITH HEREDITARY EFFECTS AND DIFFUSION
MATH.BIOSCI. VOL 44 PP167-177 [1979]

[ 716 ]

SIMPSON, HENRY C.
STABILITY OF PERIODIC SOLUTIONS OF NONLINEAR INTEGRAL DIFFERENTIAL SYSTEMS
SIAM J. APPL. MATHEMATICS AND COMPUTER RESEARCH, VOL 38 NO 3 [1980] PP341-363

SIMPSON, R. BRUCE; COHEN, DONALD S.
SEE ALSO [175]
POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
J. MATH. MECHAN. VOL 19 [1969/70] PP895-910 MR55#8525

[ 717 ]

SIMPSON, R. BRUCE
FINITE DIFFERENCE METHODS FOR MILDLY NONLINEAR EIGENVALUE PROBLEMS
SIAM J. NUMER. ANAL. VOL 8 [1970] PP190-211 MR44#3482

[ 718 ]

SIMPSON, R. BRUCE
EXISTENCE AND ERROR ESTIMATES FOR SOLUTIONS OF A DISCRETE ANALOG OF A NONLINEAR EIGENVALUE PROBLEM
MATH.COMPUT. VOL 26 [1972] PP359-375 MR47#4466

SIMPSON, R. BRUCE; HACKER, F.
SEE ALSO [329]
MULTIPLE POSITIVE SOLUTIONS OF SPHERICALLY SYMMETRIC NONLINEAR BOUNDARY VALUE PROBLEMS
J. MATH. ANALYSIS AND APPL. VOL 43 [1973] PP357-372 MR48#6661

[ 719 ]

SIMPSON, R. BRUCE
A METHOD FOR THE NUMERICAL DETERMINATION OF BIFURCATION STATES OF NONLINEAR SYSTEMS OF EQUATIONS
SIAM J. NUMER. ANAL. VOL 12 [1975] PP439-451 MR52#9595
SIVASHINSKY.G.I.; MATKOWSKY.BERNARD J.; PLTNICK.L.J.
SEE ALSO [ 554 ]
A NONLINEAR THEORY OF CELLULAR FLAMES
SIAM J.APPL.MATH. VOL 38 NO 3 [1980] PP489-504

SLEEMAN.B.D.; BRCHNE,PATRICK J.
SEE ALSC [ 125 ]
NONLINEAR MULTIPARAMETER STURM-LICUVILLE PROBLEMS
J.DIFFERENTIAL EQUATIONS VOL34 NO 1 [1979] PP139-146

SLEEMAN.B.D.; BRCHNE,PATRICK J.
SEE ALSO [ 126 ]
BIFURCATION FROM EIGENVALUES IN NON-LINEAR MULTIPARAMETER
STURM-LICLVILLE PROBLEMS
GLASGOW MATH.J. VOL21 [1980] PP85-90

SLEEMAN,B.D.; BRCHNE,PATRICK J.
SEE ALSO [ 127 ]
NON-LINEAR MULTIPARAMETER EIGENVALUE PROBLEMS FOR ORDINARY
DIFFERENTIAL EQUATIONS
J.NATH.ANAL.APPL. VOL77 PP425-432 [1980]

[ 720 ]

SMALE,STEVE
ON COMPARATIVE STATICS AND BIFURCATION IN ECONOMIC EQUILIBRIUM
THEORY
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL316 T1979] PP545-548

SCRGER.P.; KIRCHGASSNER,KLAUS
SEE ALSO [ 455 ]
BRANCHING ANALYSIS FOR THE TAYLOR PROBLEM
QUART.J.MECH.APPL.MATH. VOL22 PT.2 [1949] PP183-209

SCRGER,P.; KIRCHGASSNER,KLAUS
SEE ALSO [ 459 ]
STABILITY ANALYSIS OF BRANCHING SOLUTIONS OF THE NAVIER-STOKES
EQUATIONS
APPLIED MECHANICS (PROC.TWELFTH INTERNAT.CONGR.APPL.MATH.STANDFORD
UNIV.*#KIRCHGASSNER,KLAUS

[ 721 ]

SPARROW,C.
BIFURCATION AND CHACTIC BEHAVIOUR IN SIMPLE FEEDBACK SYSTEMS
J.THEORET.BICL. VOL83 [1980] NO 1 PP93-105

SPARROW,E.M.; JOSEPH,DANIEL D.
SEE ALSO [ 407 ]
NONLINEAR DIFFUSION INDUCED BY NONLINEAR SOURCES
QUART.APPL.MATH. VOL28 [1970] PP327-349 MR42#7153
SPENCE,ALISIAIR; MCORE,G.

SEE ALSO [581]

A CONVERGENCE ANALYSIS FOR TURNING POINTS OF NONLINEAR COMPACT OPERATOR EQUATIONS

ISAM VCL53 [1980] PP203-212 NUMERICAL TREATMENT OF INTEGRAL

EQUATIONS EDITED BY J.ALBRECHT.CLAUSTHAL-ZELLERFELD AND L.CCLLATZ.HAMBLRG BIRKHAUSER VERLAG BASEL

SPENCE,ALISTAIR; MCORE,G.

SEE ALSO [582]

THE CONVERGENCE OF APPROXIMATIONS TO NONLINEAR EQUATIONS AT SIMPLE TURNING POINTS

ISAM VCL54 [1980] PP135-146 BIFURCATION PROBLEMS AND THEIR

NUMERICAL SOLUTION EDITED BY H.D.NITTEIMANN AND H.WEBER,DORTMUND BIRKHAUSER VERLAG,BASEL

SPENCE,ALISTAIR; MCORE,G.

SEE ALSO [583]

THE CALCULATION OF TURNING POINTS OF NONLINEAR EQUATIONS

SIAM J.NLMER.ANAL. VCL17 NO 4 [1980] PP547-576

SPIEGEL,E.A.; BAKER,N.H.; MOORE,D.W.

SEE ALSO [51]

APERIODIC BEHAVIOR OF A NON-LINEAR CSCILLATOR

QUART.J.MECH.APPL.MATH. VCL24 PART4 [1971] PP391-422

SPIEGEL,E.A.; MARZEC,G.J.

SEE ALSO [548]

ORDINARY DIFFERENTIAL EQUATIONS WITH STRANGE ATTRACTORS

SIAM J.APPL.MATH. VCL38 NO 3 [1980] PP403-421

[722]

STAKGOLD,IVAR

BRANCHING OF SOLLUTIONS OF NONLINEAR EQUATIONS

SIAM REV. VCL13 [1971] PP289-332 MR45#1001

[723]

STAKGOLD,IVAR

ERRATA: "BRANCHING OF SOLUTIONS OF NONLINEAR EQUATIONS"

SIAM REV. VCL14 [1972] PP492 MR46#4305

[724]

STECH,HARLAN W.

THE HOPF BIFURCATION: A STABILITY RESULT AND APPLICATION

J.MATH.ANAL.APPL. VCL71 [1979] PP525-546

STEVENS,DAN; RLBENFELD,LESTER

SEE ALSO [669]

A SIMPLE MODEL FOR PERTURBED BIFURCATION

SIAM NATIONAL MEETING [1980]

[725]

STUART,C.A.

BIFURCATION THEORY FOR EQUATIONS WITH NONLOCAL

POTENTIALS: (CONFERENCE ON THE THEORY OF ORDINARY AND PARTIAL
DIFFERENTIAL EQUATIONS (UNIV.DUNDEE.DUNDEE 1972))

LECTURE NOTES IN MATH. VOL28C PP341-344 SPRINGER BERLIN [1972]

MR56#6026

[726]

STLART.C.A.

EXISTENCE THEORY FOR THE HARTREE EQUATION

ARCH.RATIONAL MECH.ANAL. VOL51 [1973] PP40-69 MR49#11998

[727]

STLART.C.A.

SOME BIFURCATION THEORY FOR K-SET CONTRACTIONS

PRCC.LONDON MATH.SOC. (3) VOL27 [1973] PP531-550 MR48#12178

[728]

STLART.C.A.; TCLAND.JOHN F.

A GLOBAL RESLLT APPLICABLE TO NONLINEAR STEKLOV PROBLEMS

J.DIFFERENTIAL EQUATIONS VOL15 [1974] PP247-268 MR50#1072

[729]

STUART.C.A.

CONCAVE SOLUTIONS OF SINGULAR NON-LINEAR DIFFERENTIAL EQUATIONS

MATH.Z. VOL136 [1974] PP117-135 MR49#5969

[730]

STLART.C.A.

GLOBAL PROPERTIES OF COMPONENTS OF SOLUTIONS OF NON-LINEAR SECOND

ORDER ORDINARY DIFFERENTIAL EQUATIONS ON THE HALF-LINE

ANN.SCOLA NCRV.SUP.PISA CL.SCI. (4) VOL2 [1975] NO2 PP265-286

MR52#917

[731]

STUART.C.A.

AN EXAMPLE IN NONLINEAR FUNCTIONAL ANALYSIS: THE HARTREE EQUATION

J.MATH.ANAL.APPL. VOL49 [1975] PP725-743 MR52#11685

[732]

STLART.C.A.

THE PRINCIPAL COMPONENT OF SOLUTIONS FOR NONLINEAR EIGENVALUE

PROBLEMS

BOLL.UN.NAT.ITAL.B (5) VOL13 [1976] NO3 PP726-742 MR55#3895

STLART.C.A.; RAVECHE.HARROLD J.

SEE ALSO [651]

TOWARDS A CYCLOULAR THEORY OF FREEZING. II. STUDY OF BIFURCATION

AS A FUNCTION OF DENSITY

J.CHEM.PHYS. VOL65 NO6 [1976] PP2305-2312

STLART.C.A.; RAVECHE.HARROLD J.

SEE ALSO [652]

BIFURCATION OF SOLUTIONS WITH CRYSTALLINE SYMMETRY

J.MATHEMATICAL PHYS. VOL17 [1976] NO 11 PP1949-1953 MR54#6812

[733]

STUART.C.A.

THE NUMBER OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS WITH

DISCONTINULARS NON-LINEARITIES

ARCH.RATIONAL MECH.ANAL. VOL66 [1977] NO3 PP225-235 MR57#6593
[734]

STLART.C.A.
DES BIFURCATIONS SANS VALEURS PRORES
C.R.ACAD.SCI.PARIS SER.A-B VCL284 [1977] N021 PP1373-1375
MR56#1156

STUART.C.A.; RAVECHE,HARROLD J.
SEE ALSO [653]
UNIGENESS FOR THE BBGKY HIERARCHY FOR HARD SPHERES IN ONE
DIMENSION
J.STATIST.PHYS. VOL17 NC5 [1977] PP311-321

[735]

STUART.C.A.
BIFURCATION PCLR DES PROBLEVES DE DIRICHLET ET DE NEUMANN SANS
VALELRS PRORES
C.R.ACAD.SCI.PARIS SER.A-B VCL288 [1979] PP761-764

[736]

STLART.C.A.
BIFURCATION FOR NEUMANN PROBLEMS WITHOUT EIGENVALUES
J.DIFFERENTIAL EQUATIONS VCL36 [1980] PP391-407

[737]

STLART.C.A.
BIFURCATION FOR VARIATIONAL PROBLEMS WHEN THE LINEARIZATION HAS NO
EIGENVALLES
J.FLACTICNAL ANALYSIS VOL38 PP169-187 [1980]

[738]

STLART.C.A.
A VARIATIONAL APPROACH TO BIFURCATION WITHOUT EIGENVALUES
J.FLACTICNAL ANALYSIS(TO APPEAR)

[739]

STLART.C.A.
BIFURCATION FOR DIRICHLET PROBLEMS WITHOUT EIGENVALUES
TO APPEAR

STLART.CHARLES A.; NUSSBAUM,ROGER D.
SEE ALSO [598]
A SINGULAR BIFURCATION PROBLEM
J.LONDON MATH.SCC. (2) VCL14 [1976] NC1 PP31-38 MR55#755

SWEET,DANIEL; HALE,JACK K.; BANCROFT,STEPHEN
SEE ALSO [52]
ALTERNATIVE PROBLEMS FOR NONLINEAR FLNCTIONAL EQUATIONS
J.DIFFERENTIAL EQUATIONS VOL4 [1968] PP40-56 MR36#3184

[740]

SWEET,DANIEL
AN ALTERNATIVE METHOD BASED ON APPROXIMATE SOLUTIONS
MATH.SYSTEMS THEORY VOL4 [1970] PP306-315 MR43#5371

[741]

SWEET,DANIEL
PERIODIC FAMILIES OF SYSTEMS POSSESSING A FIRST INTEGRAL
SIAM J.APPL.MATH. VOL27 [1972] PP359-372 MR47#3770
[742]

SWEET, DANIEL

PERIODIC SOLUTIONS FOR DYNAMICAL SYSTEMS POSSESSING A FIRST

INTEGRAL IN THE RESONANT CASE

J.DIFFERENTIAL EQUATIONS VCL14 [1973] PP171-183 MR48#11689

SWEET, DANIEL; SCHMIDT, DIETER S.

SEE ALSO [698]

A UNIFYING THEORY IN DETERMINING PERIODIC FAMILIES FOR HAMILTONIAN

SYSTEMS AT RESONANCE

J.DIFFERENTIAL EQUATIONS VOL14 [1973] PP597-609 MR48#6563

SWINNEY, HARRY L.; GOLLUB, J.P.

SEE ALSO [286]

CONSET OF TURBULENCE IN A ROTATING FLUID

PHYS. REV. LETTERS VOL35 NO14 [1975] PP927-930

SWINNEY, HARRY L.; GOLLUB, J.P.

SEE ALSO [287]

HYDRODYNAMICS INSTABILITIES AND THE TRANSITION TO TURBULENCE

PHYSICS TODAY [1978]

SWINNEY, HARRY L.; GOLLUB, J.P.; FENSTERMACHER, P.R.; BENSON, S.B.

SEE ALSO [79]

BIFURCATIONS TO PERIODIC, QUASIPERIODIC, AND CHAOTIC REGIMES IN

ROTATING AND CONVECTING FLUIDS

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN. OF THE NEW YORK ACADEMY OF SCI. VOL316 [1979] PP652-666

SWINNEY, HARRY L.; GOLLUB, J.P.; FENSTERMACHER, P.R.

SEE ALSO [255]

DYNAMICAL INSTABILITIES AND THE TRANSITION TO CHAOTIC TAYLOR

VORTEX FLOW

PREPRINT

TAN, J.K.Y.; THOMPSON, JOHN M.T.; LIM, K.C.

SEE ALSO [515]

ON THE TOPIC OF THE CLASSIFICATION OF POST-BUCKLING PHENOMENA

OF THE STRONGLINEAR MECHANICS (TO APPEAR)

TARTAR, LUC; RABINCHWITZ, PALL H.; CRANDALL, M.G.

SEE ALSO [192]

ON A DIRICHLET PROBLEM WITH A SINGULAR NONLINEARITY

COMM. PARTIAL DIFFERENTIAL EQUATIONS VOL2 NO2 [1977] PP193-222

MR55#856

TAVANTZIS, JOHN; MATKOWSKY, BERNARD J.; REISS, E.L.

SEE ALSO [553]

ON THE SMOOTH TRANSITION TO CONVECTION

SIAM J. APPL. MATHEMATICS VOL34 NO2 [1978] PP322-337

TEBALDI, CLAUDE; FRANCESCHINI, VALTER

SEE ALSO [274]

SEQUENCES OF INFINITE BIFURCATIONS AND TURBULENCE IN A FIVE-MODE
TRUNCATION OF THE NAVIER-STOKES EQUATIONS
J.STATIST.PHYS. VOL21 NO 6 [1979] PP707-726

TEBALDI, CLAUDIC; FRANCESCHINI, VALTER
SEE ALSO [ 277 ]

A SEVEN-NODE TRUNCATION OF THE PLANE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
PREPRINT

TEMAN, ROGER; SALT, JEAN-CLAUDE
SEE ALSO [ 692 ]

PROPRIETES DE L'ENSEMBLE DES SOLUTIONS STATIONNAIRES OU PERIODIQUES DES EQUATIONS DE NAVIER-STOKES:GENERICITE PAR RAPPORT AUX DONNEES AUX LIMITES

C.R.ACAD.SCI.PARIS SER.A-B. VOL285 [1977] NO 10 PP673-676 MR57#921

TEMAN, ROGER; SALT, JEAN-CLAUDE
SEE ALSO [ 694 ]

GENERIC PROPERTIES OF NAVIER-STOKES EQUATIONS:GENERICITY WITH RESPECT TO THE BOUNDARY VALUES

INDIANA UNIV.MATH.J. VOL29 NO 3 PP427-446 [1980]

TESEI, A.; NEGRINI, FIERO
SEE ALSO [ 585 ]

ATTRACTIVITY AND HOPF BIFURCATION IN BANACH SPACES

J.MATH.ANAL.APPL. VOL78 PP204-221 [1980]

THOMAS, D.; KERNEVEZ, J.P.; JOLY, G.; DUBAN, N.C.; BUNCW, B.
SEE ALSO [ 129 ]

MORPHOGENESE DANS UN SYSTEME DE DIFFUSION-REACTION
J.PHYSIQUE CCLLCQUE C5 SUPPL. NO 2 VOL 39 [1978] PP1-2

THOMAS, D.; KERNEVEZ, J.P.; JOLY, G.; DUBAN, N.C.; BUNCW, B.
SEE ALSO [ 130 ]

HYSTERESIS, CSCILLATIONS, AND PATTERN FORMATION IN REALISTIC INMOBILIZED ENZYME SYSTEMS

J.MATH.BICL. VOL7 PP41-56 [1979]

THOMAS, D.; KERNEVEZ, J.P.; JOLY, G.
SEE ALSO [ 396 ]

PATTERN FORMATION BY REACTION-DIFFUSION INSTABILITIES:APPLICATION TO KAUFFMAN'S MODEL FOR MORPHOGENESIS IN DROSOPHILA

PREPRINT

THOMPSON, JOHN M.T.; HUNT, GILES W.
SEE ALSO [ 373 ]

A GENERAL THEORY OF ELASTIC STABILITY
WILEY-INTERSCIENCE [JOHN WILEY & SONS] LONDON-NEW-YORK-SYDNEY [1973] 322PP MR57#4698

[ 743 ]

THOMPSON, JOHN M.T.
EXPERIMENTS IN CATASTROPHE

NATURE VOL254 NO5499 PP392-395 [1975]
THOMPSON, JOHN M.T.; HUNT, GILES W.
SEE ALSO [374]
TOWARDS A UNIFIED BIFURCATION THEORY
Z. ANGELM. MATH. PHYS. VOL 26 [1975] NO 5 PP581-603 MR52#9277

THOMPSON, JOHN M.T.; GASPAR, Z.
SEE ALSO [281]
A BLOCKLING MODEL FOR THE SET OF UMBILIC CATASTROPHES
MATH. PROC. CAMBRIDGE PHILOS. SCIENCE. VOL 82 [1977] PP497-507

THOMPSON, JOHN M.T.; HUNT, GILES W.
SEE ALSO [375]
A BIFURCATION THEORY FOR THE INSTABILITIES OF OPTIMIZATION AND
DESIGN.
MATHEMATICAL METHODS OF THE SOCIAL SCIENCES. SYNTHESIS VOL 36 NO 3
[1977] PP315-351 MR57#18420

[744]

THOMPSON, JOHN M.T.
BIFURCATIONAL ASPECTS OF CATASTROPHE THEORY
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW
YORK 1977) ANN. OF THE NEW YORK ACAD. SCI. VOL 316 [1979] PP553-571

THOMPSON, JOHN M.T.; TAN, J.K.Y.; LIM, K.C.
SEE ALSO [515]
ON THE TOPOLOGICAL CLASSIFICATION OF POST-BUCKLING PHENOMENA
J. OF STRUCTURAL MECH. (TO APPEAR)

THURBER, JAMES K.; NICOLAENKO, BASIL
SEE ALSO [591]
WEAK SHOCK AND BIFURCATING SOLUTIONS OF THE NON-LINEAR BOLTZMANN
EQUATION
J. MECHANIC VCL 14 NO 2 [1975] PP305-338 MR52#4813

[745]

THURSTON, G. A.
A NONLINEAR SOLUTION OF THE NON LINEAR EQUATIONS FOR AXISYMMETRIC
BENDING OF SHALLCWA SPHERICAL SHELLS
TRANS. ASME SER. E. J. APPL. MECH. VOL 28 [1961] PP557-562 MR26#5792

[746]

THURSTON, G. A.
CONTINUATION OF NEWTON'S METHOD THROUGH BIFURCATION POINTS
TRANS. ASME SER. E. J. APPL. MECH. VOL 36 [1969] PP425-430

[747]

TCLAND, JOHN F.
ASYMPTOTIC LINEARITY AND NONLINEAR EIGENVALUE PROBLEMS
GUARTE. J. MATH. OXFORD SER. (2) VOL 24 [1973] PP241-250 MR48#12188

TCLAND, JOHN F.; STLART, C.A.
SEE ALSO [728]
A GLOBAL RESULT APPLICABLE TO NONLINEAR STEKLOV PROBLEMS
J. DIFFERENTIAL EQUATIONS VOL 15 [1974] PP247-268 MR50#1072
[748]

TCLAND, JOHN F.
ASYMPTOTIC LINEARITY AND A CLASS OF NONLINEAR STURM-LIQUVILLE PROBLEMS ON THE HALF-LINE, ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS (PRCC.CONF.UNIV.DUNDEE,DUNDEE,1974)
LECTURE NOTES IN MATH. VOL45 PP429-437 SPRINGER,BERLIN [1974] MR55#3896

[749]

TCLAND, JOHN F.
BIFURCATION AND ASYMPPTOTIC BIFURCATION FOR NON-COMPACT NON-SYMMETRIC GRADIENT OPERATORS
PRCC.RCY.SCC.ECINBURGH SECT.A VOL73 [1975] PP137-147 MR52#6518

[750]

TCLAND, JOHN F.
GLOBAL BIFURCATION FOR K-SET CONTRACTIONS WITHOUT MULTIPLICITY ASSUMPTIONS
QUART.J.MATH.CXFCRD SER. (2) VOL27 [1976] NO106 PP199-216 MR53#8986

[751]

TCLAND, JOHN F.
ASYMPTOTIC LINEARITY AND NONLINEAR EIGENVALUE PROBLEMS, II.
PRCC.ROY.IRISH ACAD.SECT.A VOL77 [1977] NO1 PP1-12 MR55#12989

[752]

TCLAND, JOHN F.
CORRIGENDUM: "GLOBAL BIFURCATION FOR K-SET CONTRACTIONS..."
QUART.J.MATH.CXFCRD SER. (2) VOL28 [1977] NO110 PP255 MR56#13012

TRESSER, CHARLES; LANGFORD, W. F.; ARNEDCDC, A.; COULLET, PIERRE; COSTE, JEAN

SEE ALSO [39]
A MECHANISM FOR A SOFT MODE INSTABILITY
PHYS.LETT.A. VOL78 NO 1 [1980] PP11-14

TRICKETT, JOHN K.; GUNOWSKI, IGOR
SEE ALSO [315]
SUR LES BIFURCATIONS LIEES ALIX CAS D'EXCEPTION D'UNE RECURRENCE
CONSERVATIVE DE CEUXIEME ORDRE
C.R.ACAD.SCI.PARIS SER.A VOL275 [1972] PP147-149 MR47#4471

TRONEL, GERARD; ICCSS, GERARD
SEE ALSO [383]
EXEMPLES DE BIFURCATION
C.R.ACAD.SCI.PARIS SER.A-B VOL276 [1973] PP1353-1356 MR47#7535

[753]

TROY, WILLIAM C.
BIFURCATION PHENOMENA IN FITZHUGH'S NERVE CONDUCTION EQUATIONS
J.MATH.ANAL.APPL. VOL54 [1976] PP678-690

[754]

TROY, WILLIAM C.
THE BIFURCATION OF PERIODIC SOLUTIONS IN THE HODGKIN-HUXLEY
EQUATIONS

QUART APPL MATH VOL36 NO 1 FP73-83 [1978]

TRUE,HANS; MERFCRT.P.

SEE ALSO [337]

BIFURCATION AND NON-LINEAR STABILITY OF SOLUTIONS OF THE

QUASI-GEOSTRUCTURAL EQUATION

GERLANDS BEITR.GEOPHYSIK.LEIFZIG VOL96 [1977] NO6 PP425-442

[755]

TRUE,HANS

BRANCHING SOLUTIONS OF NONLINEAR EQUATIONS AND THEIR STABILITY AS

APPLIED TO THE THEORY OF HEAT AND MASS EXCHANGE

METALURGIA I COLENICTVO VOL3 NO1 [1977] PP87-97

TRUE,HANS; ICCSS.GERARD; NIELSEN.H.B.

SEE ALSO [389]

BIFURCATION OF THE STATIONARY EKMAN FLOW IN A STABLE PERIODIC FLOW

ARCH.RATIONAL MECH.ANAL.VOL68 NO3 [1978] PP227-256

[756]

TRUE,HANS

BRANCHING SOLUTIONS OF NONLINEAR EQUATIONS AND THEIR STABILITY AS

APPLIED TO THE THEORY OF COMBUSTION PROCESS PART II

METALURGIA I COLENICTVO VOL4 NO1 [1978] PP37-70

TURNER.J.W.; NICCLIS.G.

SEE ALSO [593]

EFFECT OF FLOWLATIONS ON BIFURCATION PHENOMENA

BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW

YORK 1977) ANN OF THE NEW YORK ACAD.SCI. VOL316 [1979] PP251-262

[757]

TURNER.R.E.L.

SOME VARIATIONAL PRINCIPLES FOR A NONLINEAR EIGENVALUE PROBLEM

J.NATH.ANAL.APPL.VOL17 [1967] PP151-160 MR55#788

[758]

TURNER.R.E.L.

A CLASS OF NONLINEAR EIGENVALUES PROBLEMS

J.FUNCTIONAL ANALYSIS VOL2 [1968] PP297-322 MR38#1546

[759]

TURNER.R.E.L.

NONLINEAR EIGENVALUE PROBLEMS WITH NONLOCAL OPERATORS

COMM.PURE APPL.MATH. VOL23 PP963-972 [1970] MR42#8214

[760]

TURNER.R.E.L.

NONLINEAR EIGENVALUES PROBLEMS WITH APPLICATIONS TO ELLIPTIC

EQUATIONS

ARCH.RATIONAL MECH.ANAL. VOL42 [1971] PP184-193 MR49#7863

[761]

TURNER.R.E.L.

TRANSVERSALITY IN NONLINEAR EIGENVALUE PROBLEMS

CONTRIBUTION TO NONLINEAR FUNCTIONAL ANALYSIS
(PRCC.SYMPCS.MATH RES.CENTER,UNIV,WISCONSIN,MADISON,WIS.1971)
PP37-68 ACADEMIC PRESS NEW-YORK [1971] MR53#6383

[762]

TURNER,R.E.L.
NONLINEAR STURM-LICUVILLE PROBLEMS
J.DIFFERENTIAL EQUATIONS VOL10 [1971] PP14--146 MR44#522

TURNER,R.E.L.; SCHNEIDER,H.
SEE ALSO [703]
POSITIVE EIGENVECTORS OF ORDER-PRESERVING MAPS
J.MATH.ANAL.APPL. VCL37 [1972] &8506-515 MR44#5754

[763]

TURNER,R.E.L.
SUPERLINEAR STURM-LICUVILLE PROBLEMS
J.DIFFERENTIAL EQUATIONS VOL13 [1973] PP157-171 MR48#8947

[764]

TURNER,R.E.L.
A PRIORI BOUNDS FOR POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN TWO VARIABLES
DUKE MATH.J. VCL41 N04 [1974] PP759-774 MR51#1113

[765]

TURNER,R.E.L.
POSITIVE SOLUTIONS OF NONLINEAR EIGENVALLE PROBLEMS
EIGENVALLES OF NON-LINEAR PROBLEMS CINE VARENNA, ITALY [1974]

[766]

TURNER,R.E.L.
TRANSVERSALITY AND CONE MAPS
ARCH.RATIONAL MECH.ANAL. VCL58 [1975] PP151-179 MR52#9026

TURNER,R.E.L.; KLIPER,H.J.
SEE ALSO [475]
STURM-LICUVILLE PROBLEMS WITH PRESCRIBED NONLINEARITIES
QUART.J.MATH.CXFCRD SER. VCL26 N0104 [1975] PP491-505 MR53#5981

[767]

TURNER,R.E.L.
BIFURCATION FOR NON-DIFFERENTIABLE OPERATORS WITH AN APPLICATION TO ELASTICITY
ARCH.RATIONAL MECH.ANAL. VCL63 N01 [1976] PP1-45

TURNER,R.E.L.; BREZIS,H.
SEE ALSO [121]
ON A CLASS OF SUPERLINEAR ELLIPTIC PROBLEMS
COMM.PARTIAL DIFFERENTIAL EQUATIONS VCL2 N00 PP601-604 [1977]

[768]

TYSON,JOHN J.
OSCILLATIONS,BISTABILITY AND ECHO WAVES IN MODELS OF THE BELCLSV-ZHABCTIANSKII REACTION
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC DISCIPLINES (NEW YORK 1977) ANN.CF THE NEW YORK ACAD.SCI. VOL36 [1979] PP279-295