bluuebunny/crossref_metadata_2025 huggingface dataset:
Torsional vibrations of nonhomogeneous magnetostrictive elastic circular cylinder
Authors: Abd-Alla A. N. , Debnath Lokenath
Published: September 2002

This paper is concerned with the torsional vibrations of a nonhomogeneous magnetostrictive elastic cylinder. The cylinder is subjected to the action of a circumferential magnetic field produced by an axial current of constant density and the deformation of a magnetostrictive cylinder is produced by a constant longitudinal magnetic field. The frequency equation is determined, and the displacement and stress components are numerically calculated with graphical presentations.

Corrigendum to
“Torsional vibrations of nonhomogeneous magnetostrictive elastic circular cylinder”dx.doi.org/10.1155/S0161171294000785
Congruences involving F‐partition functions
Authors: Sellers James
Published: September 2002

The primary goal of this note is to prove the congruence ϕ3(3n + 2) ≡ 0(mod3), where ϕ3(n) denotes the number of F‐partitions of n with at most 3 repetitions. Secondarily, we conjecture a new family of congruences involving cϕ2(n), the number of F‐partitions of n with 2 colors.
CR‐hypersurfaces of the six‐dimensional sphere
Authors: Bashir M. A.
Published: September 2002

We proved that there does not exist a proper CR‐hypersurface of S6 with parallel second fundamental form. As a result of this we showed that S6 does not admit a proper CR‐totally umbilical hypersurface. We also proved that an Einstein proper CR‐hypersurface of S6 is an extrinsic sphere.
Meromorphic univalent function with negative coefficient
Authors: Dernek A.
Published: September 2002

Let Mn be the classes of regular functions f(z) = z−1 + a0 + a1z + … defined in the annulus 0 < |z| < 1 and satisfying , (n ∈ ℕ0), where I0f(z) = f(z), If(z) = (z−1 − z(z−1)−2)∗f(z), Inf(z) = I(In−1f(z)), and ∗ is the Hadamard convolution. We denote by Γn = Mn ⋃ Γ, where Γ denotes the class of functions of the form . We obtained that relates the modulus of the coefficients to starlikeness for the classes Mn and Γn, and coefficient inequalities for the classes Γn.
A characterization of matrix variate normal distribution
Authors: Dinh Khoan T. , Nguyen Truc T.
Published: September 2002

The joint normality of two random vectors is obtained based on normal conditional with linear regression and constant covariance matrix of each vector given the value of the other without assuming the existence of the joint density. This result is applied to a characterization of matrix variate normal distribution.
Oscillation in neutral equations with an ?integrally small? coefficient
Authors: Yu J. S. , Chen Ming-Po
Published: September 2002

Consider the neutral delay differential equation

urn:x-wiley:01611712:media:ijmm295109:ijmm295109-math-0001

Where P, Q?C([t0, 8], R+), t?(0, 8) and d?R+. We obtain several sufficient conditions for the oscillation of all solutions of Eq. (*) without the restriction

urn:x-wiley:01611712:media:ijmm295109:ijmm295109-math-0002
Note on limits of simply continuous and cliquish functions
Authors: Ewert Janina
Published: September 2002

The main result of this paper is that any function f defined on a perfect Baire space (X, T) with values in a separable metric space Y is cliquish (has the Baire property) iff it is a uniform (pointwise) limit of sequence {fn : n ≥ 1} of simply continuous functions. This result is obtained by a change of a topology on X and showing that a function f : (X, T) → Y is cliquish (has the Baire property) iff it is of the Baire class 1 (class 2) with respect to the new topology.
Abelian theorems for transformable Boehmians
Authors: Nemzer Dennis
Published: September 2002

A class of generalized functions called transformable Boehmians contains a proper subspace that can be identified with the class of Laplace transformable distributions. In this note, we establish some Abelian theorems for transformable Boehmians.
Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane
Authors: Mondal H. K. , Chaudhury T. K.
Published: September 2002

Steady two‐dimensional free convection flow of a thermally stratified viscous fluid through a highly porous medium bounded by a vertical plane surface of varying temperature, is considered. Analytical expressions for the velocity, temperature and the rate of heat transfer are obtained by perturbation method. Velocity distribution and rate of heat transfer for different values of parameters are shown in graphs. Velocity distribution is also obtained for certain values of the parameters by integrating the coupled differential equations by Runge‐Kutta method and compared with the analytical solution. The chief concern of the paper is to study the effect of equilibrium temperature gradient on the velocity and the rate of heat transfer.
Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain
Authors: Rabello Tania Nunes
Published: September 2002

In this paper we study the existence of solutions of the following nonlinear hyperbolic svstem

urn:x-wiley:01611712:media:ijmm425794:ijmm425794-math-0001

where Q is a noncylindrical domain of ℝn+1 with lateral boundary Σ, u − (u1, u2) a vector defined on Q, {A(t),    0 ≤ t ≤ +∞} is a family of operators in , where A(t)u = (A(t)u1, A(t)u2) and G : ℝ2 → ℝ2 a continuous function such that x.G(x) ≥ 0, for x ∈ ℝ2.

Moreover, we obtain that the solutions of the above system with dissipative term u′ have exponential decay.
On rings with prime centers
Authors: Abu-Khuzam Hazar , Yaqub Adil
Published: September 2002

Let R be a ring, and let C denote the center of R. R is said to have a prime center if whenever ab belongs to C then a belongs to C or b belongs to C. The structure of certain classes of these rings is studied, along with the relation of the notion of prime centers to commutativity. An example of a non‐commutative ring with a prime center is given.
Fixed point theorems for a sum of two mappings in locally convex spaces
Authors: Vijayaraju P.
Published: September 2002

Cain and Nashed generalized to locally convex spaces a well known fixed point theorem of Krasnoselskii for a sum of contraction and compact mappings in Banach spaces. The class of asymptotically nonexpansive mappings includes properly the class of nonexpansive mappings as well as the class of contraction mappings. In this paper, we prove by using the same method some results concerning the existence of fixed points for a sum of nonexpansive and continuous mappings and also a sum of asymptotically nonexpansive and continuous mappings in locally convex spaces. These results extend a result of Cain and Nashed.
(Quasi)‐uniformities on the set of bounded maps
Authors: Papadopoulos Basil K.
Published: September 2002

From real analysis it is known that if a sequence {fn,    n ∈ ℕ} of real‐valued functions defined and bounded on X ⊂ ℝ converges uniformly to f, then f is also bounded and the sequence {fn,    n ∈ ℕ}. In the present paper we generalize results as the above using (quasi)‐uniform structures.
Existence of weak solutions for abstract hyperbolic‐parabolic equations
Authors: Clark Marcondes Rodrigues
Published: September 2002

In this paper we study the Existence and Uniqueness of solutions for the following Cauchy problem:

urn:x-wiley:01611712:media:ijmm283109:ijmm283109-math-0001

urn:x-wiley:01611712:media:ijmm283109:ijmm283109-math-0002

where A1 and A2 are bounded linear operators in a Hilbert space H, {A(t)}0≤t≤T is a family of self‐adjoint operators, M is a non‐linear map on H and f is a function from (0, T) with values in H.

As an application of problem (1) we consider the following Cauchy problem:

urn:x-wiley:01611712:media:ijmm283109:ijmm283109-math-0003

urn:x-wiley:01611712:media:ijmm283109:ijmm283109-math-0004

where Q is a cylindrical domain in ℝ4; k1 and k2 are bounded functions defined in an open bounded set Ω ⊂ ℝ3,

urn:x-wiley:01611712:media:ijmm283109:ijmm283109-math-0005

where aij and are bounded functions on Ω and f is a function from (0, T) with values in L2(Ω).
Equilibria of generalized games with L‐majorized correspondences
Authors: Ding Xie Ping , Kim Won Kyu , Tan Kok-Keong
Published: September 2002

In this paper, we shall prove three equilibrium existence theorems for generalized games in Hausdorff topological vector spaces.
J‐rings of characteristic two that are boolean
Authors: Hansen D. J. , Luh Jiang , Ye Youpei
Published: September 2002

This paper is concerned with determining all integers n, with n ≥ 2, such that if R is a ring having the property that xn = x and 2x = 0 for each x ∈ R, then R is boolean. The solution to the above problem extends previous results obtained by Shiue and Chao in [5] and that of MacHale in [4].
Addendum to a paper of Craig and Goodman
Authors: Gorman Arthur D.
Published: September 2002

In [1], Craig and Goodman develop the geometrical optics solution of the linearized Korteweg‐deVries equation away from caustic, or turning, points. Here we develop an analogous solution valid at caustic points.
A stability result for parameter identification problems in nonlinear parabolic problems
Authors: Migórski Stanislaw
Published: September 2002

A sequence of identification problems of coefficients in the parabolic equation with
nonlinear boundary conditions is considered. The parameter (index of an element of the sequence)
appears in the cost functionals as well as boundary data. It is proved that the optimal solutions
exist and that under some continuous convergence of the cost functionals and the convergence of
the data, the sets of optimal solutions converge in some sense to the set of optimal solutions of
the limit problem.
Computable error bounds for collocation methods
Authors: Ahmed A. H.
Published: September 2002

This paper deals with error bounds for numerical solutions of linear ordinary
differential equations by global or piecewise polynomial collocation methods which are based on
consideration of the involved differential operator, related matrices and the residual. It is shown
that significant improvement may be obtained if direct bounds for the error in the solution are
considered. The practical implementation of the theory is illustrated by a selection of numerical
examples.
Wave loadings on a vertical cylinder due to heave motion
Authors: Bhatta D. D. , Rahman M.
Published: September 2002

Wave forces and moments due to scattering and radiation for a vertical circular
cylinder heaving in water of finite depth are derived analytically. These are derived from the total
velocity potential which can be decomposed as two velocity potentials; one due to scattering in the
presence of an incident wave on fixed structure (diffraction problem), and the other due to radiation
by the heave motion on calm water (radiation problem). For each part, the velocity potential is
derived by considering two regions, namely, interior region and exterior region. The complex matrix
equations are solved numerically to determine the unknown coefficients to compute the wave loads.
Some numerical results are presented for different depth to radius and draft to radius ratios.
Vector fields generating more than one flow
Authors: Dorosiewicz Slawomir , Napiórkowski Kazimierz
Published: September 2002

Vector fields generating more than one flow on a manifold are
constructed. For one‐dimensional case a complete description of the set of flows
is given. For dimensions larger than one a method of constructing vector fields
with dense or open branched sets sets is given. Density of vector fields with
nonempty sets of branched points is studied.
Well‐posedness and regularity results for a dynamic Von Kármán plate
Authors: Bradley M. E.
Published: September 2002

We consider the problem of well‐posedness and regularity of solutions for a dynamic von Kármán plate
which is clamped along one portion of the boundary and which experiences boundary damping through free edge
conditions on the remainder of the boundary. We prove the existence of unique strong solutions for this system
Existence of periodic solutions for nonlinear Lienard systems
Authors: Kim Wan Se
Published: September 2002

We prove the existence and multiplicity of periodic solutions for nonlinear Lienard
System of the type

urn:x-wiley:01611712:media:ijmm962802:ijmm962802-math-0001

under various conditions upon the functions g, h and e.
An application of the Sakai′s theorem to the characterization of H*‐algebras
Authors: Zalar Borut
Published: September 2002

The well‐known Sakai′s theorem, which states that every derivation acting on a von
Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow′s characterization
theorem for associative H*‐algebras via two‐sided H*‐algebras. This proof completely avoids
structure theory.
Computations for a vibrating system diagonalize the variance
Authors: Boyd J. N. , Raychowdhury P. N.
Published: September 2002

The transformations to diagonalize potential energy matrices for coupled harmonic
oscillators will also diagonalize the variance when written in matrix form. After a brief review of
a geometrical interpretation of the variance, the transformations are described and an example is
given.
A common fixed point theorem for a sequence of fuzzy mappings
Authors: Rhoades B. E.
Published: September 2002

We obtain a common fixed point theorem for a sequence of fuzzy mappings, satisfying
a contractive definition more general than that of Lee, Lee, Cho and Kim [2].

Let (X, d) be a complete linear metric space. A fuzzy set A in X is a function from X into
[0, 1]. If x ∈ X, the function value A(x) is called the grade of membership of X in A. The α‐level
set of A, Aα : = {x : A(x) ≥ α,  if α ∈ (0, 1]}, and . W(X) denotes the
collection of all the fuzzy sets A in X such that Aα is compact and convex for each α ∈ [0, 1]
and supx∈XA(x) = 1. For A, B ∈ W(X), A ⊂ B means A(x) ≤ B(x) for each x ∈ X. For
A, B ∈ W(X), α ∈ [0, 1], define

urn:x-wiley:01611712:media:ijmm465769:ijmm465769-math-0002

,
where dH is the Hausdorff metric induced by the metric d. We notc that Pα is a nondecrcasing
function of α and D is a metric on W(X).

Let X be an arbitrary set, Y any linear metric space. F is called a fuzzy mapping if F is a
mapping from the set X into W(Y).

In earlier papers the author and Bruce Watson, [3] and [4], proved some fixed point theorems
for some mappings satisfying a very general contractive condition. In this paper we prove a fixed
point theorem for a sequence of fuzzy mappings satisfying a special case of this general contractive
condition. We shall first prove the theorem, and then demonstrate that our definition is more
general than that appearing in [2].

Let D denote the closure of the range of d. We shall be concerned with a function Q, defined
on d and satisfying the following conditions:

urn:x-wiley:01611712:media:ijmm465769:ijmm465769-math-0003

LEMMA 1. [1] Let (X, d) be a complete linear metric space, F a fuzzy mapping from X
into W(X) and x0 ∈ X. Then there exists an x1 ∈ X such that {x1} ⊂ F(x0).
Cohomology with Lp‐bounds on polycylinders
Authors: Darko P. W. , Lutterodt C. H.
Published: September 2002

Let Ω = Ω1 × …×Ωn be a polycylinder in ℂn, that is each Ωj is bounded,
non‐empty and open in ℂ. The main result proved here is that, if Bp is the sheaf of germs of
Lp‐holomorphic functions on then for q ≥ 1. The proof of this is then used to
establish a Leray′s Isomorphism with Lp‐bounds theorem.
Almost principal element lattices
Authors: Jayaram C. , Johnson E. W.
Published: September 2002

In this paper, we investigate C‐lattices for which every localization is a principal
element lattice.
On the determination of optimal time horizon in a control problem in natural resource economics
Authors: Kumar Ramesh C. , Naqib Fadle M.
Published: September 2002

This paper is concerned with issues relating to the determination of optimal time
horizon in a typical control problem of optimal extraction of an exhaustible natural resource. The paper
extends the recent Highfill‐McAsey results to cover all strictly concave utility functions.
Homomorphism and sigma polynomials
Authors: Gillman Richard Alan
Published: September 2002

By establishing a connection between the sigma polynomial
and the homomorphism polynomial, many of the proofs for computing the
sigma polynmial are simplified, the homomorphism polynomial can be
identified for several new classes of graphs, and progress can be made
on identifying homomorphism polynomials.
On the Nachbin compactification of products of totally ordered spaces
Authors: Kent D. C. , Liu Dongmei , Richmond T. A.
Published: September 2002

Necessary and sufficient conditions are given for β0(X × Y) = β0X × β0Y, where
X and Y are totally ordered spaces and β0X denotes the Nachbin (or Stone‐Čech ordered) compactification
of X.
On certain sequence spaces II
Authors: Kizmaz Hüsnü
Published: September 2002

In this paper we define the space co(Δ) = {x = (xk)/xk − kk−1 → 0(k → ∞), xo = 0, xk ∈ ℂ} and compute
its duals (Continuous dual, β‐dual and N‐dual) The aim of this paper is to give same results about matrix mapping
of co(Δ) into other sequence spaces including the convergent sequences, null sequences and bounded
sequences.
A note on metric preserving functions
Authors: Dobos Jozef , Piotrowski Zbigniew
Published: September 2002

The purpose of this note is to study modifications of the Euclidean metric on IR with the following property. There is a monotone sequence of closed balls with empty intersection.
Invariance of recurrence sequences under a galois group
Authors: Al-Zaid Hassan , Singh Surjeet
Published: September 2002

Let F be a Galois field of order q, k a fixed positive integer and R = Fk×k[D]
where D is an indeterminate. Let L be a field extension of F of degree k. We identify Lf with fk×1 via
a fixed normal basis B of L over F. The F‐vector space Γk(F)( = Γ(L)) of all sequences over Fk×1 is
a left R‐module. For any regular f(D) ∈ R, Ωk(f(D)) = {S ∈ Γk(F) : f(D)S = 0} is a finite F[D]‐module whose members are ultimately periodic sequences. The question of invariance of a Ωk(f(D))
under the Galois group G of L over F is investigated.
Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic‐parabolic equations
Authors: Colli Pierluigi , Favini Angelo
Published: September 2002

In this paper we deal with the equation L(d2u/dt2) + B(du/dt) + Au∋f, where L and A are linear positive selfadjoint operators in a Hilbert space H and from a Hilbert space V ⊂ H to its dual space V′, respectively, and B is a maximal monotone operator from V to
V′. By assuming some coerciveness on L + B and A, we state the existence and uniqueness of the solution for the corresponding initial value problem. An approximation via finite differences in time is provided and convergence results along with error estimates are presented.
On the theorems of Y. Mibu and G. Debs on separate continuity
Authors: Piotrowski Zbigniew
Published: September 2002

Using a game‐theoretic characterization of Baire spaces, conditions upon the domain and
the range are given to ensure a fat set C(f) of points of continuity in the sets of type X × {y}, y ∈ Y for certain almost separately continuous functions f : X × Y → Z. These results (especially Theorem B) generalize Mibu′s. First Theorem, previous theorems of the author, answers one of his problems as well as they are closely related to some other results of Debs [1] and Mibu [2].
Close‐to‐starlike logharmonic mappings
Authors: Abdulhadi Zayid
Published: September 2002

We consider logharmonic mappings of the form defined on the unit disc U which can be written as the product of a logharmonic mapping with positive real part and a univalent starlike logharmonic mapping. Such mappings will be called close‐to‐starlike logharmonic mappings. Representation theorems and distortion theorems are obtained. Moreover, we determine the radius of univalence and starlikeness of these mappings.
Characterizations of multinomial distributions based on conditional distributions
Authors: Dinh Khoan T. , Nguyen Truc T. , Wang Yining
Published: September 2002

Several characterizations of the joint multinomial distribution of two discrete random vectors are derived assuming conditional multinomial distributions.
On hyper‐reflexivity of some operator spaces
Authors: Mustafayev H. S.
Published: September 2002

In the present note, we define operator spaces with n‐hyper‐reflexive property, and prove n‐hyper‐reflexivity of some operator spaces.
Non‐archimedean Eberlein‐ mulian theory
Authors: Kiyosawa T. , Schikhof W. H.
Published: September 2002

It is shown that, for a large class of non‐archimedean normed spaces
E, a subset
X is weakly compact as soon as f(X) is compact for all f ∈ E′ (Theorem 2.1), a fact that has
no analogue in Functional Analysis over the real or complex numbers. As a Corollary we derive
a non‐archimedean version of the Eberlein‐ mulian
Theorem (2.2 and 2.3, for the classical
theorem, see [1], VIII, §2 Theorem and Corollary, page 219).
Weak solutions of degenerated quasilinear elliptic equations of higher order
Authors: Drábek Pavel , Kufner Alois , Nicolosi Francesco
Published: September 2002

We prove the existence of weak solutions of higher order
degenerated quasilinear elliptic equations.
The main tools are the degree theory for generalized monotone mappings
and imbedding theorems between weighted
Sobolev spaces. The straightforward use of these imbeddings allows
us to consider more general assumptions than
those in our preceding paper [3].
An extension of a best approximation theorem
Authors: Carbone A.
Published: September 2002

In this paper an extension of a theorem of Prolla is given and several interesting
corollaries are derived. Fixed point results are also given in the end.
Asymptotic behavior of almost‐orbits of reversible semigroups of non‐Lipschitzian mappings in Banach spaces
Authors: Jung Jong Soo , Park Jong Yeoul , Park Jong Seo
Published: September 2002

Let C be a nonempty closed convex subset of a uniformly convex Banach space E with a
Fréchet differentiable norm, G a right reversible semitopological semigroup, and 𝒮 = {S(t) : t ∈ G} a
continuous representation of G as mappings of asymptotically nonexpansive type of C into itself. The
weak convergence of an almost‐orbit {u(t) : t ∈ G} of 𝒮 = {S(t) : t ∈ G} on C is established.
Furthermore, it is shown that if P is the metric projection of E onto set F(S) of all common fixed points
of 𝒮 = {S(t) : t ∈ G}, then the strong limit of the net {Pu(t) : t ∈ G} exists.
On the moments of random variables uniformly distributed over a polytope
Authors: Paramasamy S.
Published: September 2002

Suppose X = (X1, X2, …, Xn) is a random vector uniformly distributed over a polytope.
In this note, the author derives a formula for , (the expected value of ), in terms of
the extreme points of the polytope.
A note on semiprime rings with derivation
Authors: Hongan Motoshi
Published: September 2002

Let R be a 2‐torsion free semiprime ring, I a nonzero ideal of R, Z the center
of R and D : R → R a derivation. If d[x, y] + [x, y] ∈ Z or d[x, y] − [x, y] ∈ Z for all x, y ∈ I,
then R is commutative.
On the inverse image of Baire spaces
Authors: Çiçek Mustafa
Published: September 2002

In 1961, Z. Frolik proved that if f is an open and continuous mapping of a metrizable
separable space X onto Baire space Y and if the point inverses are Baire spaces, then X is a
Baire space. We give a generalization to semi‐continuous and semi‐open mapping of this theorem
and extended it to the several types of mappings.
Common fuzzy hybrid fixed point theorems for a sequence of fuzzy mappings
Authors: Chuan Shi
Published: September 2002

In this paper, we discuss the concepts of fuzzy hybrid fixed points, of g‐Φ‐contractive
type fuzzy mappings and common fuzzy hybrid fixed point theorems of a sequence of fuzzy mappings.
Our theorems improve and generalize the corresponding recent important results.
Pure Baer injective modules
Authors: Al Thani Nada M.
Published: September 2002

In this paper we generalize the notion of pure injectivity of modules by introducing what
we call a pure Baer injective module. Some properties and some characterization of such modules are
established. We also introduce two notions closely related to pure Baer injectivity; namely, the notions of
a ∑‐pure Baer injective module and that of SSBI‐ring. A ring R is an SSBI‐ring if and only if every
smisimple R‐module is pure Baer injective. To investigate such algebraic structures we had to define
what we call p‐essential extension modules, pure relative complement submodules, left pure hereditary
rings and some other related notions. The basic properties of these concepts and their interrelationships
are explored, and are further related to the notions of pure split modules.
A formula to calculate the spectral radius of a compact linear operator
Authors: Bonales Fernando Garibay , Mendoza Rigoberto Vera
Published: September 2002

There is a formula (Gelfand′s formula) to find the spectral radius of a linear operator
defined on a Banach space. That formula does not apply even in normed spaces which are not complete.
In this paper we show a formula to find the spectral radius of any linear and compact operator T defined
on a complete topological vector space, locally convex. We also show an easy way to find a non‐trivial
T‐invariant closed subspace in terms of Minkowski functional.
Wave growth patterns in a non‐linear dispersive system with instability and dissipation
Authors: Gera Dinesh , Gautam Mridul , Gangarao Hota V. S.
Published: September 2002

A simple one‐dimensional non linear equation including effects of instability, dissipation, and
dispersion is examined numerically. Periodic solution of a non linear dispersive equation is presented for
different values of α, β, and γ characterizing the constants for instability, dissipation, and dispersion
respectively. In this paper, the growth pattern for the wave at different time intervals is discussed. Various
equilibrium states with different initial configuration have been observed depending on initial conditions.
Fixed point theorems for compatible mappings with applications to the solutions of functional equations arising in dynamic programmings
Authors: Huang Nan-Jing , Lee Byung Soo , Kang Mee Kwang
Published: September 2002

Some common fixed point theorems for compatible mappings are shown As an
application, the existence and uniqueness of common solutions for a class of functional equations arising
in dynamic programmings are discussed.
Relatively bounded and compact perturbations of nth order differential operators
Authors: Anderson Terry G.
Published: September 2002

A perturbation theory for nth order differential operators is developed. For certain
classes of operators L, necessary and sufficient conditions are obtained for a perturbing operator B to
be relatively bounded or relatively compact with respect to L. These perturbation conditions involve
explicit integral averages of the coefficients of B. The proofs involve interpolation inequalities.
On some compact almost Kähler locally symmetric space
Authors: Oguro Takashi
Published: September 2002

In the framework of studying the integrability of almost Kähler manifolds,
we prove that if a compact almost Kähler locally symmetric space M is a weakly ,∗‐Einstein
vnanifold with non‐negative ,∗‐scalar curvature, then M is a Kähler manifold.
A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space
Authors: Kim Young Sik
Published: September 2002

The purpose of this paper is to establish the existence of analytic Wiener and
Feynman integrals for a class of certain cylinder functions which is of the form:

urn:x-wiley:01611712:media:ijmm132848:ijmm132848-math-0001

on the abstract Wiener space, and to establish the relationship between the Wiener integral and
the analytic Feynman integral for such cylinder functions on the abstract Wiener space. We
then establish a change of scale formula for Wiener integrals of such cylinder functions on the
abstract Wiener space.
Some properties of Urysohn‐Stieltjes integral operators
Authors: Banaś Józef
Published: September 2002

We investigate some properties of Urysohn‐Stieltjes integral operators. The assumptions
will be formulated under which the operators in question transform the space of coatinuous
functions into itself or in the space of functions of bounded variation, are continuous or are
compact. The solvability of an integral equation of Urysohn‐Stieltjes type will be also discussed
Integers representable by (x + y + z) 3/xyz
Authors: Brueggeman Sharon A.
Published: September 2002

In [1], A. Bremner and R. K. Guy discuss the problem of findin8 integers which may
be represented by (x + y + z) 3/xyz where X, Y, Z are integers. To this end, they present tables of
solutions for integers n in the range −200 ≤ n ≤ 200 and offer several parametric solutions which
involve both positive and negative integers. We present four infinite families of solutions which
involve only positive intesers. Furthermore, these families contain sequences that are generated
by linearly recursive relations.
On generalizations of the Pompeiu functional equation
Authors: Kannappan Pl. , Sahoo P. K.
Published: September 2002

In this paper, we determine the general solution of the functional equations

urn:x-wiley:01611712:media:ijmm982654:ijmm982654-math-0001

and

urn:x-wiley:01611712:media:ijmm982654:ijmm982654-math-0002

which are generalizations of a functional equation studied by Pompeiu. We present a method
which is simple and direct to determine the general solutions of the above equations without
any regularity assumptions.
On modules of continuous linear mappings
Authors: Pombo Dinamérico P.
Published: September 2002

Modules of continuous linear mappmgs with values n topological modules of continuous
mappings are studied.
A note on commutativity of automorphisms
Authors: Samman M. S. , Chaudhry M. Anwar , Thaheem A. B.
Published: September 2002

Let α
and β automorphisms of a ring satisfying the equation α + α−1 = β + β−1. In
this paper we prove some results where this equation itself implies the commutativity of α
and β.
The Neumann problem for the 2‐D Helmholtz equation in a domain, bounded by closed and open curves
Authors: Krutitskii P. A.
Published: September 2002

The Neumann problem for the dissipative Helmholtz equation in a connected
plane region bounded by closed and open curves is studied. The existence of classical solution is
proved by potential theory. The problem is reduced to the Fredholm equation of the second kind,
which is uniquely solvable. Our approach holds for both internal and external domains.
Quasiorders, principal topologies, and partially ordered partitions
Authors: Richmond Thomas A.
Published: September 2002

The quasiorders on a set X are equivalent to the topologies on X which are closed under arbitrary intersections. We consider the quaisorders on X to be partial orders on the blocks of a partition of X and use this approach to survey some fundamental results on the lattice of quasiorders on X.
Observations on a variant of compatibility
Authors: Jungck G.
Published: September 2002

We consider a variation of the concept of compatible maps introduced by Hicks and
Saliga [1], and obtain generalizations ofresults by Hicks and Saliga and others.
On a class of semilinear elliptic problems near critical growth
Authors: Goncalves J. V. , Meira S.
Published: September 2002

We use Minimax Methods and explore compact embedddings in the context of
Orlicz and Orlicz‐Sobolev spaces to get existence of weak solutions on a class of semilinear elliptic
equations with nonlinearities near critical growth. We consider both biharmonic equations with
Navier boundary conditions and Laplacian equations with Dirichlet boundary conditions.
Quasi‐homogeneous associative functions
Authors: Ebanks Bruce R.
Published: September 2002

A triangular norm is a special kind of associative function on the closed unit interval [0, 1].
Triangular norms (or t‐norms) were introduced in the context of probabilistic metric space theory, and they
have found applications also in other areas, such as fuzzy set theory. We determine the explicit forms of all
t‐norms which satisfy a generalized homogeneity property called quasi‐homogeneity.
Computable error bounds with improved applicability conditions for collocation methods
Authors: Ahmed A. H.
Published: September 2002

This paper is concerned with error bounds for numerical solution of linear ordinary
differential equation using collocation method. It is shown that if the differential operator is split in
different operator forms then the applicability conditions for the computable error bounds which are
based on the collocation matrices could be improved
Lucas partitions
Authors: Robbins Neville
Published: September 2002

The Lucas sequence is defined by:
L0 = 2, L1 = 1, Ln = Ln−1 + Ln−2 for n ≥ 2. Let
V(n), r(n) denote respectively the number of partitions of n into parts, distinct parts from {Ln}. We
develop formulas that facilitate the computation of V(n) and r(n).
An embedding of Schwartz distributions in the algebra of asymptotic functions
Authors: Oberguggenberger Michael , Todorov Todor
Published: September 2002

We present a solution of the problem of multiplication of Schwartz distributions by
embedding the space of distributions into a differential algebra of generalized functions, called in the
paper “asymptotic function,” similar to but different from J. F Colombeau′s algebras of new generalized
functions.
Local compactness in approach spaces I
Authors: Lowen R. , Verbeeck C.
Published: September 2002

This paper introduces some definitions of a concept of local compactness in approach
spaces. The basic relationships between these concepts is studied, and measures of local
compactness are defined.
Probabilistic convergence spaces and generalized metric spaces
Authors: Brock Paul
Published: September 2002

The category PPRS(Δ), whose objects are probabilistic pretopological spaces
which satisfy an axiom (Δ) and whose morphisms are continuous mappings, is introduced. Categories
consisting of generalized metric spaces as objects and contraction mappings as morphisms
are embedded as full subcategories of PPRS(Δ). The embeddings yield a description of metric
spces and their most natural generalizations entirely in terms of convergence criteria.
On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connected
Authors: Tzannes V.
Published: September 2002

We prove that a countable connected Hausdorff space in which the intersection of
every pair of connected subsets is connected, cannot be locally connected, and also that every
continuous function from a countable connected, locally connected Hausdorff space, to a countable
connected Hausdorff space in which the intersection of every pair of connected subsets is connected,
is constant.
Necessary and sufficient conditions for the oscillation of delay differential equation with a piecewise constant argument
Authors: Agwo H. A.
Published: September 2002

The characteristic equation for an equation with continuous and piecewise constant
argument in the form

urn:x-wiley:01611712:media:ijmm659532:ijmm659532-math-0001

is presented, which when
q = 0 reduces to

urn:x-wiley:01611712:media:ijmm659532:ijmm659532-math-0002

and when p = 0 reduces to

urn:x-wiley:01611712:media:ijmm659532:ijmm659532-math-0003

.
Also, the necessary and sufficient conditions for oscillation are obtained.
Regularized sum for eigenfunctions of multi‐point problem in the commensurable case
Authors: Saleh S. A.
Published: September 2002

Consider the eigenvalue problem which is given in the interval [0, π] by the
differential equation

urn:x-wiley:01611712:media:ijmm479193:ijmm479193-math-0001

and multi‐point conditions

urn:x-wiley:01611712:media:ijmm479193:ijmm479193-math-0002

where q(x) is sufficiently smooth function defined in the interval [0, π]. We assume that the points
X3, X4, …, Xn divide the interval [0, 1] to commensurable parts and
α1β2 − α2β1 ≠ 0. Let
be the eigenvalues of the problem (0.1)‐(0.2) for which we shall assume that they are
simple, where k, s, are positive integers and suppose that Hk,s(x, ξ) are the residue of Green′s
function
G(x, ξ, ρ) for the problem (0.1)‐(0.2) at the points ρk,s. The aim of this work is to calculate the regularized sum which is given by the form:

urn:x-wiley:01611712:media:ijmm479193:ijmm479193-math-0004

The above summation can be represented by the coefficients of the asymptotic expansion of the function G(x, ξ, ρ) in negative powers of
k. In series (0.3) σ is an integer, while Rk,s(σ, x, ξ, ρ)

is a function of variables
x, ξ, and defined in the square [0, π]x[0, π] which ensure the convergence
of the series (0.3).
Related fixed point theorems on two complete and compact metric spaces
Authors: Namdeo R. K. , Tiwari N. K. , Fisher B. , Taş Kenan
Published: September 2002

A new related fixed point theorem on two complete metric spaces is obtained. A generalization is given for two compact metric spaces.
A closer look at some new identities
Authors: Campbell Geoffrey B.
Published: September 2002

We obtain infinite products related to the concept of visible from the origin point vectors.
Among these is

urn:x-wiley:01611712:media:ijmm289376:ijmm289376-math-0001

in which φ3(k) denotes for fixed k, the number of positive integer solutions of (a, b, k) = 1 where
a < b < k, assuming (a, b, k) is the gcd(a, b, k).
An example of an almost hyperbolic Hermitian manifold
Authors: Bejan Cornelia-Livia , Ornea Liviu
Published: September 2002

The almost hyperbolic Hermitan manifolds introduced in [1] were classified for the first
time in [2]. In this note we construct an example of an almost hyperbolic Hermitan manifold which
belongs to a certain class that we study here.
Some remarks concerning finitely Subadditive outer measures with applications
Authors: Knight John E.
Published: September 2002

The present paper is intended as a first step toward the establishment of a general theory
of finitely subadditive outer measures. First, a general method for constructing a finitely subadditive
outer measure and an associated finitely additive measure on any space is presented. This is followed by
a discussion of the theory of inner measures, their construction, and the relationship of their properties to
those of an associated finitely subadditive outer measure. In particular, the interconnections between the
measurable sets determined by both the outer measure and its associated inner measure are examined.
Finally, several applications of the general theory are given, with special attention being paid to various
lattice related set functions.
Structure of the antieigenvectors of a strictly accretive operator
Authors: Das K. C. , Gupta M. Das , Paul K.
Published: September 2002

A necessary and sufficient condition that a vector
f is an antieigenvector of a
strictly accretive operator A is obtained. The structure of antieigenvectors of selfadjoint and certain
class of normal operators is also found in terms of eigenvectors. The Kantorovich inequality for
selfadjoint operators and the Davis′s inequality for normal operators are then easily deduced. A
sort of uniqueness is also established for the values of
Re(Af, f) and ‖Af‖ if the first antieigenvalue, which is equal to min Re(Af, f)/(‖Af‖‖f‖) is attained at the unit vector f.
Topological properties of spaces ordered by preferences
Authors: Alcantud J. C. R.
Published: September 2002

In this paper, we analyze the main topological properties of a
relevant class of topologies associated with spaces ordered by preferences
(asymmetric, negatively transitive binary relations). This class consists
of certain continuous topologies which include the order topology. The
concept of saturated identification is introduced in order to provide a
natural proof of the fact that all these spaces possess topological
properties analogous to those of linearly ordered topological spaces,
inter alia monotone and hereditary normality, and complete regularity.
On 2‐orthogonal polynomials of Laguerre type
Authors: Douak Khalfa
Published: September 2002

Let be a sequence of 2‐orthogonal monic polynomials relative to linear functionals ω0 and ω1 (see Definition 1.1). Now, let be the sequence of polynomials defined by . When is, also, 2‐orthogonal, is called “classical” (in the sense of having the Hahn property). In this case, both and satisfy a third‐order recurrence relation (see below). Working on the recurrence coefficients, under certain assumptions and well‐chosen parameters, a classical family of 2‐orthogonal polynomials is presented. Their recurrence coefficients are explicitly determined. A generating function, a third‐order differential equation, and a differential‐recurrence relation satisfied by these polynomials are obtained. We, also, give integral representations of the two corresponding linear functionals ω0 and ω1 and obtain their weight functions which satisfy a second‐order differential equation. From all these properties, we show that the resulting polynomials are an extention of the classical Laguerre′s polynomials and establish a connection between the two kinds of polynomials.
On real hypersurfaces in quaternionic projective space with 𝒟⊥‐recurrent second fundamental tensor
Authors: Suh Young Jin , Pérez Juan De Dios
Published: September 2002

In this paper, we give a complete classification of real
hypersurfaces in a quaternionic projective space QPm with 𝒟⊥‐recurrent second fundamental tensor under certain condition on the orthogonal distribution 𝒟.
On approximation of copulas
Authors: Kulpa Tomasz
Published: September 2002

New sufficient conditions for strong approximation of copulas,
generated by sequences of partitions of unity, are given. Results are applied to the checkerboard and Bernstein approximations.
Sections of simplices
Authors: Prabhu Nagabhushana
Published: September 2002

We show that for ⌊d/2⌋ ≤ k ≤ d, the relative interior of every k‐face of a d‐simplex Δd can be intersected by a 2(d − k)‐dimensional affine flat. Bezdek, Bisztriczky, and Connelly′s results [2] show that the condition k ≥ ⌊d/2⌋ above cannot be dropped and hence raise the question of determining, for all 0 ≤ k, j < d, an upper bound on the function c(j, k; d), defined as the smallest number of j‐flats, j < d, needed to intersect the relative interiors of all the k‐faces of Δd. Using probabilistic arguments, we show that

urn:x-wiley:01611712:media:ijmm592863:ijmm592863-math-0001

Finally, we consider the function M(j, k; d), defined as the largest number of k‐faces of Δd whose relative interiors can be intersected by a j‐flat. We show that, for large d and for all k such that k + j ≥ d, M(j, k; d) ≤ f⌈3j/4⌉−1(d + 1, j), where fm(n, q) is the number of m‐faces in a cyclic q‐polytope with n‐vertices. Our results suggest a conjecture about face‐lattices of polytopes that if proved, would play a useful role in further studies on sections of polytopes.
A new proof of monotonicity for extended mean values
Authors: Qi Feng , Xu Sen-Lin , Debnath Lokenath
Published: September 2002

In this article, a new proof of monotonicity for extended mean
values is given.
A short proof of an identity of Sylvester
Authors: Bhatngar Gaurav
Published: September 2002

We present two short proofs of an identity found by Sylvester and rediscovered by Louck. The first proof is an elementary version of Knuth′s proof
and is analogous to Macdonald′s proof of a related identity of Milne. The second is Sylvester′s own proof of his identity.
A proper subclass of Maclane′s class 𝒜
Authors: Hamdan May
Published: September 2002

The MacLane′s class 𝒜 of analytic functions is the class of nonconstant analytic functions in the unit disk that have asymptotic values at a dense subset of the unit circle. In this
paper, we define a subclass ℛ of 𝒜 consisting of those functions that have asymptotic values at a dense subset of the unit circle reached along rectifiable asymptotic paths. We also show that the class ℛ is a proper subclass of 𝒜 by constructing a function f ∈ 𝒜 that admits no asymptotic paths of finite length.
On the distribution of ramification points in trigonal curves
Authors: Carvalho Cícero F.
Published: September 2002

We study the distribution of the total and ordinary ramification points of a trigonal curve over the intersection of this curve with rational curves on a rational normal scroll. We show, among other results, that these intersections may contain all the ramification points of the trigonal curve.
Webbed spaces, double sequences, and the Macke convergence condition
Authors: García-Martínez Armando
Published: September 2002

In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space satisfies the Mackey convergence condition. In the more general frame of topological vector spaces, this theorem and its inverse are studied. The techniques used are double sequences and the localization theorem for webbed spaces.
A note on convex functions
Authors: Syau Yu-Ru
Published: September 2002

In this paper, we give two weak conditions for a lower semi‐continuous function on the n‐dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi‐convex functions.
Generalized strongly set‐valued nonlinear complementarity problems
Authors: Huang Nan-Jing , Je Cho Yeol
Published: September 2002

In this paper, we introduce a new class of generalized strongly
set‐valued nonlinear complementarity problems and construct new
iterative algorithms. We show the existence of solutions for this
kind of nonlinear complementarity problems and the convergence of
iterative sequences generated by the algorithm. Our results extend
some recent results in this field.
On a density problem of Erdös
Authors: Akbik Safwan
Published: September 2002

For a positive integer n, let P(n) denotes the largest prime divisor of n and define the set: 𝒮(x) = 𝒮 = {n ≤ x : n   does not divide   P(n)!}. Paul Erdös has proposed that |S| = o(x) as x → ∞, where |S| is the number of n ∈ S. This was proved by Ilias Kastanas. In this paper we will show the stronger result that .
Regularity of conservative inductive limits
Authors: Kucera Jan
Published: September 2002

A sequentially complete inductive limit of Fréchet spaces is regular, see [3]. With a minor modification, this property can be extended to inductive limits of arbitrary locally convex spaces under an additional assumption of conservativeness.
On fuzzy function spaces
Authors: Jäger Gunther
Published: September 2002

In [3], we started the investigation of compactness in fuzzy function spaces in FCS, the category of fuzzy convergence spaces as defined by Lowen/Lowen/Wuyts [8]. This paper goes somewhat deeper in the investigation of fuzzy function spaces using the notion of splitting and conjoining structures on fuzzy subsets. We discuss the connection to the exponential law and give several
examples of such structures. As a special case, we study a notion of fuzzy compact open topology.
On cyclicity in weighted Dirichlet spaces
Authors: Jafari F. , Raposa R.
Published: September 2002

We extend some results of Brown and Shields on cyclicity to weighted Dirichlet spaces 0 < α < 1. We prove a comparison theorem for cyclicity in these spaces and provide a result on the geometry of the family of cyclic vectors in general
functional Hilbert spaces.
A boundary value problem for the wave equation
Authors: Iraniparast Nezam
Published: September 2002

Traditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate the question of boundary value problems for hyperbolic partial differential equations. In this regard, prescribing data along characteristics as formulated by Kalmenov [5] is of special interest. The most recent works in this area have resulted in a number of interesting discoveries [3, 4, 5, 7, 8]. Our aim here is to extend some of these results to a more general domain which includes the characteristics of the underlying wave equation as a part of its boundary.
B‐bounded semigroups and implicit evolution equations
Authors: Banasiak J.
Published: September 2002

The aim of this paper is to show an application of the recently
introduced B‐bounded semigroups in the theory of implicit and degenerate evolution equations. The most interesting feature of this approach is its applicability to problems with noncloseable operators.