bluuebunny/crossref_metadata_2025 huggingface dataset:
Biochemical-Genetic Analysis and Distribution of DES-1, an Ambler Class A Extended-Spectrum β-Lactamase from
Desulfovibrio desulfuricans
Authors: Morin Anne-Sophie , Poirel Laurent , Mory Francine , Labia Roger , Nordmann Patrice
Published: September 2002

Desulfovibrio
spp. are gram-negative anaerobes phylogenetically related to
Bacteroides
spp., which are rarely isolated and which are mostly isolated from intra-abdominal abscesses.
Desulfovibrio desulfuricans
clinical isolate D3 had a clavulanic acid-inhibited β-lactam resistance profile and was resistant to some expanded-spectrum cephalosporins. A β-lactamase gene,
bla
DES-1
, was cloned from whole-cell DNA of isolate D3 and expressed in
Escherichia coli
. Purified β-lactamase DES-1, with a pI value of 9.1, had a relative molecular mass of ca. 31 kDa and a mature protein of 288 amino acids. DES-1 was distantly related to Ambler class A β-lactamases and most closely related to PenA from
Burkholderia pseudomallei
(48% amino acid identity). It was weakly related to class A β-lactamases CblA, CepA, CfxA, and CfxA2 from other anaerobic species,
Bacteroides
spp. and
Prevotella intermedia
. Its hydrolysis spectrum included amino- and ureidopenicillins, narrow-spectrum cephalosporins, ceftriaxone, and cefoperazone.
bla
DES-1
-like genes were not identified in phylogenetically related
Desulfovibrio fairfieldensis
isolates. However, they were found in some but not all
D. desulfuricans
strains, thus suggesting that these genes may be present in a given
D. desulfuricans
subspecies.
Intracellular Accumulation of Human Immunodeficiency Virus Protease Inhibitors
Authors: Khoo Saye H. , Hoggard Patrick G. , Williams Ian , Meaden E. Rhiannon , Newton Philippa , Wilkins Edmund G. , Smith Alan , Tjia John F. , Lloyd Judy , Jones Kevin , Beeching Nick , Carey Peter , Peters Barry , Back David J.
Published: September 2002

Intracellular accumulation of the protease inhibitors (PIs) saquinavir (SQV), ritonavir (RTV), and indinavir (IDV) was determined in 50 human immunodeficiency virus-positive patients. Following extraction, PIs were quantified by mass spectrometry. Paired plasma and intracellular samples were collected over a full dosing interval from patients (13 on SQV, 6 on RTV, 8 on IDV, 16 on SQV plus RTV, 7 on IDV plus RTV) with a plasma viral load of <400 copies/ml. Data were expressed as intracellular/plasma drug concentration ratios. A hierarchy of intracellular accumulation was demonstrated by the following medians: 9.45 for SQV > 1.00 for RTV > 0.51 for IDV. Coadministration of RTV did not boost ratios of SQV or IDV within the cell or in plasma, although absolute plasma and intracellular SQV concentrations were increased by RTV. Seven individuals receiving SQV in hard-gel capsule form (median, 32 months) had higher intracellular/plasma drug ratios than all other patients receiving SQV (median, 17.62 versus 4.83;
P
= 0.04), despite consistently low plasma SQV concentrations. How this occurs may provide insight into the mechanisms that limit adequate drug penetration into sanctuary sites.
Prospective, Multicenter Surveillance Study of
Candida glabrata
: Fluconazole and Itraconazole Susceptibility Profiles in Bloodstream, Invasive, and Colonizing Strains and Differences between Isolates from Three Urban Teaching Hospitals in New York City (
Candida
Susceptibility Trends Study, 1998 to 1999)
Authors: Safdar Amar , Chaturvedi Vishnu , Koll Brian S. , Larone Davise H. , Perlin David S. , Armstrong Donald
Published: September 2002

Since the 1990s, the substantial increase in the rate of
Candida glabrata
infections has become a serious problem. As most
C. glabrata
infections arise from the host's endogenous microflora, the present prospective, multicenter analysis included all clinical isolates associated with colonization and with systemic and hematogenous candidiasis. Among 347
C. glabrata
isolates, the overall rates of resistance to fluconazole (MIC ≥ 64 μg/ml) and itraconazole (MIC ≥ 1 μg/ml) were 10.7 and 15.2%, respectively, although for half (
n
= 148) of the itraconazole-susceptible isolates the MICs (0.25 to 0.5 μg/ml) were in the susceptible—dependent upon dose range. Fluconazole resistance was more common among
C. glabrata
isolates obtained from centers caring for patients with cancer (MICs at which 90% of isolates are inhibited [MIC
90
s] = 32 μg/ml) or AIDS (MIC
90
s > 64 μg/ml) than among
C. glabrata
isolates from a community-based university medical center (MIC
90
s = 16 μg/ml) (
P
= 0.001). Thirty-three bloodstream isolates and those obtained from other body sites had similar in vitro susceptibility profiles. The fluconazole MIC
90
s (≤16 μg/ml) for
C. glabrata
yeast isolates from the gastrointestinal tract were lower than those (≥64 μg/ml) for
C. glabrata
isolates from respiratory and urinary tract samples (
P
= 0.01). A similar discrepancy for itraconazole was not significant (
P
> 0.5). We did not observe differences in fluconazole or itraconazole susceptibility profiles among
C. glabrata
isolates associated with either hematogenous dissemination or colonization. The significant discrepancy in antifungal susceptibility among
C. glabrata
organisms isolated from hospitals in the same geographic region emphasizes the significance of periodic susceptibility surveillance programs for individual institutions, especially those providing care to patients at risk.
In Vitro Activities of Newer Quinolones against
Bacteroides
Group Organisms
Authors: Snydman D. R. , Jacobus N. V. , McDermott L. A. , Ruthazer R. , Goldstein E. , Finegold S. , Harrell L. , Hecht D. W. , Jenkins S. , Pierson C. , Venezia R. , Rihs J. , Gorbach S. L.
Published: September 2002

The activities of BMS-284576, clinafloxacin, moxifloxacin, sitafloxacin, trovafloxacin, imipenem, cefoxitin, and clindamycin against 589
Bacteroides fragilis
group isolates were determined. The activity of BMS-284576 was comparable to that of trovafloxacin. Sitafloxacin and clinafloxacin were the most active quinolones, and moxifloxacin was the least active.
B. fragilis
was the most susceptible of the species, and
Bacteroides vulgatus
was the most resistant. Association of specific antibiotic resistance with
Bacteroides
species was noted for all quinolones.
Simple Method for Assaying Colistin Methanesulfonate in Plasma and Urine Using High-Performance Liquid Chromatography
Authors: Li Jian , Milne Robert W. , Nation Roger L. , Turnidge John D. , Coulthard Kingsley , Valentine Jason
Published: September 2002

A simple and sensitive high-performance liquid chromatographic method is described for the determination of colistimethate sodium in plasma and urine. The accuracy and reproducibility was within 10.1 and 11.2% with rat plasma and urine, respectively. Several commonly coadministered antibacterial agents do not interfere with the assay.
Inducible AmpC β-Lactamase of a New Member
Enterobacteriaceae
Authors: Bonnet Richard , Chanal Catherine , Ageron Elisabeth , Sirot Danielle , De Champs Christophe , Grimont Patrick , Sirot Jacques
Published: September 2002

Extensive biochemical testing and 16S rRNA and
rpoB
sequence analysis revealed that clinical strain CF01Ent1, initially identified as
Buttiauxella agrestis
by the use of Api 32 biochemical strips, is a new organism in the
Enterobacteriaceae
family. It produced an inducible AmpC-type β-lactamase whose sequence shares 69 to 72% identity with those of the other AmpC-type β-lactamases of
Enterobacteriaceae
. This enzyme exhibits an atypical high affinity for all β-lactams tested.
AN EXPERIMENTALIST'S VIEW OF DISCRETE AND CONTINUOUS CASCADE MODELS IN FULLY DEVELOPED TURBULENCE
Authors: GREINER M. , JOUAULT B.
Published: September 2002

In standard experiments, time series of fully developed turbulent fields are recorded in one point, which according to the frozen flow hypothesis can be interpreted as an instantaneous one-dimensional spatial section through a three-dimensional field. This observational reduction in dimensions is absolutely necessary to be taken into account for the explanation of observed multiplier correlations in the energy dissipation field. We demonstrate this for discrete and continuous multiplicative cascade processes, which are empirically known to describe the multifractal energy flux from integral to dissipation scales.
RESONANT OPTICS OF FRACTALS
Authors: SHALAEV VLADIMIR , MARKEL V. A. , SAFONOV V. P. , BOTET R.
Published: September 2002

Fractal objects can sustain strongly localized optical modes with high quality-factor. Intense local fields associated with the dipolar eigenmodes in fractals ultimately result in significant enhancement of a number of optical effects. In particular, such basic optical processes as Rayleigh and Raman scattering, degenerate four-wave mixing and harmonic generation, two-photon absorption and non-linear photoemission can be enhanced by several orders of magnitude in small-particle fractal composites and self-affine films.
An irreducible Heegaard diagram of the real projective 3‐space p3
Authors: Im Young Ho , Kim Soo Hwan
Published: September 2002

We give a genus 3 Heegaard diagram H of the real projective space p3, which has no waves and pairs of complementary
handles. So Negami′s result that every genus 2 Heegaard diagram
of p3 is reducible cannot be extended to Heegaard diagrams of
p3 with genus 3.
The matching polynomial of a distance‐regular graph
Authors: Beezer Robert A. , Farrell E. J.
Published: September 2002

A distance‐regular graph of diameter d has 2d intersection numbers that determine many properties of graph (e.g., its spectrum). We show that the first six coefficients of the matching
polynomial of a distance‐regular graph can also be determined from
its intersection array, and that this is the maximum number of
coefficients so determined. Also, the converse is true for
distance‐regular graphs of small diameter—that is, the
intersection array of a distance‐regular graph of diameter 3 or
less can be determined from the matching polynomial of the graph.
A generalized Hankel convolution on Zemanian spaces
Authors: Betancor Jorge J.
Published: September 2002

We define a new generalized Hankel convolution on
the Zemanian distribution spaces of slow growth.
A note on a result of Singh and Kulkarni
Authors: Fang Mingliang
Published: September 2002

We prove that if f is a transcendental meromorphic function of
finite order and ∑a≠∞δ(a, f) + δ(∞, f) = 2, then

, where

This result improves a result by Singh and Kulkarni.
Interpolation by multipliers on certain spaces of analytic functions
Authors: Mosaleheh K. , Seddighi K.
Published: September 2002

Let ℋ be a Hilbert space of analytic
functions on a planar domain G such that, for each λ in G,
the linear functional eλ of evaluation at λ is bounded on
ℋ. Furthermore, assume that zℋ ⊂ ℋ and
is an M‐spectral set for Mz,
the operator of multiplication by z. This paper is devoted to the study of
interpolation by multipliers of the space ℋ and, in particular,
the Dirichlet space.
Laplace transform of certain functions with applications
Authors: Chaudhry M. Aslam
Published: September 2002

The Laplace transform of the functions tν(1+t)β, Reν > −1, is expressed in terms of Whittaker functions. This
expression is exploited to evaluate infinite integrals involving
products of Bessel functions, powers, exponentials, and
Whittaker functions. Some special cases of the result
are discussed. It is also demonstrated that the famous identity is a special case of our
main result.
One‐sided Lebesgue Bernoulli maps of the sphere of degree n2 and 2n2
Authors: Barnes Julia A. , Koss Lorelei
Published: September 2002

We prove that there are families of rational maps of the sphere of
degree n2(n = 2, 3, 4, …) and 2n2(n = 1, 2, 3, …) which,
with respect to a finite invariant measure equivalent to the
surface area measure, are isomorphic to one‐sided Bernoulli shifts
of maximal entropy. The maps in question were constructed by
Böettcher (1903‐‐1904) and independently by Lattès (1919).
They were the first examples of maps with Julia set equal to the
whole sphere.
Differential subordinations for fractional‐linear transformations
Authors: Kim Yong Chan , Lecko Adam , Choi Jae Ho , Saigo Megumi
Published: September 2002

We establish that the differential subordinations of the forms
p(z) + γzp′(z)≺h(A1, B1; z) or p(z) + γzp′(z)/p(z)≺h(A2, B2; z) implies p(z)≺h(A, B; z), where
γ ≥ 0 and h(A, B; z) = (1 + Az)/(1 + Bz) with
−1 ≤ B < A.
On a class of univalent functions
Authors: Singh Vikramaditya
Published: September 2002

We consider the class of univalent functions
f(z) = z + a3z3 + a4z4 + ⋯ analytic in the unit disc and
satisfying |(z2f′(z)/f2(z)) − 1 | < 1, and show that such functions are starlike if they satisfy
.
Lacunary statistical convergence and inclusion properties between lacunary methods
Authors: Li Jinlu
Published: September 2002

A lacunary sequence is an increasing integer sequence θ = {kr} such that kr − kr−1 → ∞ as
r → ∞. A sequence x is called sθ‐convergent to
L provided that for each ϵ > 0, limr(1/(kr − kr−1)){the number of   kr−1 < k ≤ kr : |xk − L| ≥ ϵ} = 0. In this paper, we study the
general description of inclusion between two arbitrary lacunary
sequences convergent.
Rayleigh waves in a thermoelastic granular medium under initial stress
Authors: Ahmed S. M.
Published: September 2002

We study the effect of initial stress on the propagation of
Rayleigh waves in a granular medium under incremental thermal
stresses. We also obtain the frequency equation, in the form of a
twelfth‐order determinantal expression, which is in agreement with
the corresponding classical results.
Conditional generalized analytic Feynman integrals and a generalized integral equation
Authors: Chang Seung Jun , Kang Soon Ja , Skoug David
Published: September 2002

We use a generalized Brownian motion process to define a
generalized Feynman integral and a conditional generalized Feynman
integral. We then establish the existence of these integrals for
various functionals. Finally we use the conditional generalized
Feynman integral to derive a Schrödinger integral equation.
A note on Raghavan‐Reilly′s pairwise paracompactness
Authors: Kovár Martin M.
Published: September 2002

The bitopological unstability of RR‐pairwise paracompactness in
presence of pairwise Hausdorff separation axiom is caused by a
bitopological property which is much weaker and more local than
RR‐pairwise paracompactness. We slightly generalize some
Michael′s constructions and characterize RR‐pairwise
paracompactness in terms of bitopological θ‐regularity, and
some other weaker modifications of pairwise paracompactness.
Complete convergence for sums of arrays of random elements
Authors: Sung Soo Hak
Published: September 2002

Let {Xni} be an array of rowwise independent B‐valued
random elements and {an} constants such that
0 < an↑∞. Under some moment conditions for the array,
it is shown that converges to 0 completely if and only if converges to
0 in probability.
On the numerical treatment of the contact problem
Authors: Badr Abdallah A.
Published: September 2002

The problem of the contact of two elastic bodies
of arbitrary shape with a kernel in the form of a logarithmic
function—which is investigated from Hertz problem—is reduced to
an integral equation. A numerical method is adapted to determine
the pressure between the two surfaces under certain conditions.
A note on Kakutani type fixed point theorems
Authors: Khan A. R. , Hussain N. , Khan L. A.
Published: September 2002

We present Kakutani type fixed point theorems for certain
semigroups of self maps by relaxing conditions on the underlying
set, family of self maps, and the mappings themselves in a locally
convex space setting.
The product of r−k and ∇δ on ℝm
Authors: Li C. K.
Published: September 2002

In the theory of distributions, there is a general lack of
definitions for products and powers of distributions. In physics
(Gasiorowicz (1967), page 141), one finds the need to evaluate
δ2 when calculating the transition rates of certain
particle interactions and using some products such as
(1/x) · δ. In 1990, Li and Fisher introduced a
“computable” delta sequence in an m‐dimensional space to obtain
a noncommutative neutrix product of r−k and Δδ (Δ denotes the Laplacian) for any
positive integer k between 1 and m − 1 inclusive. Cheng and
Li (1991) utilized a net δϵ(x) (similar to the
δn(x)) and the normalization procedure of to deduce a commutative neutrix product of
r−k and δ for any positive real number k. The object
of this paper is to apply Pizetti′s formula and the normalization
procedure to derive the product of r−k and ∇δ (∇ is the gradient operator) on ℝm. The nice properties
of the δ‐sequence are fully shown and used in the proof of
our theorem.
A note on centralizers
Authors: Bell Howard E.
Published: September 2002

For prime rings R, we characterize the set U∩CR([U, U]),
where U is a right ideal of R; and we apply our result to
obtain a commutativity‐or‐finiteness theorem. We include extensions
to semiprime rings.
Finite‐rank intermediate Hankel operators on the Bergman space
Authors: Nakazi Takahiko , Osawa Tomoko
Published: September 2002

Let L2 = L2(D, r dr dθ/π) be the Lebesgue space on the
open unit disc and let
be the Bergman
space. Let P be the orthogonal projection of L2 onto and let Q be the orthogonal projection onto . Then I − P ≥ Q. The big Hankel operator and the small
Hankel operator on are defined as: for ϕ in L∞, and . In this paper, the finite‐rank intermediate
Hankel operators between and are studied. We are working on the
more general space, that is, the weighted Bergman space.
Approximating fixed points of nonexpansive type mappings
Authors: Pathak Hemant K. , Khan Mohammad S.
Published: September 2002

In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for nonexpansive type mappings under certain conditions.
On the structure of the totally ordered set of unimodal cycles
Authors: Mulvey Irene
Published: September 2002

We continue the study of a class of unimodal cycles where each
cycle in the class is forced by every unimodal cycle not in the
class. For every order, we identify the cycle in the class of that
order, which is maximal with respect to the forcing relation.
Peristaltic viscoelastic fluid motion in a tube
Authors: Elshehawey Elsayed F. , Sobh Ayman M. F.
Published: September 2002

Peristaltic motion of viscoelastic incompressible fluid in an axisymmetric tube with a sinusoidal wave is studied theoretically in the case that the radius of the tube is small
relative to the wavelength. Oldroyd flow has been considered in this study and the problem is formulated and analyzed using a perturbation expansion in terms of the variation of the wave number. This analysis can model the chyme movement in the small intestine by considering the chyme as an Oldroyd fluid. We found out that the pumping rate of Oldroyd fluid is less than that for a Newtonian fluid. Further, the effects of Reynolds number, Weissenberg
number, amplitude ratio and wave number on the pressure rise and friction force have been discussed. It is found that the pressure rise does not depend on Weissenberg number at a certain value of flow rate. The results are studied for various values of the physical parameters of interest.
Cubic Extensions of Flag‐Transitive Planes, I. Even Order
Authors: Hiramine Yutaka , Jha Vikram , Johnson Norman L.
Published: September 2002

The collineation groups of even order translation planes which are
cubic extensions of flag‐transitive planes are determined.
Kreĭn′s trace formula and the spectral shift function
Authors: Boyadzhiev Khristo N.
Published: September 2002

Let A, B be two selfadjoint operators whose difference B − A is
trace class. Kreĭn proved the existence of a certain function ξ ∈ L1(ℝ) such that tr[f(B) − f(A)] = ∫ℝf′(x)ξ(x)dx for a large set of functions f. We give here a new proof of this
result and discuss the class of admissible functions. Our proof is
based on the integral representation of harmonic functions on the
upper half plane and also uses the Baker‐Campbell‐Hausdorff
formula.
On holomorphic extension of functions on singular real hypersurfaces in ℂn
Authors: Neelon Tejinder S.
Published: September 2002

The holomorphic extension of functions defined on a class of real hypersurfaces in ℂn with singularities is investigated. When n = 2, we prove the following: every C1 function on Σ that satisfies the tangential Cauchy‐Riemann equation on boundary of {(z, w) ∈ ℂ2 : |z|k < P(w)}, P ∈ C1, P ≥ 0 and P≢0, extends holomorphically inside provided the zero set P(w) = 0 has a limit point or P(w) vanishes to infinite order. Furthermore, if P is real analytic then the condition is also necessary.
A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space II
Authors: Kim Young Sik
Published: September 2002

We show that for certain bounded cylinder functions of the form , x ∈ B where is
the Fourier‐transform of the complex‐valued Borel measure μ on ℬ(ℝn), the Borel σ‐algebra of
ℝn with ‖μ‖ < ∞, the analytic Feynman
integral of F exists, although the analytic Feynman integral, , do not
always exist for bounded cylinder functions , x ∈ B. We prove a change of scale formula for Wiener integrals of F on
the abstract Wiener space.
Lipschitz measures and vector‐valued Hardy spaces
Authors: Folch-Gabayet Magali , Guzmán-Partida Martha , Pérez-Esteva Salvador
Published: September 2002

We define certain spaces of Banach‐valued measures called Lipschitz
measures. When the Banach space is a dual space X*, these
spaces can be identified with the duals of the atomic vector‐valued
Hardy spaces , 0 < p < 1. We also prove
that all these measures have Lipschitz densities. This implies that
for every real Banach space X and 0 < p < 1, the dual can be identified with a space of
Lipschitz functions with values in X*.
Sufficient conditions for meromorphic starlikeness and close‐to‐convexity of order α
Authors: Cho Nak Eun , Owa Shigeyoshi
Published: September 2002

The object of the present paper is to derive a property of certain meromorphic functions in the punctured unit disk. Our main theorem contains certain sufficient conditions for starlikeness and close‐to‐convexity of order α of meromorphic functions.
Lattice modules having small cofinite irreducibles
Authors: Johnson E. W. , Johnson Johnny A. , Taylor Monty B.
Published: September 2002

We introduce the concept of small cofinite irreducibles in Noetherian lattice modules and obtain several characterizations of this property.
On Whitehead′s inequality, nil [X, G] ≤ cat X
Authors: Arkowitz Martin
Published: September 2002

A new proof of Whitehead′s inequality, nil [X, G] ≤ cat X, is given.
Determinant inequalities for sieved ultraspherical polynomials
Authors: Bustoz J. , Pyung I. S.
Published: September 2002

Paul Turan first observed that the Legendre polynomials satisfy
the inequality , −1 < x < 1. Inequalities of this type have since been proved for both
classical and nonclassical orthogonal polynomials. In this
paper, we prove such an inequality for sieved orthogonal
polynomials of the second kind.
On almost increasing sequences and its applications
Authors: Özarslan Hikmet S.
Published: September 2002

We prove a general theorem on summability
factors, which generalizes a theorem of Bor (1994) on summability factors, under weaker conditions by
using an almost increasing sequence.
H‐function with complex parameters I: existence
Authors: Al-Musallam Fadhel A. , Tuan Vu Kim
Published: September 2002

An H‐function with complex parameters is defined by a
Mellin‐Barnes type integral. Necessary and sufficient conditions
under which the integral defining the H‐function converges
absolutely are established. Some properties, special cases, and an
application to integral transforms are given.
On the rate of convergence of bootstrapped means in a Banach space
Authors: Ahmed S. Ejaz , Hu T.-C. , Volodin Andrei I.
Published: September 2002

We establish the complete convergence for arrays of Banach space
valued random elements. This result is applied to bootstrapped
means of random elements to obtain their strong consistency and
is derived in the spirit of Baum‐Katz/Hsu‐Robbins/Spitzer type
convergence.
Evaluation of Euler‐Zagier sums
Authors: Boyadzhiev Khristo
Published: September 2002

We present a simple method for evaluation of multiple Euler sums
in terms of single and double zeta values.
Common coincidence points of R‐weakly commuting maps
Authors: Kamran Tayyab
Published: September 2002

A common coincidence point theorem for R‐weakly commuting mappings is obtained. Our result extend several ones existing in literature.
Fixed points via a generalized local commutativity
Authors: Jungck Gerald F.
Published: September 2002

Let g : X → X. The concept of a semigroup of maps which
is “nearly commutative at g” is introduced. We thereby obtain
new fixed point theorems for functions with bounded orbit(s) which
generalize a recent theorem by Huang and Hong, and results by
Jachymski, Jungck, Ohta, and Nikaido, Rhoades and Watson, and
others.
On the closure of the sum of closed subspaces
Authors: Schochetman Irwin E. , Smith Robert L. , Tsui Sze-Kai
Published: September 2002

We give necessary and sufficient conditions for the sum of closed subspaces of a Hilbert space to be closed. Specifically, we show that the sum will be closed if and only if the angle between the subspaces is not zero, or if and only if the projection of either space into
the orthogonal complement of the other is closed. We also give sufficient conditions for the sum to be closed in terms of the relevant orthogonal projections. As a consequence, we obtain sufficient conditions for the existence of an optimal solution to an abstract quadratic programming problem in terms of the kernels of the cost and constraint operators.
Reflection and transmission of elastic waves at viscous liquid/micropolar elastic solid interface
Authors: Kumar Rajneesh , Tomar Sushil K.
Published: September 2002

Amplitude ratios of various reflected and transmitted elastic waves from a plane interface separating a viscous liquid half‐space and a micropolar elastic solid half‐space, are obtained in two cases (i) when longitudinal wave propagating through the solid half‐space is made incident at the interface and (ii) when “coupled‐wave” propagating through the solid half‐space is made incident at the interface. These amplitude ratios have been computed numerically for a specific model and results obtained are presented graphically. It is found that these amplitude ratios depend on the angle of incidence of the incident wave and
the effect of viscosity of the liquid on amplitude ratios is noticed. The problem studied by Tomar and Kumar (1995) has been reduced as a special case of our problem.
Quaternion CR‐submanifolds of a quaternion Kaehler manifold
Authors: Papantoniou Bassil J. , Shahid M. Hasan
Published: September 2002

We study the quaternion CR‐submanifolds of a
quaternion Kaehler manifold. More specifically we study the
properties of the canonical structures and the geometry of the
canonical foliations by using the Bott connection and the index
of a quaternion CR‐submanifold.
On eventual stability of impulsive systems of differential equations
Authors: Soliman A. A.
Published: September 2002

The notions of Lipschitz stability of impulsive systems of differential equations are extended and the notions of eventual stability are introduced. New notions called eventual and
eventual Lipschitz stability. We give some criteria and results.
On n‐fold implicative filters of lattice implication algebras
Authors: Jun Young Bae
Published: September 2002

We introduce the notion of n‐fold implicative filters and n‐fold implicative lattice implication algebras. We give characterizations of n‐fold implicative filters and n‐fold implicative lattice implication algebras. Finally, we construct an extension property for n‐fold implicative filter.
Asymptotic analysis of American call options
Authors: Alobaidi Ghada , Mallier Roland
Published: September 2002

American call options are financial derivatives that give the holder the right but not the obligation to buy an underlying security at a pre‐determined price. They differ from European
options in that they may be exercised at any time prior to their expiration, rather than only at expiration. Their value is described by the Black‐Scholes PDE together with a constraint that
arises from the possibility of early exercise. This leads to a free boundary problem for the optimal exercise boundary, which determines whether or not it is beneficial for the holder to
exercise the option prior to expiration. However, an exact solution cannot be found, and therefore by using asymptotic techniques employed in the study of boundary layers in fluid
mechanics, we find an asymptotic expression for the location of the optimal exercise boundary and the value of the option near to expiration.
Iterative solutions of K‐positive definite operator equations in real uniformly smooth Banach spaces
Authors: Liu Zeqing , Kang Shin Min , Ume Jeong Sheok
Published: September 2002

Let X be a real uniformly smooth Banach space and let
T : D(T)⫅X → X be a
K‐positive definite
operator. Under suitable conditions we establish that the
iterative method by Bai (1999) converges strongly to the unique
solution of the equation Tx = f, f ∈ X. The results presented
in this paper generalize the corresponding results of Bai (1999),
Chidume and Aneke (1993), and Chidume and Osilike (1997).
Approximate controllability of neutral functional differential system with unbounded delay
Authors: Park Jong Yeoul , Kang Sang Nam
Published: September 2002

We consider a class of control systems governed by the neutral functional differential equation with unbounded delay and study the approximate controllability of the system. An example is given to illustrate the result.
On Azumaya algebras with a finite automorphism group
Authors: Szeto George , Xue Lianyong
Published: September 2002

Let B be a ring with 1, C the center of B, and G a finite automorphism group of B. It is shown that if B is an Azumaya algebra such that B = ⊕∑g∈GJg where Jg = {b ∈ B|bx = g(x)b   for all   x ∈ B}, then there exist orthogonal central idempotents {fi ∈ C|i = 1, 2, …, m   for some integer   m} and subgroups Hi of G such that where Bfi is a central Galois algebra with Galois group for each i = 1, 2, …, m and D is contained in C.
On n‐fold fuzzy implicative/commutative ideals of BCK‐algebras
Authors: Jun Young Bae
Published: September 2002

We consider the fuzzification of the notion of an n‐fold implicative ideal, an n‐fold (weak) commutative ideal. We give characterizations of an n‐fold fuzzy implicative ideal. We establish an extension property for n‐fold fuzzy commutative ideals.
Nonempty intersection theorems minimax theorems with applications in generalized interval spaces
Authors: Wang Da-Cheng
Published: September 2002

We establish some new topological types of nonempty intersection
theorems in more general topological spaces without linear structure. As applications, we utilize results to study the minimax problems, coincidence problems, and economy equilibrium problems in generalized interval spaces and some new results are obtained.
Proper contractions and invariant subspaces
Authors: Kubrusly C. S. , Levan N.
Published: September 2002

Let T be a contraction and A the strong limit of {T∗nTn}n ≥ 1. We prove the following theorem: if a hyponormal contraction T does not have a nontrivial invariant subspace, then T is either a proper contraction of class 𝒞00 or a nonstrict proper contraction of class 𝒞10 for which A is a completely nonprojective nonstrict proper contraction. Moreover,
its self‐commutator [T*, T] is a strict contraction.
On imaginable T‐fuzzy subalgebras and imaginable T‐fuzzy closed ideals in BCH‐algebras
Authors: Jun Young Bae , Hong Sung Min
Published: September 2002

We inquire further into the properties on fuzzy closed ideals. We
give a characterization of a fuzzy closed ideal using its level set, and establish some conditions for a fuzzy set to be a fuzzy closed ideal. We describe the fuzzy closed ideal generated by a
fuzzy set, and give a characterization of a finite‐valued fuzzy closed ideal. Using a t‐norm T, we introduce the notion of (imaginable) T‐fuzzy subalgebras and (imaginable) T‐fuzzy closed ideals, and obtain some related results. We give relations
between an imaginable T‐fuzzy subalgebra and an imaginable
T‐fuzzy closed ideal. We discuss the direct product and
T‐product of T‐fuzzy subalgebras. We show that the family of
T‐fuzzy closed ideals is a completely distributive lattice.
The sequential approach to the product of distribution
Authors: Li C. K.
Published: September 2002

It is well known that the sequential approach is one of the main tools of dealing with product, power, and convolution of distribution (cf. Chen (1981), Colombeau (1985), Jones (1973),
and Rosinger (1987)). Antosik, Mikusiński, and Sikorski in 1972 introduced a definition for a product of distributions using a delta sequence. However, δ2 as a product of δ with itself was shown not to exist (see Antosik, Mikusiński, and Sikorski (1973)). Later, Koh and Li (1992) chose a fixed δ‐sequence without compact support and used the concept of neutrix limit of van der Corput to define δk and for some values of k. To extend such an approach from one‐dimensional space to m‐dimensional, Li and Fisher (1990) constructed a delta sequence, which is infinitely differentiable with respect to x1, x2, …, xm and r, to deduce a non‐commutative neutrix product of r−k and Δδ. Li (1999) also provided a modified δ‐sequence and defined a new distribution (dk/drk)δ(x), which is used to compute the more general product of r−k and Δlδ, where l ≥ 1, by applying the normalization procedure due to Gel′fand and Shilov (1964). We begin this paper by distributionally normalizing Δr−k with the help of distribution . Then we utilize several nice properties of the δ‐sequence by Li and Fisher (1990) and an identity of δ distribution to derive the product Δr−k · δ based on the results obtained by Li (2000), and Li and Fisher (1990).
A new approach for studying fuzzy functional equations
Authors: Deeba Elias , Korvin Andre De
Published: September 2002

We define the concept of a “largest” and a “smallest” solution to an underlying equation and then show that a fuzzy solution of the corresponding fuzzy equation is bounded above and below by these solutions, respectively.
On the geometry and behavior of n‐body motions
Authors: Straume Eldar
Published: September 2002

The kinematic separation of size, shape, and orientation of n‐body systems is investigated together with specific issues concerning the dynamics of classical n‐body motions. A central topic is the asymptotic behavior of general collisions, extending
the early work of Siegel, Wintner, and more recently Saari. In particular, asymptotic formulas for the derivatives of any order of the basic kinematic quantities are included. The kinematic Riemannian metric on the congruence and shape moduli spaces are introduced via O(3)‐equivariant geometry. For n = 3, a classical geometrization procedure is explicitly carried out for planary 3‐body motions, reducing them to solutions of a rather simple system of geodesic equations in the 3‐dimensional
congruence space. The paper is largely expository and various known results on classical n‐body motions are surveyed in our more geometrical setting.
Biharmonic maps on V‐manifolds
Authors: Chiang Yuan-Jen , Sun Hongan
Published: September 2002

We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V‐manifolds. We obtain the first and second variations of biharmonic maps on V‐manifolds. Since a biharmonic map from a compact V‐manifold into a Riemannian manifold of nonpositive curvature is harmonic, we construct a biharmonic non‐harmonic map into a sphere. We also show that under certain condition the biharmonic property of f implies the harmonic property of f. We finally discuss the composition of biharmonic maps on V‐manifolds.
Multivariable dimension polynomials and new invariants of differential field extensions
Authors: Levin Alexander B.
Published: September 2002

We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin′s theorem on differential dimension polynomial and find new differential birational invariants of a finitely generated differential field extension.
Linear right ideal nearrings
Authors: Magill Kenneth D.
Published: September 2002

We determine, up to isomorphism, all those topological nearrings 𝒩n whose additive groups are the n‐dimensional Euclidean groups, n > 1, and which contain n one‐dimensional linear subspaces which are also right ideals of the nearring satisfying several additional properties. Specifically, for each w ∈ 𝒩n, we require that there exist wi ∈ Ji, 1 ≤ i ≤ n, such that w = w1 + w2 + ⋯+wn and multiplication on the left of w yields the same result as multiplication by the same element on the left of wn. That is, vw = vwn for each v ∈ 𝒩n.
Hyperfinite and standard unifications for physical theories
Authors: Herrmann Robert A.
Published: September 2002

A set of physical theories is represented by a nonempty subset of the lattice of consequence operators defined on a language Λ. It is established that there exists a unifying injection 𝒮 defined on the nonempty set of significant representations for natural systems M ⊂ Λ. If W ∈ M, then 𝒮W is a hyperfinite ultralogic and . A “product” hyperfinite ultralogic Π is defined on internal subsets of the product set *Λm and is shown to represent the application of 𝒮 to {W1, …, Wm} ⊂ M. There also exists a standard unifying injection SW such that 𝒮W(*W) ⊂ *SW(*W).

Hyperfinite and standard unifications for physical theoriesdx.doi.org/10.1155/IJMMS/2006/80231
Oscillation of nonlinear delay difference equations
Authors: Jiang Jianchu
Published: September 2002

We obtain some oscillation criteria for solutions
of the nonlinear delay difference equation of the form .
An explicit solution of coupled viscous Burgers′ equation by the decomposition method
Authors: Kaya Doğan
Published: September 2002

We consider a coupled system of viscous Burgers′ equations with
appropriate initial values using the decomposition method. In this
method, the solution is calculated in the form of a convergent power
series with easily computable components. The method does not need
linearization, weak nonlinearity assumptions or perturbation theory.
The decomposition series solution of the problem is quickly obtained by
observing the existence of the self‐canceling “noise” terms where
the sum of components vanishes in the limit.
The number of connected components of certain real algebraic curves
Authors: Kim Seon-Hong
Published: September 2002

For an integer n ≥ 2, let and , where αk, βk are real. We find the number of connected components of the real
algebraic curve {(x, y) ∈ ℝ2 : |p(x + iy)| − |q(x + iy)| = 0} for some αk and βk. Moreover, in these cases, we show that each connected component contains zeros of p(z) + q(z), and we investigate the locus of zeros of p(z) + q(z).
About interpolation of subspaces of rearrangementinvariant spaces generated by Rademacher system
Authors: Astashkin Sergey V.
Published: September 2002

The Rademacher series in rearrangement invariant function spaces “close” to the space L∞ are considered. In terms of
interpolation theory of operators, a correspondence between such
spaces and spaces of coefficients generated by them is stated. It
is proved that this correspondence is one‐to‐one. Some examples
and applications are presented.
On matrix transformations concerning the Nakano vector‐valued sequence space
Authors: Suantai Suthep
Published: September 2002

We give the matrix characterizations from Nakano vector‐valued sequence space ℓ(X, p) and Fr(X, p) into the sequence spaces Er, ℓ∞, , bs, and cs, where p = (pk) and q = (qk) are bounded sequences of positive real numbers such that Pk > 1 for all k ∈ ℕ and r ≥ 0.
Flett′s mean value theorem in topological vector spaces
Authors: Powers Robert C. , Riedel Thomas , Sahoo Prasanna K.
Published: September 2002

We prove some generalizations of Flett′s mean value theorem for a class of Gateaux differentiable functions f : X → Y, where X and Y are topological vector spaces.
A note on Mues′ conjecture
Authors: Lahiri Indrajit
Published: September 2002

We prove that Mues′ conjecture holds for the second‐ and higher‐order derivatives of a square and higher power of any transcendental meromorphic function.
On the spectrum of the distributional kernel related to the residue
Authors: Kananthai Amnuay
Published: September 2002

We study the spectrum of the distributional kernel Kα,β(x), where α and β are complex numbers and x is a point in the space ℝn of the n‐dimensional Euclidean space. We found that for any nonzero point ξ that belongs to such a spectrum, there exists the residue of the Fourier transform , where α = β = 2k, k is a nonnegative integer and ξ ∈ ℝn.
Solvability of Kolmogorov‐Fokker‐Planck equations for vector jump processes and occupation time on hypersurfaces
Authors: Dokuchaev N. G.
Published: September 2002

We study occupation time on hypersurface for Markov n‐dimensional jump processes. Solvability and uniqueness of
integro‐differential Kolmogorov‐Fokker‐Planck with generalized
functions in coefficients are investigated. Then these results are
used to show that the occupation time on hypersurfaces does exist
for the jump processes as a limit in variance for a wide class of
piecewise smooth hypersurfaces, including some fractal type and
moving surfaces. An analog of the Meyer‐Tanaka formula is
presented.
Dual pairs of sequence spaces
Authors: Boos Johann , Leiger Toivo
Published: September 2002

The paper aims to develop for sequence spaces E a general concept for reconciling certain results, for example inclusion theorems, concerning generalizations of the Köthe‐Toeplitz duals E×(×∈{α, β}) combined with dualities (E, G), G ⊂ E×, and the SAK‐property (weak sectional convergence). Taking
Eβ : = {(yk) ∈ ω : = 𝕜ℕ | (ykxk) ∈ cs} = :Ecs, where cs denotes the set of all summable sequences, as a starting point, then we get a general substitute of Ecs by replacing cs by any locally convex sequence space S with sum s ∈ S′ (in particular, a sum space) as defined by Ruckle (1970). This idea provides a dual pair (E, ES) of sequence spaces and gives rise for a generalization of the
solid topology and for the investigation of the continuity of
quasi‐matrix maps relative to topologies of the duality
(E, Eβ). That research is the basis for general versions of three types of inclusion theorems: two of them are originally due to Bennett and Kalton (1973) and generalized by the authors (see Boos and Leiger (1993 and 1997)), and the third was done by
Große‐Erdmann (1992). Finally, the generalizations, carried out in this paper, are justified by four applications with results around different kinds of Köthe‐Toeplitz duals and
related section properties.
Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces
Authors: Merker Joël
Published: September 2002

Recent advances in CR (Cauchy‐Riemann) geometry have raised interesting fine questions about the regularity of CR mappings between real analytic hypersurfaces. In analogy with the known optimal results about the algebraicity of holomorphic mappings between real algebraic sets, some statements about the optimal regularity of formal CR mappings between real analytic CR manifolds can be naturally conjectured. Concentrating on the hypersurface case, we show in this paper that a formal invertible CR mapping between two minimal holomorphically nondegenerate real analytic hypersurfaces in ℂn is convergent. The necessity of holomorphic nondegeneracy was known previously. Our technique is an adaptation of the inductional study of the jets of formal CR maps which was discovered by Baouendi‐Ebenfelt‐Rothschild. However, as the manifolds we consider are far from being finitely nondegenerate, we must consider some new conjugate reflection identities which appear to be crucial in the proof. The higher codimensional case will be studied in a forthcoming paper.
Semiclassical quantization of circular billiard in homogeneous magnetic field: Berry‐Tabor approach
Authors: Palla Gergely , Vattay Gábor , Cserti József
Published: September 2002

Semiclassical methods are accurate in general in leading order of ħ, since they approximate quantum mechanics via canonical invariants. Often canonically noninvariant terms appear in the Schrödinger equation which are proportional to ħ2, therefore a discrepancy between different semiclassical trace formulas in order of ħ2 seems to be possible. We derive here the Berry‐Tabor formula for a circular billiard in a homogeneous magnetic field. The formula derived for the semiclassical density of states surprisingly coincides with the results of Creagh‐Littlejohn theory despite the presence of canonically noninvariant terms.
Computational proofs of congruences for 2‐colored Frobenius partitions
Authors: Eichhorn Dennis , Sellers James A.
Published: September 2002

In 1994, the following infinite family of congruences was
conjectured for the partition function cΦ2(n) which counts the number of 2‐colored Frobenius partitions of n: for all n ≥ 0 and α ≥ 1, cΦ2(5αn + λα) ≡ 0(mod5α), where λα is the least positive reciprocal of 12 modulo 5α.
In this paper, the first four cases of this family are proved.
A note on uniformly dominated sets of summing operators
Authors: Delgado J. M. , Piñeiro C.
Published: September 2002

Let Y be a Banach space that has no finite cotype and p a real number satisfying 1 ≤ p < ∞. We prove that a set ℳ ⊂ Πp(X, Y) is uniformly dominated if and
only if there exists a constant C > 0 such that, for every finite set {(xi, Ti) : i = 1, …, n} ⊂ X × ℳ, there is an operator T ∈ Πp(X, Y)
satisfying πp(T) ≤ C and ‖Tixi‖ ≤ ‖Txi‖ for i = 1, …, n.
Fuzzy cγ‐open sets and fuzzy cγ‐continuity in fuzzifying topology
Authors: Noiri T. , Sayed O. R.
Published: September 2002

The concepts of fuzzy cγ‐open sets and fuzzy cγ‐continuity are introduced and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced.
Certain integral operator and strongly starlike functions
Authors: Liu Jin-Lin
Published: September 2002

Let S∗(ρ, γ) denote the class of strongly starlike functions of order ρ and type γ and let C(ρ, γ) be the class of strongly convex functions of order ρ and type γ. By making use of an integral operator defined by Jung et al. (1993), we introduce two novel families of strongly starlike functions and . Some properties of these classes are discussed.
A generalization related to Schrödinger operators with a singular potential
Authors: Diagana Toka
Published: September 2002

The purpose of this note is to generalize a result related to the Schrödinger operator L = −Δ + Q, where Q is a singular
potential. Indeed, we show that D(L) = {0} in L2(ℝd) for d ≥ 4. This fact answers to an open question that we formulated.
A decoding scheme for the 4‐ary lexicodes with D = 3
Authors: Kim D. G. , Kim H. K.
Published: September 2002

We introduce the algorithms for basis and decoding of quaternary lexicographic codes with minimum distance d = 3 for an
arbitrary length n.
Asymptotic behavior of the solutions of a discrete reaction‐diffusion equation
Authors: Medina Rigoberto , Cheng Sui Sun
Published: September 2002

By means of Bihari type inequalities, we derive sufficient
conditions for solutions of a discrete reaction‐diffusion equation
to be bounded or to converge to zero. Asymptotic representation of
solutions are also derived. Our results yield estimates and
explicit attractive regions for the solutions.
On β‐dual of vector‐valued sequence spaces of Maddox
Authors: Suantai Suthep , Sanhan Winate
Published: September 2002

The β‐dual of a vector‐valued sequence space is defined and studied. We show that if an X‐valued sequence space E is a BK‐space having AK property, then the dual space of E and its β‐dual are isometrically isomorphic. We also give characterizations of β‐dual of vector‐valued sequence spaces of Maddox ℓ(X, p), ℓ∞(X, p), c0(X, p), and c(X, p).