bluuebunny/crossref_metadata_2025 huggingface dataset:
A note on Köthe‐Toeplitz duals of certain sequence spaces and their matrix transformations
Authors: Choudhary B. , Mishra S. K.
Published: September 2002

In this paper we define the sequence spaces Sℓ∞(p), Sc(p) and Sc0(p) and determine
the Köthe‐Toeplitz duals of Sℓ∞(p). We also obtain necessary and sufficient conditions for a matrix
A to map Sℓ∞(p) to ℓ∞ and investigate some related problems.
Gelfand theorem implies Stone representation theorem of Boolean rings
Authors: Saworotnow Parfeny P.
Published: September 2002

Stone Theorem about representing a Boolean algebra in terms of open‐closed subsets
of a topological space is a consequence of the Gelfand Theorem about representing a B∗‐
algebra as the algebra of continuous functions on a compact Hausdorff space.
Periodic boundary value problem for second order integro‐ordinary differential equations with general kernel and Carathéodory nonlinearities
Authors: Nieto Juan J.
Published: September 2002

We study the existence of solutions for the periodic boundary value problem for
some second order integro‐differential equations with a general kernel. Also we develop the
monotone method to approximate the extremal solutions of the problem.
Elliptic Riesz operators on the weighted special atom spaces
Authors: Jichang Kuang
Published: September 2002

In this paper we study the boundedness and convergence of and , the elliptic Riesz operators and the conjugate elliptic Riesz operators of order s > 0, on the weighted special atom space B(ω).
On some properties of the spaces of almost continuous functions
Authors: Pawlak Ryszard Jerzy
Published: September 2002

In this paper we prove that, in the space 𝒜 of almost continuous functions (with the metric of uniform convergence), the set of functions of the first class of Baire is superporous at each point of this space
Generalized dissipativeness in a Banach space
Authors: Gurney David R.
Published: September 2002

Suppose X is a real or complex Banach space with dual X* and a semiscalar product [, ]. For k a real number, a subset B of X × X will be called k‐dissipative if for each pair of elements (x1, y1), (x2, y2) in B, there exists

urn:x-wiley:01611712:media:ijmm926173:ijmm926173-math-0001

such that

urn:x-wiley:01611712:media:ijmm926173:ijmm926173-math-0002

This definition extends a notion of dissipativeness which is equivalent to having k equal zero here. A number of definitions and theorems related to this original dissipative notion are generalized in the present paper to fit the k‐dissipative situation, and proofs are given for the new theorems.
On extension of pairwise θ‐continuous maps
Authors: Sen S. K. , Mukherjee M. N.
Published: September 2002

The aim of the paper is to find suitable conditions so as to ultimately establish the existence and uniqueness of the extension of a pairwise θ‐continuous map onto an arbitrary extension‐space of a bitopological space.
On a family of Wiener type spaces
Authors: Fischer R. H. , Gürkanli A. T. , Liu T. S.
Published: September 2002

Research on Wiener type spaces was initiated by N.Wiener in [15]. A number of authors worked on these spaces or some special cases of these spaces. A kind of generalization of the Wiener′s definition was given by H.Feichtinger in [2] as a Banach spaces of functions (or measures, distributions) on locally compact groups that are defined by means of the global behaviour of certain local properties of their elements. In the present paper we discussed Wiener type spaces using the spaces and (c. f. [8]) as a local component, and as a global component, where w and ν are Beurling weights on G and ω is a Beurling weight on (c. f. [13]).
On locally s‐closed spaces
Authors: Basu C. K.
Published: September 2002

In the present paper, the concepts of s‐closed sub‐spaces, locally s‐closed spaces have been introduced and characterized. We have seen that local s‐closedness is a semi‐regular property; the concept of s‐θ‐closed mapping has been introduced here and the following important properties are established:‐

Let f : X → Y be an s‐θ‐closed surjection with s‐set (Maio and Noiri [8]) point inverses. Then:

(a) If f is completely continuous (Arya and Gupta [1]) and Y is locally compact T2‐space, then, X is locally s‐closed.

(b) If f is ν‐continuous (Ganguly and Basu [5]) and X is a locally compact T2‐space, then, Y is locally s‐closed.
New characterizations for Hankel transformable spaces of Zemanian
Authors: Betancor J. J.
Published: September 2002

In this paper we obtain new characterizations of the Zemanian spaces Hμ, and .
On the diaphony of one class of one‐dimensional sequences
Authors: Grozdanov Vassil St.
Published: September 2002

In the present paper, we consider a problem of distribution of sequences in the interval [0, 1), the so‐called ′Pr‐sequences′ We obtain the best possible order O(N−1(logN)1/2) for the diaphony of such Pr‐sequences. For the symmetric sequences obtained by symmetrization of Pr‐sequences, we get also the best possible order O(N−1(logN)1/2) of the quadratic discrepancy
On a structure satisfying FK − (−)K+1F = 0
Authors: Das Lovejoy S.
Published: September 2002

In this paper we shall obtain certain results on the structure defined by F(K, −(−)K+1) and satisfying FK − (−)K+1F = 0, where F is a non null tensor field of the type (1, 1) Such a structure on an n‐dimensional differentiable manifold Mn has been called F(K, −(−)K+1) structure of rank “r”, where the rank of F is constant on Mn and is equal to “r” In this case Mn is called an F(K, −(−)K+1) manifold. The case when K is odd has been considered in this paper
A note on dual integral equations involving inverse associated Weber‐Orr transforms
Authors: Mandal Nanigopal , Mandal B. N.
Published: September 2002

We consider dual integral equations involving inverse associated Weber‐Orr transforms. Elementary methods have been used to reduce dual integral equations to a Fredholm integral equation of second kind. Some known results are obtained as special case.
Linear programming with inequality constraints via entropic perturbation
Authors: Tsao H.-S. Jacob , Fang Shu-Cherng
Published: September 2002

A dual convex programming approach to solving linear programs with inequality constraints through entropic perturbation is derived. The amount of perturbation required depends on the desired accuracy of the optimum. The dual program contains only non‐positivity constraints. An ϵ‐optimal solution to the linear program can be obtained effortlessly from the optimal solution of the dual program. Since cross‐entropy minimization subject to linear inequality constraints is a special case of the perturbed linear program, the duality result becomes readily applicable. Many standard constrained optimization techniques can be specialized to solve the dual program. Such specializations, made possible by the simplicity of the constraints, significantly reduce the computational effort usually incurred by these methods. Immediate applications of the theory developed include an entropic path‐following approach to solving linear semi‐infinite programs with an infinite number of inequality constraints and the widely used entropy optimization models with linear inequality and/or equality constraints.
A note on the continuity of multilinear mappings in topological modules
Authors: Bernardes Nilson C.
Published: September 2002

In the present note, we obtain a criterion for the equicontinuity of families of multilinear mappings between topological modules. We also give an example which shows that the hypothesis imposed on the neighborhoods of zero is essential for the validity of our theorem.
Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets
Authors: Stratigos P. D.
Published: September 2002

Consider any set X. A finitely subadditive outer measure on P(X) is defined to be
a function v from P(X) to R such that v(ϕ) = 0 and v is increasing and finitely subadditive. A finitely
superadditive inner measure on P(X) is defined to be a function p from P(X) to R such that p(ϕ) = 0 and p is increasing and finitely superadditive (for disjoint unions) (It is to be noted that every finitely
superadditive inner measure on P(X) is countably superadditive).

This paper contributes to the study of finitely subadditive outer measures on P(X) and finitely superadditive inner measures on P(X) and their measurable sets.
Asymptotic constancy of solutions of systems of difference equations
Authors: Medina Rigoberto , Pinto Manuel
Published: September 2002

Assuming only conditional summability we study the convergence of the solutions of
difference systems.
On manimax theory in two Hilbert spaces
Authors: El-Kholy E. M. , Abdou Hanan Ali
Published: September 2002

In this paper, we investigated the minimax of the bifunction

urn:x-wiley:01611712:media:ijmm130956:ijmm130956-math-0001

such that

urn:x-wiley:01611712:media:ijmm130956:ijmm130956-math-0002

where
a(..) is a finite symmetric bilinear bicontinuous, coercive form on H1(Ω) and L belongs to the
dual of H1(Ω).

In order to obtain the minimax point we use lagrangian functional.
On almost finitely generated nilpotent groups
Authors: Hilton Peter , Militello Robert
Published: September 2002

A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p‐local group for all primes
p; it is fg‐like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p. The fgp nilpotent
groups form a (generalized) Serre class; the fg‐like nilpotent groups do not. However, for abelian
groups, a subgroup of an fg‐like group is fg‐like, and an extension of an fg‐like group by an fg‐like group
is fg‐like. These properties persist for nilpotent groups with finite commutator subgroup, but fail in
general.
On a class of linear ordinary differential equations having and as solutions
Authors: Alawneh Ahmed D. , Farah Ahmed Y.
Published: September 2002

We introduced some linear homogeneous ordinary differential equations
which have both formal and finite distributional solutions at the same time, where the finite
solution is a partial sum of the formal one. In the nonhomogeneous case and sometimes in
the homogeneous case we found formal rational and rational solutions for such differential
equations and similarly the rational solution is a partial sum of the formal one.
Eigenvalues of the negative Laplacian for arbitrary multiply connected domains
Authors: Zayed E. M. E.
Published: September 2002

The purpose of this paper is to derive some interesting asymptotic formulae for
spectra of arbitrary multiply connected bounded domains in two or three dimensions, linked with
variation of positive distinct functions entering the boundary conditions, using the spectral function
as P → ∞. Further results may be obtained.
On resistive dissipation of Alfvén waves in an isothermal atmosphere
Authors: Alkahby H. Y.
Published: September 2002

In this paper we will examine the reflection and dissipation of Alfvén waves, resulting from a
uniform vertical magnetic field, in an inviscid, resistive and isothermal atmosphere. An equation for the
damping length distance that wave can travel at Alfvén speed is derived. This equation shows that
the damping length is proportional to the wave number and the density scale height and it is valid not
only for Alfvén waves but also for any wave that travels at Alfvén speed. Moreover, it is shown that the atmosphere may be divided into two distinct regions connected by an absorbing and reflecting transition region. In the lower region the solution can be represented as a linear combination of two, incident and reflected, propagating waves with the same wavelengths and the same dissipative factors. In the upper region the effect of the resistive diffusivity and Alfvén speed is large and the solution, which satisfies the prescribed boundary conditions, either decays with altitude or behaves as a constant. In the transition region the reflection, dissipation and absorption of the magnetic energy of the waves take place. The reflection coefficient, the dissipative factors, which are proportional to the damping length, are determined and the conclusions are discussed in connection with heating of the solar atmosphere.
Asymptotic tracts of harmonic functions III
Authors: Barth Karl F. , Brannan David A.
Published: September 2002

A tract (or asymptotic tract) of a real function
u harmonic and nonconstant in
the complex plane 𝒞 is one of the nc components of the set {z : u(z) ≠ c}, and the order of
a tract is the number of non‐homotopic curves from any given point to ∞ in the tract. The
authors prove that if u(z) is an entire harmonic polynomial of degree n, if the critical points of
any of its analytic completions f lie on the level sets τj = {z : u(z) = cj}, where 1 ≤ j ≤ p and
p ≤ n − 1, and if the total order of all the critical points of f on τj is denoted by σj, then

urn:x-wiley:01611712:media:ijmm658957:ijmm658957-math-0001

.
A note on weakly quasi continuous functions
Authors: Park Jin Han , Ha Hoe Young
Published: September 2002

The notion of weakly quasi continuous functions introduced
by Popa and Stan [1].
In this paper, the authors obtain the further properties
of such functions and introduce weak* quasi
continuity which is weaker than semi continuity [2]
but independent ofweak quasi continuity.
An epidemic model with density dependent parameters and vaccination
Authors: Khan Q. J. A. , Bhatt B. S.
Published: September 2002

A model originally suggested by Greenhalgh [12] and later modified by that same
author [13,14] is considered under the assumption that the transmission coefficient is inversely
proportional to the total population size. The purpose of this study is to see the effect of this density
dependent transmission coefficient on the stability criteria for the equilibrium of the model equations. It
is found that Greenhalgh’s results are still valid.
Real hypersurfaces of type A in quarternionic projective space
Authors: Ki U-Hang , Suh Young Jin , Pérez Juan De Dios
Published: September 2002

In this paper, under certain conditions on the orthogonal distribution 𝒟, we give
a characterization of real hypersurfaces of type A in quaternionic projective space QPm.
Convergence in mean of weighted sums of {an,k}‐compactly uniformly integrable random elements in Banach spaces
Authors: Cabrera M. Ordóñez
Published: September 2002

The convergence in mean of a weighted sum ∑kank(Xk − EXk) of random
elements in a separable Banach space is studied under a new hypothesis which relates the random
elements with their respective weights in the sum: the {ank}‐compactly uniform integrability
of {Xn}. This condition, which is implied by the tightness of {Xn} and the {ank}‐uniform
integrability of {‖Xn‖}, is weaker than the compactly miform integrability of {Xn} and leads
to a result of convergence in mean which is strictly stronger than a recent result of Wang, Rao
and Deli.
On the solution of Nevanlinna Pick problem with selfadjoint extensions of symmetric linear relations in Hilbert space
Authors: El-Sabbagh A. A.
Published: September 2002

The representation of Nevanlinna Pick Problem is well known, see [7], [8] and [11].
The aim of this paper is to find the necessary and sufficient condition for the solution of Nevanlinna
Pick Problem and to show that there is a one‐to‐one correspondence between the solutions of the
Nevanlinna Pick Problem and the minimal selfadjoint extensions of symmetric linear relation in
Hilbert space. Finally, we define the resolvent matrix which gives the solutions of the Nevanlinna
Pick Problem.
Generation of proper classes of short exact sequences
Authors: Pancar Ali
Published: September 2002

The generation of proper classes of short exact sequences of modules by subclasses is
considered. The class generated by two proper classes is studied by means of some operations between
these classes. These operations are investigated in details for classes of short quasi‐splitting, torsion‐splitting
and pure exact sequences of abelian groups.
Multiplicative polynomials and Fermat′s little theorem for non‐primes
Authors: Milnes Paul , Stanley-Albarda C.
Published: September 2002

Fermat′s Little Theorem states that xp = x(modp) for x ∈ N and prime
p, and so identifies an integer‐valued polynomial (IVP) gp(x) = (xp − x)/p. Presented here
are IVP′s gn for non‐prime n that complete the sequence {gn | n ∈ N} in a natural way.
Also presented are characterizations of the gn′s and an indication of the ideas from topological
dynamics and algebra that brought these matters to our attention.
Normal lattices and coseparation of lattices
Authors: Mittag Barry B.
Published: September 2002

Let X be an arbitrary non‐empty set, and let ℒ be a lattice of subsets of X such that ∅,
X ∈ ℒ. We first summarize a number of known conditions which are equivalent to ℒ being normal. We
then develop new equivalent conditions in terms of set functions associated with μ ∈ I(ℒ), the set of all
non‐trivial, zero‐one valued finitely additive measures on the algebra generated‐by ℒ′. We finally
generalize all the above to the situation where ℒ1 and ℒ2 are a pair of lattices of subsets of X with
, and where we obtain equivalent conditions for ℒ1 to coseparate ℒ2.
Graphs and common fixed point theorems for sequences of maps
Authors: Jachymski Jacek R.
Published: September 2002

We demonstrate a usefulness of the notion of a connected graph for obtaining some
common fixed point theorems. In particular, we establish two theorems of this type involving one,
two and four sequences of maps. This generalizes among others the recent results of S. Chang [1],
J. Jachymski [2], S. Sessa, R. N. Mukherjee and T. Som [3], and T. Taniguchi [4].
One‐dimensional adaptive grid generation
Authors: Khodier Ahmed M. M. , Hassan Adel Y.
Published: September 2002

In this work, we give an adaptive grid generation method which allows a single point to be
added in the regions of large variation. This method uses a quadrature rule as a weight function. Our
weight function measures the variation of the solution function on each subinterval of the solution domain.
The method is applied to obtain the numerical solutions of some differential equations. A comparison of
the numerical solution obtained by this method and other methods is given.
A new look at means on topological spaces
Authors: Hilton Peter
Published: September 2002

We use methods of algebraic topology to study when a connected topological space
admits an n‐mean map.
Cohomology, dimension and large Riemannian manifolds
Authors: Dranishnikov A. N.
Published: September 2002

This paper surveys recent results on dimension and cohomology of the Higson corona of
uniformly contractable manifolds.
Probablistic convergence spaces and regularity
Authors: Brock P. , Kent D. C.
Published: September 2002

The usual definition of regularity for convergence spaces can be characterized by a
diagonal axiom R due to Cook and Fischer. The generalization of R to the realm of probabilistic convergence spaces depends on a t‐norm T, and the resulting axiom RT defines “T‐regularity”, which is the primary focus of this paper. We give several characterizations of T‐regularity, both in
general and for specific choices of T, and investigate some of its basic properties.
Weighted norm inequalities for the ℋ‐transformation
Authors: Betancor J. J. , Jerez C.
Published: September 2002

In this paper we establish weighted norm inequalities for an imegral transform whose
kernel is a Fox function.
An accurate solution of the Poisson equation by the Legendre Tau method
Authors: Syam Muhammad I.
Published: September 2002

A new Tau method is presented for the two dimensional Poisson equation Comparison
of the results for the test problem u(x, y) = sin(4πx)sin(4πy) with those computed by Haidvogel and
Zang, using the matrix diagonalization method, and Dang‐Vu and Delcarte, using the Chebyshev
collocation method, indicates that our method would be more accurate.
Almost periodic solutions for Abel equations
Authors: Weiyao Zeng , Jinlin Shi , Zhensheng Lin , Debnath Lokenath
Published: September 2002

Using the Liapunov function method, the existence of almost periodic solutions of a
scalar differential equation is discussed The results for the scalar differential equation are then applied to
prove the existence and stability of almost periodic solutions of Abel differential equations We obtain
several interesting results which improve the results due to Chongyou [1] and Dongpin [2].
Hamiltonian‐connected graphs and their strong closures
Authors: Wong Pak-Ken
Published: September 2002

Let G be a simple graph of order at least three. We show that G is Hamiltonian‐connected
if and only if its strong closure is Hamiltonian‐connected. We also give an efficient
algorithm to compute the strong closure of G.
Asymptotic equivalence of sequences and summability
Authors: Li Jinlu
Published: September 2002

For a sequence‐to‐sequence transformation A, let RmAx = ∑n≥m|(Ax)n| and μmAx = supn≥m|(Ax)n|. The purpose of this paper is to study the relationship between the
asymptotic equivalence of two sequences (limnxn/yn = 1) and the variations of asymptotic
equivalence based on the ratios RmAx/RmAy and μmAx/μmAy.
On complete convergence for randomly indexed sums for a case without identical distributions
Authors: Kuczmaszewska Anna , Szynal Dominik
Published: September 2002

In this note we extend the complete convergence for randomly indexed sums given by Klesov (1989) to nonidentical distributed random variables.
Further studies of fully developed flow through ducts of arbitrary section by the contour line‐conformal mapping technique
Authors: Mazumdar J. , Hopkins D.
Published: September 2002

The paper discusses fully developed flow of viscous fluid through ducts of arbitrary
cross‐section. The method uses a constant velocity contour line in a typical cross‐section of the duch
as an independent variable. The amplitude of the oscillatory velocity is then obtained from an ordinary
integro‐differential equation. Several examples of a practical nature are given, with some that have not
yet been discussed in the literature. All details are explained by graphs.
The radical factors of f(x) − f(y) over finite fields
Authors: Gomez-Calderon Javier
Published: September 2002

Let F denote the finite field of order q For f(x) in F[x], let f*(x, y) denote the substitution polynomial f(x) − f(y). The polynomial f*(x, y) has frequently been used in questions on the values set of f(x) In this paper we consider the irreducible factors of f*(x, y) that are “solvable by
radicals” We show that if R(x, y) denotes the product of all the irreducible factors of f*(x, y) that are
solvable by radicals, then R(x, y) = g(x) − g(y) and f(x) = G(g(x)) for some polynomials g(x) and G(x) in F[x].
On the extreme points of some classes of holomorphic functions
Authors: Samaris Nicolas
Published: September 2002

Let U be the unit disk, D⊃U an open connected set and z0 ∈ D. Let also
P(z0, c, D) be the class of holomorphic functions in D for which f(z0) = c and Ref(z) > 0 in U.
We find the extreme points of the class P(z0, c, D).
Subrings of I‐rings and S‐rings
Authors: Sanghare Mamadou
Published: September 2002

Let R be a non‐commutative associative ring with unity 1 ≠ 0, a left R‐module is said to
satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an
automorphism of M. It is well known that every Artinian (resp. Noetherian) module satisfies property (I)
(resp. (S)) and that the converse is not true. A ring R is called a left I‐ring (resp. S‐ring) if every left
R‐module with property (I) (resp. (S)) is Artinian (resp. Noetherian). It is known that a subring B of a
left I‐ring (resp. S‐ring) R is not in general a left I‐ring (resp. S‐ring) even if R is a finitely generated
B‐module, for example the ring M3(K) of 3 × 3 matrices over a field K is a left I‐ring (resp. S‐ring),
whereas its subring

urn:x-wiley:01611712:media:ijmm325358:ijmm325358-math-0001

which is a commutative ring with a non‐principal Jacobson radical

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is not an I‐ring (resp. S‐ring) (see [4], theorem 8). We recall that commutative I‐rings (resp S‐tings) are
characterized as those whose modules are a direct sum of cyclic modules, these tings are exactly
commutative, Artinian, principal ideal rings (see [1]). Some classes of non‐commutative I‐rings and S‐tings
have been studied in [2] and [3]. A ring R is of finite representation type if it is left and right
Artinian and has (up to isomorphism) only a finite number of finitely generated indecomposable left
modules. In the case of commutative rings or finite‐dimensional algebras over an algebraically closed
field, the classes of left I‐rings, left S‐rings and rings of finite representation type are identical (see [1] and
[4]). A ring R is said to be a ring with polynomial identity (P. I‐ring) if there exists a polynomial
f(X1, X2, …, Xn), n ≥ 2, in the non‐commuting indeterminates X1, X2, …, Xn, over the center Z of R
such that one of the monomials of f of highest total degree has coefficient 1, and f(a1, a2, …, an) = 0
for all a1, a2, …, an in R. Throughout this paper all rings considered are associative rings with unity, and
by a module M over a ring R we always understand a unitary left R‐module. We use MR to emphasize
that M is a unitary right R‐module.
Fully idempotent near‐rings and sheaf representations
Authors: Ahsan Javed , Mason Gordon
Published: September 2002

Fully idempotent near‐rings are defined and characterized which yields information on
the lattice of ideals of fully idempotent rings and near‐rings. The space of prime ideals is topologized and
a sheaf representation is given for a class of fully idempotent near‐rings which includes strongly regular
near‐rings.
A remark on Θ‐regular spaces
Authors: Kovár Martin M.
Published: September 2002

In this paper we give an embedding characterization of θ‐regularity using the
Wallman‐type compactlfication. The productivity of θ‐regularity and a slight generalization of
Nagami′s Product Theorem to non‐Hausdorff paracompact ∑‐spaces we obtain as a corollary.
Some results on dominant operators
Authors: Yang Youngoh
Published: September 2002

We show that the Weyl spectrum of a dominant operator satisfies the spectral
mapping theorem for analytic functions and then answer a question of Oberai.
Fixed points for non‐surjective expansion mappings
Authors: Sharma B. K. , Sahu D. R. , Bounias M. , Bonaly A.
Published: September 2002

The contractive conditions of Popa (Demonstr. Math. 1990, 23, 213‐218) were
further improved for four non‐surjective expansion mappings, and some common
fixed point theorems under semi‐compatible pairs of mappings are proved. Our
main findings bring improvements to a number of results in the non‐metric
setting. Some implications for mathematical physics are raised with respect to
physical invariants
Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain
Authors: Inoue Tetsuo
Published: September 2002

The charge simulation method has been applied to solve a lot of problems
in electrical engineering. However, the principle of the method is not known enough even now.
This paper is devoted to giving the theoretical and mathematical base for the charge simulation
method of numerical conformal mappings in ring domains. Therefore for example, the uniform, convergence of approximations, the theoretical distribution of charge points, and the charges
will be mathematically discussed. An example is shown to help understanding of theoretical
considerations.
On real zeros of random polynomials with hyperbolic elements
Authors: Farahmand K. , Jahangiri M.
Published: September 2002

This paper provides the asymptotic estimate for the expected number of real zeros
of a random hyperbolic polynomial g1coshx + 2g2cosh2x + …+ngncoshnx where gj, (j = 1, 2, …, n)
are independent normally distributed random variables with mean zero and variance
one. It is shown that for sufficiently large
n this asymptotic value is (1/π)logn.
On the reflection of Alfvén waves in an ideal magnetoatmosphere
Authors: Alkahby Hadi Yahya , Mahrous M. A.
Published: September 2002

A lineafized theory ofmagnetoatmospheric waves is developed where the restoring forces
are those of compressibility and magnetic pressure. An equation for resonance is derived. Reflection
and tunneling of upward propagating Alfvén waves in an ideal Magnetoatmosphere are considered. It
is shown that the magnetic field produces a reflecting nonabsorbing critical layer. Below the critical
layer, the solution of the problem can be written as a linear combination of an upward and a downward
propagating wave and above it the solution decays exponentially with the altitude. The location of the
critical layer and the magnitude of the reflection coefficient are determined and the conclusions are
discussed in cormeetion with the heating mechanism of the solar atmosphere
On a modified Hyers‐Ulam stability of homogeneous equation
Authors: Jung Soon-Mo
Published: September 2002

In this paper, a generalized Hyers‐Ulam stability of the homogeneous equation shall be
proved, i.e., if a mapping f satisfies the functional inequality ‖f(yx) − ykf(x)‖ ≤ φ(x, y) under suitable
conditions, there exists a unique mapping T
satisfying T(yx) = ytT(x)
and ‖T(x) − f(x)‖ ≤ Φ(x).
Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k
Authors: Al-Amri Ibraham R.
Published: September 2002

In this paper we will show how to generate Akn+1 and
Skn+1 using a copy of Sn and an element of order k
in Akn+1 and Skn+1 respectively, for all positive integers n ≥ 2
and all positive integers k ≥ 2. We will also show how to generate
Akn+1 and
Skn+1 symmetrically using n
elements each of order k, for all n ≥ 2
and all even integers k ≥ 2.
Global classical solutions to the Cauchy problem for a nonlinear wave equation
Authors: Clark Haroldo R.
Published: September 2002

In this paper we consider the Cauchy problem

urn:x-wiley:01611712:media:ijmm750404:ijmm750404-math-0001

where u′
is the derivative in the sense of distributions and is the H‐norm of
. We
prove the existence and uniqueness of global classical solution.
The diophantine equation x2 + 3m = yn
Authors: Arif S. Akhtar , Abu Muriefah Fadwa S.
Published: September 2002

The object ofthis paper is to prove the following.
A note on complementarity problem
Authors: Carbone Antonio
Published: September 2002

In this paper we prove a result of complementarity problem where compact condition is
somewhat relaxed.
Complete convergence for B‐valued Lp‐mixingale sequences
Authors: Hanying Liang , Yaofeng Ren
Published: September 2002

Under weaker conditions of probability,we discuss in this paper the complete convergence
for the partial sums and the randomly indexed partial sums of B‐valued Lp‐mixingale
sequences.
Efficient algorithms for solving nonlinear Volterra integro‐differential equations with two point boundary conditions
Authors: Garey L. E. , Shaw R. E.
Published: September 2002

In this paper a collection of efficient algorithms are described for solving an algebraic system
with a symmetric Toeplitz coecient matrix. Systems of this form arise when approximating the solution of
boundary value Volterra integro‐differential equations with finite difference methods. In the nonlinear case,
an iterative procedure is required and is incorporated into the algorithms presented. Numerical examples
illustrate the results.
Indefinite eigenvalue problem with eigenparameter in the two boundary conditions
Authors: Ibrahim S. F. M.
Published: September 2002

The object of this paper is to establish an expansion theorem for a regular indefinite
eigenvalue problem of second order differential equation with an eigenvalue parameter,λ in the two
boundary conditions. We associated with this problem a J‐selfadjoint operator with compact resolvent
defined in a suitable Krein space and then we develop an associated eigenfunction expansion theorem.
Existence and uniqueness theorem for a solution of fuzzy differential equations
Authors: Park Jong Yeoul , Han Hyo Keun
Published: September 2002

By using the method of successive approximation, we prove the
existence and uniqueness of a solution of the fuzzy differential equation x′(t) = f(t, x(t)), x(t0) = x0. We also consider an ϵ‐approximate solution of the above fuzzy differential
equation.
The Gergonne point generalized through convex coordinates
Authors: Boyd J. N. , Raychowdhury P. N.
Published: September 2002

The Gergonne point of a triangle is the point at which the three
cevians to the points of tangency between the incircle and the sides of the triangle are concurrent. In this paper, we follow Koneĉný [7] in generalizing the idea of the Gergonne point and find the convex coordinates of the generalized Gergonne point. We relate these convex coordinates to the convex coordinates of several other special points of the triangle. We also give an
example of relevant computations.
On the oscillation of delay differential equations with real coefficients
Authors: Agwo H. A.
Published: September 2002

A set of necessary conditions and another set of sufficient conditions for the oscillation of all the solutions of

urn:x-wiley:01611712:media:ijmm539509:ijmm539509-math-0001

are proved.
On weak solution of a hyperbolic differential inclusion with nonmonotone discontinuous nonlinear term
Authors: Xingming Guo
Published: September 2002

In this paper, a hyperbolic differential inclusion with nonmonotone discontinuous and nonlinear term, which the generalized velocity acts as its variable, is studied and the existence and decay of its weak solution are obtained.
On the vertical bundle of a pseudo‐Finsler manifold
Authors: Bejancu Aurel , Farran Hani Reda
Published: September 2002

We define the Liouville distribution on the tangent bundle of a
pseudo‐Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.
A new characterization of B‐bounded semigroups with application to implicit evolution equations
Authors: Arlotti Luisa
Published: September 2002

We consider the one‐parameter family of linear operators that A.
Belleni Morante recently introduced and called
B‐bounded semigroups. We first determine all the properties
possessed by a couple (A, B) of operators if they generate a B‐bounded semigroup (Y(t))t≥0. Then we determine the simplest further property of the couple (A, B) which can assure the existence of a C0‐semigroup (T(t))t≥0 such that for all t ≥ 0, f ∈ D(B) we can write Y(t)f = T(t)Bf. Furthermore, we compare our result with the previous ones and
finally we show how our method allows to improve the theory developed by Banasiak for solving implicit evolution equations.
On the convergence of min/sup points in optimal control problems
Authors: Bagh Adib
Published: September 2002

We modify the definition of lopsided convergence of bivariate
functionals to obtain stability results for the min/sup points of
some control problems. In particular, we develop a scheme of
finite dimensional approximations to a large class of non‐convex
control problems.
A bifurcation result for equations with anisotropic p‐Laplace‐like operators
Authors: Le Vy Khoi
Published: September 2002

The paper is concerned with a global bifurcation result
for equations whose principal parts are anisotropic
p‐Laplace‐like operators. Using an abstract
bifurcation result for equations with multivalued
operators in Banach spaces together with topological
degree calculations, we show the Rabinowitz alternative
for the bifurcating branches.
On the stability of the linear delay differential and difference equations
Authors: Ashyralyev A. , Sobolevskii P. E.
Published: September 2002

We consider the initial‐value problem for linear delay partial
differential equations of the parabolic type. We give a
sufficient condition for the stability of the solution of this
initial‐value problem. We present the stability estimates for the
solutions of the first and second order accuracy difference
schemes for approximately solving this initial‐value problem. We
obtain the stability estimates in Hölder norms for the solutions
of the initial‐value problem of the delay differential and
difference equations of the parabolic type.
Arcangeli′s type discrepancy principles for a class of regularization methods using a modified projection scheme
Authors: Nair M. T. , Rajan M. P.
Published: September 2002

Solodkĭ (1998) applied the modified projection scheme of
Pereverzev (1995) for obtaining error estimates for a class of
regularization methods for solving ill‐posed operator equations.
But, no a posteriori procedure for choosing the regularization
parameter is discussed. In this paper, we consider Arcangeli′s
type discrepancy principles for such a general class of
regularization methods with modified projection scheme.
On the method of pseudopotential for Schrödingerequation with nonlocal boundary conditions
Authors: Zasorin Yuriy Valentinovich
Published: September 2002

For stationary Schrödinger equation in ℝ n
with the finite potential the singular pseudopotential is constructed in
the form allowing us to find wave functions. The method does not
require the knowledge of the explicit form of a potential and
assumes only knowledge of the scattering amplitude for fixed level
of energy.
Existence of entropy solutions for some nonlinear problems in Orlicz spaces
Authors: Benkirane A. , Bennouna J.
Published: September 2002

We study in the framework of Orlicz Sobolev spaces
, the existence of entropic solutions to the
nonlinear elliptic problems: −div a(x,u,∇u) + div Φ(u) = f in Ω, for the case where the second
member of the equation f ∈ L 1(Ω), and .
The integral wavelet transform in weighted Sobolev spaces
Authors: Chuong Nguyen Minh , Tri Ta Ngoc
Published: September 2002

The integral wavelet transform is defined in weighted Sobolev
spaces, in which some properties of the transform as well as its
asymptotical behaviour for small dilation parameter are studied.
Syntheses of differential games and pseudo‐Riccati equations
Authors: You Yuncheng
Published: September 2002

For differential games of fixed duration of
linear dynamical systems with nonquadratic payoff functionals, it
is proved that the value and the optimal strategies as saddle
point exist whenever the associated pseudo‐Riccati equation has a
regular solution P(t, x). Then the closed‐loop optimal
strategies are given by u(t) = −R−1B∗P(t, x(t)),  v(t) = −S−1C∗P(t, x(t)). For differential game problems of
Mayer type, the existence of a regular solution to the
pseudo‐Riccati equation is proved under certain assumptions and a
constructive expression of that solution can be found by solving
an algebraic equation with time parameter.
Generic uniqueness of a minimal solution for variational problems on a torus
Authors: Zaslavski Alexander J.
Published: September 2002

We study minimal solutions for one‐dimensional variational
problems on a torus. We show that, for a generic
integrand and any rational number α, there exists a unique
(up to translations) periodic minimal solution with rotation number α.
Continuity and general perturbation of the Drazin inverse for closed linear operators
Authors: González N. Castro , Koliha J. J. , Rakočević V.
Published: September 2002

We study perturbations and continuity of the Drazin inverse of a closed linear operator A and obtain explicit error estimates in terms of the gap between closed operators and the gap between ranges and nullspaces of operators. The results are used to derive a theorem on the continuity of the Drazin inverse for closed operators and to describe the asymptotic behavior of operator semigroups.
Invariance d′un convexe fermé par un semi‐groupe associé à une forme non‐linéaire
Authors: Barthélemy Louise
Published: September 2002

The invariance of a closed and convex set under a semigroup S(t) associated with a nonlinear form is investigated. Other properties of increase and domination
of the semigroup S(t) are also derived. Examples are also given to demonstrate the power of the theoretical results.
Global solutions of semilinear heat equations in Hilbert spaces
Authors: Iancu G. Mihai , Wong M. W.
Published: September 2002

The existence, uniqueness, regularity and asymptotic
behavior of global solutions of semilinear heat equations in Hilbert spaces
are studied by developing new results in the theory of one‐parameter strongly
continuous semigroups of bounded linear operators. Applications to special
semilinear heat equations in L 2(ℝn) governed by pseudo‐differential
operators are given.
On quasilinear elliptic equations in ℝN
Authors: Alves C. O. , Concalves J. V. , Maia L. A.
Published: September 2002

In this note we give a result for the operator
p‐Laplacian complementing a theorem by Brézis and Kamin
concerning a necessary and sufficient condition for the equation
−Δu = h(x)uq in ℝN, where 0 < q < 1, to have a bounded positive solution. While Brézis
and Kamin use the method of sub and super solutions, we employ variational
arguments for the existence of solutions.
A convergence result for discreet steepest decent in weightedsobolev spaces
Authors: Mahavier W. T.
Published: September 2002

A convergence result is given for discrete descent based on Sobolev gradients arising from differential equations which may be expressed as quadratic forms. The argument is an extension of the result of David G. Luenberger on Euclidean descent and compliments the work of John W. Neuberger on Sobolev descent.
Existence of a positive solution for an nth order boundary value problem for nonlinear difference equations
Authors: Henderson Johnny , Lauer Susan D.
Published: September 2002

The nth order eigenvalue problem:

urn:x-wiley:10853375:media:aaa696821:aaa696821-math-0001

is considered, where n ≥ 2 and k ∈ {1, 2, …, n − 1} are given. Eigenvalues λ are determined for f continuous and the case where the limits and exist for all t ∈ [0, T]. Guo′s fixed point theorem
is applied to operators defined on annular regions in a cone.
Homological local linking
Authors: Perera Kanishka
Published: September 2002

We generalize the notion of local linking to include certain cases where the functional does not have a local splitting near the origin. Applications to second‐order Hamiltonian systems are given.
Uniform stabilization of a coupled structural acoustic system byboundary dissipation
Authors: Camurdan Mehmet
Published: September 2002

We consider a coupled PDE system arising in noise reduction problems. In a two dimensional chamber, the acoustic pressure (unwanted noise) is represented by a hyperbolic wave equation. The floor of the chamber is subject to the action of piezo‐ceramic patches (smart materials). The goal is
to reduce the acoustic pressure by means of the vibrations of the floor which
is modelled by a hyperbolic Kirchoff equation. These two hyperbolic equations
are coupled by appropriate trace operators. This overall model differs from those previously studied in the literature in that the elastic chamber floor is here more realistically modeled by a hyperbolic Kirchoff equation, rather than by a parabolic Euler‐Bernoulli equation with Kelvin‐Voight structural damping, as in past literature. Thus, the hyperbolic/parabolic coupled system of past literature is replaced here by a hyperbolic/hyperbolic coupled model. The main result of this paper is a uniform stabilization of the coupled PDE system by a (physically appealing) boundary dissipation.
A Riesz representation theorem for cone‐valued functions
Authors: Roth Walter
Published: September 2002

We consider Borel measures on a locally compact Hausdorff space
whose values are linear functionals on a locally convex cone. We define integrals for cone‐valued functions and verify that continuous linear functionals on certain spaces of continuous cone‐valued functions endowed with an inductive limit topology may be represented by such integrals.
Trypanosoma Cruzi‐Induced Host Immune System Dysfunction: A Rationale for Parasite Immunosuppressive Factor(s) Encoding Gene Targeting
Authors: Ouaissi Ali , Da Silva Anabela Cordeiro , Guevara Angel Gustavo , Couthino Margarida , Guilvard Eliane
Published: September 2002

An intense suppression of T cell proliferation to mitogens and to
antigens is observed in a large number of parasitic infections.
The impairment of T cell proliferation also occurred during the
acute phase of Chagas′ disease, caused by the intracellular
protozoan parasite Trypanosoma cruzi. A wealth of
evidence has accumulated that illustrates the ability of
T. cruzi released molecules to influence directly a
variety of diverse immunological functions. In this paper, we
review the data concerning the immunoregulatory effects of
T. cruzi Tc24 (a B cell activator antigen) and Tc52 (an
immunosuppressive protein) released molecules on the host immune
system. The gene targeting approach developed to further explore
the biological function(s) of Tc52 molecule, revealed interesting
unexpected functional properties. Indeed, in addition to its
immunusuppressive activity a direct or indirect involvement of
Tc52 gene product alone or in combination with other
cellular components in T. cruzi differentiation control
mechanisms have been evidenced. Moreover, targeted Tc52
replacement allowed the obtention of parasite mutants exhibiting
low virulence in vitro and in vivo. Thus, the
generation of a complete deficiency state of virulence factors by
gene targeting should provide a means to assess the importance of
these factors in the pathophysiological processes and disease
progression. It is hoped that such approaches might allow
rational design of tools to control T. cruzi
infections.
Genomic Regions That Underlie Soybean Seed Isoflavone Content
Authors: Meksem K. , Njiti V. N. , Banz W. J. , Iqbal M. J. , Kassem My. M. , Hyten D. L. , Yuang J. , Winters T. A. , Lightfoot D. A.
Published: September 2002

Soy products contain isoflavones (genistein, daidzein, and
glycitein) that display biological effects when ingested by
humans and animals, these effects are species, dose and age
dependent. Therefore, the content and quality of isoflavones in
soybeans is a key to their biological effect. Our objective was
to identify loci that underlie isoflavone content in soybean
seeds. The study involved 100 recombinant inbred lines (RIL) from
the cross of ‘Essex’ by ‘Forrest,’ two cultivars that contrast
for isoflavone content. Isoflavone content of seeds from each RIL
was determined by high performance liquid chromatography (HPLC).
The distribution of isoflavone content was continuous and
unimodal. The heritability estimates on a line mean basis were
79% for daidzein, 22% for genistein, and 88% for glycitein.
Isoflavone content of soybean seeds was compared against 150
polymorphic DNA markers in a one‐way analysis of variance. Four
genomic regions were found to be significantly associated with
the isoflavone content of soybean seeds across both locations and
years. Molecular linkage group B1 contained a major QTL
underlying glycitein content (P = 0.0001, R 2 = 50.2%), linkage
group N
contained a QTL for glycitein (P = 0.0033, R 2 = 11.1%)
and a QTL for daidzein (P = 0.0023, R 2 = 10.3%) and linkage
group A1 contained a QTL for daidzein (P = 0.0081, R 2 = 9.6%).
Selection for these chromosomal regions in a marker assisted
selection program will allow for the manipulation of amounts and
profiles of isoflavones (genistein, daidzein, and glycitein)
content of soybean seeds. In addition, tightly linked markers can
be used in map based cloning of genes associated with
isoflavone content.