bluuebunny/crossref_metadata_2025 huggingface dataset:
EBR-1, a Novel Ambler Subclass B1 β-Lactamase from
Empedobacter brevis
Authors: Bellais Samuel , Girlich Delphine , Karim Amal , Nordmann Patrice
Published: September 2002

Empedobacter brevis
(formerly designated
Flavobacterium breve
) is a gram-negative aerobe involved in nosocomial infections. The Ambler class B β-lactamase gene
bla
EBR-1
was cloned and expressed in
Escherichia coli
from
E. brevis
clinical strain ASS-1, which had reduced susceptibility to expanded-spectrum cephalosporins and carbapenems. Purified β-lactamase EBR-1 hydrolyzed penicillins, cephalosporins, and carbapenems efficiently but not aztreonam. Kinetic parameters of EBR-1 were similar to those of class B enzymes such as BlaB, IND-2, and GOB-1 identified from other
Flavobacteriaceae
species, except for meropenem, which was more hydrolyzed by β-lactamase GOB-1. EBR-1, with a pI of 8.0 and a relative molecular mass of ca. 25 kDa, was classified in functional subgroup 3a, which includes most of the class B β-lactamases. EBR-1, which belongs to molecular subclass B1 of metalloenzymes, shares 58, 57, and 42% amino acid identity with the most closely related β-lactamases, IND-1/IND-2 from
Chryseobacterium indologenes
, CGB-1 from
Chryseobacterium gleum
, and BlaB from
Chryseobacterium meningosepticum
, respectively.
Imiquimod 5-Percent Cream Does Not Alter the Natural History of Recurrent Herpes Genitalis: a Phase II, Randomized, Double-Blind, Placebo-Controlled Study
Authors: Schacker Timothy W. , Conant Marcus , Thoming Christopher , Stanczak Tamara , Wang Zengri , Smith Michael
Published: September 2002

Present strategies for control of herpes genitalis recurrences require multiple daily doses of antiviral medication. Imiquimod, an immune response modifier, induces alpha interferon and interleukin-12; application in the presence of local herpes antigens during a recurrence may augment herpes simplex virus (HSV)-specific cell-mediated immunity. To test this theory, we performed a randomized, double-blind, placebo-controlled study of imiquimod 5% cream to assess safety and efficacy for decreasing recurrences. Patients with six or more recurrences of herpes genitalis per year applied study cream (imiquimod or placebo) to lesions one, two, or three times per week for 3 weeks for each recurrence during a 16-week treatment period. This was followed by a 16-week observation period. Of 124 patients randomized to the study, 103 completed the treatment period and 93 completed the observation period. The median times to first genital herpes recurrence were 53 days for those receiving placebo (
n
= 30) and 54, 60, and 64 days for those receiving imiquimod one time per week (
n
= 34), two times per week (
n
= 32), and three times per week (
n
= 28), respectively. The median annualized recurrence rates during the treatment period were 3.8, 4.9, 3.2, and 3.1, respectively. There were no statistically significant differences in the time to first recurrence or in the annualized recurrence rate between the imiquimod and placebo groups in either the treatment or the observation period. A trend in increased rates of local adverse events at the application site and a delay in lesion healing with more frequent dosing suggested a pharmacologic effect. Although clinical efficacy has been observed for imiquimod in other conditions in which a TH1-type immune response may be beneficial, including other viral infections such as those caused by human papillomavirus, no apparent effect on the short-term natural history of herpes genitalis recurrences was observed.
−11 Mutation in theampCPromoter Increasing Resistance to β-Lactams in a ClinicalEscherichia coliStrain
Authors: Corvec S. , Caroff N. , Espaze E. , Marraillac J. , Reynaud A.
Published: September 2002

A mutation was discovered in the Pribnow box of theampCpromoter in a clinicalEscherichia colistrain. This −11 C-to-T transition created a perfect homology with the −10 consensus sequence. The new promoter was cloned upstream of thecatgene of pKK232-8 and induced a sixfold increase in promoter strength.
Carbapenem-Resistant
Pseudomonas aeruginosa
in Malaysia Producing IMP-7 β-Lactamase
Authors: Ho Siaw Eng , Subramaniam Geetha , Palasubramaniam Selvi , Navaratnam Parasakthi
Published: September 2002

We have isolated and identified a carbapenem-resistant
Pseudomonas aeruginosa
strain from Malaysia that produces an IMP-7 metallo-β-lactamase. This isolate showed high-level resistance to meropenem and imipenem, the MICs of which were 256 and 128 μg/ml, respectively. Isoelectric focusing analyses revealed pI values of >9.0, 8.2, and 7.8, which indicated the possible presence of IMP and OXA. DNA sequencing confirmed the identity of the IMP-7 determinant.
Gene Dosage and Linezolid Resistance in
Enterococcus faecium
and
Enterococcus faecalis
Authors: Marshall S. H. , Donskey C. J. , Hutton-Thomas R. , Salata R. A. , Rice L. B.
Published: September 2002

Resistance to linezolid has been associated with a G2576U mutation in domain V of the 23S rRNA. We analyzed nine clinical isolates of linezolid-resistant enterococci and showed a clear association between the number of 23S rRNA genes containing this mutation and the level of linezolid resistance expressed.
CHAOS AND FRACTALS IN CHEMICAL ENGINEERING - 1ST ITALIAN CONFERENCE
Authors: GIONA ALESSANDRO R. , BIARDI GIUSEPPE , GIONA MASSIMILIANO
Published: September 2002

In this abstract, an overview of the contributions presented at the 1 st Italian Conference on Chaos and Fractals in Chemical Engineering (Rome, 25-27 May 1994) is proposed in order to discuss the research directions and the results presented at this conference.1
A generalization of a theorem of Faith and Menal and applications
Authors: Tsuda Kentaro
Published: September 2002

In 1995, Faith and Menal have established the V
‐ring theorem which gives a characterization of a V‐ring. In this paper, we
generalize this theorem to V‐modules and consider some
applications for Noetherian self‐cogenerators.
Random trilinear forms and the Schur multiplication of tensors
Authors: Almasri Ibrahim , Li Jinlu , Tonge Andrew
Published: September 2002

We obtain estimates for the distribution of the norm of the random
trilinear form , defined by A(ei, ej, ek) = aijk, where the aijk′s are uniformly bounded, independent, mean zero
random variables. As an application, we make progress on the
problem when is a Banach algebra under the Schur multiplication.
On complete convergence for Lp‐mixingales
Authors: Hu Yijun
Published: September 2002

We provide in this paper sufficient conditions for the complete
convergence for the partial sums and the random selected partial
sums of B‐valued Lp‐mixingales.
On the existence of a solution for some distributed optimal control hyperbolic system
Authors: Idczak Dariusz , Walczak Stanisław
Published: September 2002

We consider a Bolza problem governed by a linear time‐varying
Darboux‐Goursat system and a nonlinear cost functional,
without the assumption of the convexity of an integrand with
respect to the state variable. We prove a theorem on the existence
of an optimal process in the classes of absolutely continuous
trajectories of two variables and measurable controls with values
in a fixed compact and convex set.
Multipliers on some weighted Lp‐spaces
Authors: Öztop S.
Published: September 2002

Let G be a locally compact abelian group with Haar measure
dx, and let ω be a symmetric Beurling weight function on G (Reiter, 1968). In this paper, using the relations between
pi and qi, where 1 < pi,    qi < ∞, pi ≠ qi(i = 1, 2), we show that the space of multipliers from
to the space , the space of multipliers from to and the space of
multipliers to
.
Stability of the positive steady‐state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay
Authors: Shi B.
Published: September 2002

An open problem given by Kocic and Ladas in 1993 is generalized and considered. A sufficient condition is obtained for each solution to
tend to the positive steady‐state solution of the systems of
nonlinear Volterra difference equations of population models with
diffusion and infinite delays by using the method of lower and
upper solutions and monotone iterative techniques.
Subordination by convex functions
Authors: Singh Ram , Singh Sukhjit
Published: September 2002

Let K(α), 0 ≤ α < 1, denote the class of functions which are regular and univalently convex of order α in the unit disc U. Pursuing the problem initiated by Robinson in the present paper, among other things, we prove that if f is regular in U, f(0) = 0, and
f(z) + zf′(z) < g(z) + zg′(z) in U, then (i) f(z) < g(z) at least in if f ∈ K; and (ii) f(z) < g(z) at least in if
g ∈ K(1/2).
A remark on Gwinner′s existence theorem on variational inequality problem
Authors: Vetrivel V. , Nanda S.
Published: September 2002

Gwinner (1981) proved an existence theorem for a variational
inequality problem involving an upper semicontinuous multifunction
with compact convex values. The aim of this paper is to solve this
problem for a multifunction with open inverse values.
A note on (gDF)‐spaces
Authors: del-Vecchio Renata R. , Pombo Dinamérico P. , Vinagre Cybele T. M.
Published: September 2002

Certain locally convex spaces of scalar‐valued mappings are shown to be finite‐dimensional.
Related fixed points for set valued mappings on two metric spaces
Authors: Fisher Brian , Türkoglu Duran
Published: September 2002

Some related fixed points theorems for set valued mappings on two complete and compact metric spaces are proved.
Approximating fixed points	of λ‐firmlynonexpansive mappings in Banach spaces
Authors: Kim Gang-Eun
Published: September 2002

We study the convergence of the Ishikawa iteration methods to fixed
points for the result of Smarzewski (1991). Our theorems also
improve recent theorems due to Sharma and Sahu (1996).
Bounded sets in the range of an X∗∗‐valued measure with bounded variation
Authors: Marchena B. , Piñeiro C.
Published: September 2002

Let X be a Banach space and A ⊂ X an absolutely
convex, closed, and bounded set. We give some sufficient and necessary
conditions in order that A lies in the range of a measure valued in the bidual space X∗∗ and having bounded
variation. Among other results, we prove that X∗ is a G. T.‐space if and only if A lies inside the range of some
X∗∗‐valued measure with bounded variation whenever XA is isomorphic to a Hilbert space.
Recapturing semigroup compactifications of a group from those of its closed normal subgroups
Authors: Miri M. R. , Pourabdollah M. A.
Published: September 2002

We know that if S is a subsemigroup of a semitopological
semigroup T, and 𝔉 stands for one of the spaces 𝒜𝒫, 𝒲𝒜𝒫, 𝒮𝒜𝒫, 𝒟 or ℒ𝒞, and (ϵ, T𝔉) denotes the canonical 𝔉‐compactification of T, where T has the property that , then is an 𝔉‐compactification of S. In this paper, we try to
show the converse of this problem when T is a locally compact
group and S is a closed normal subgroup of T. In this way we construct various semigroup compactifications of T from the same type compactifications of S.
Stability of a characterization of normal distributions based on the first two conditional moments
Authors: Nguyen Truc T. , Dinh Khoan T.
Published: September 2002

A characterization of normal distributions of two
independent random variables X and Y with a finite E[X2] based on the
linearity of E[X | X + Y] and the homoscedasticity
of var[X | X + Y] given by Rao (1976) is proved to be stable.
On existence of periodic solutions of the Rayleigh equation of retarded type
Authors: Wang Genqiang , Yan Jurang
Published: September 2002

In this paper, we give two sufficient conditions on the existence
of periodic solutions of the non‐autonomous Rayleigh equation of
retarded type by using the coincidence degree theory.
On the representation of m as ∑k=−nnϵkk
Authors: Clark Lane
Published: September 2002

Let A(n, m) be the number of solutions of where each ϵk ∈ {0, 1}. We determine the asymptotic behavior of A(n, m) for m = o(n3/2), extending results of van Lint and of Entringer.
A global method for some class of optimization and control problems
Authors: Enkhbat R.
Published: September 2002

The problem of maximizing a nonsmooth convex function over an
arbitrary set is considered. Based on the optimality condition
obtained by Strekalovsky in 1987 an algorithm for solving the
problem is proposed. We show that the algorithm can be applied to
the nonconvex optimal control problem as well. We illustrate the
method by describing some computational experiments performed on a
few nonconvex optimal control problems.
Almost automorphic solutions of some differential equations in Banach spaces
Authors: N′Guerekata Gaston Mandata
Published: September 2002

We discuss the conditions under which bounded solutions of the evolution equation x′(t) = Ax(t) + f(t) in a Banach space are almost automorphic whenever f(t) is almost automorphic and A generates a C0‐group of strongly continuous operators. We also give a result for asymptotically almost automorphic solutions for the more general case of x′(t) = Ax(t) + f(t, x(t)).
Duality in the optimal control of hyperbolic equations with positive controls
Authors: Park Jong Yeoul , Lee Mi Jin
Published: September 2002

We study the duality theory for hyperbolic
equations. Also, we consider distributed control systems with
positive control and convex cost functionals.
Elements in exchange rings with related comparability
Authors: Chen Huanyin
Published: September 2002

We show that if R is an exchange ring, then the following are
equivalent: (1) R satisfies related comparability. (2) Given
a, b, d ∈ R with aR + bR = dR, there exists a related unit w ∈ R such that a + bt = dw. (3) Given a, b ∈ R with aR = bR, there exists a related unit w ∈ R such that a = bw. Moreover, we investigate the dual problems for rings which are quasi‐injective as right modules.
A note on M‐ideals in certain algebras of operators
Authors: Cho Chong-Man , Roh Woo Suk
Published: September 2002

Let . In this paper, we
investigate M‐ideals which are also ideals in L(X), the algebra
of all bounded linear operators on X. We show that K(X), the
ideal of compact operators on X is the only proper closed ideal
in L(X) which is both an ideal and an M‐ideal in
L(X).
On some topological properties of generalized difference sequence spaces
Authors: Et Mikail
Published: September 2002

We obtain some topological results of the sequence
spaces Δm(X), where Δm(X) = {x = (xk) : (Δmxk) ∈ X},    (m ∈ ℕ), and X is any sequence space. We
compute the pα‐, pβ‐, and pγ‐duals of
l∞, c, and c0 and we investigate the N‐(or null) dual
of the sequence spaces Δm(l∞),    Δm(c), and
Δm(c0). Also we show that any matrix map from
Δm(l∞) into a BK‐space which does not contain
any subspace isomorphic to Δm(l∞) is compact.
Semilocal connectedness	of product spaces and s‐continuity of maps
Authors: Ewert Janina
Published: September 2002

We consider the problem of the transfer of semilocal connectedness
from factors to the product space and vice versa. Some sufficient
conditions are given under which the product of semilocally
connected spaces is semilocally connected. Obtained theorems are
not invertible, suitable examples are given.
Decomposition conditions for two‐point boundary value problems
Authors: Feng Wenying
Published: September 2002

We study the solvability of the equation x″ = f(t, x, x′) subject to
Dirichlet, Neumann, periodic, and antiperiodic boundary conditions.
Under the assumption that f can be suitably decomposed, we prove
approximation solvability results for the above equation by
applying the abstract continuation type theorem of Petryshyn on
A‐proper mappings.
Matrix‐variate beta distribution
Authors: Gupta Arjun K. , Nagar Daya K.
Published: September 2002

We propose matrix‐variate beta type III distribution. Several
properties of this distribution including Laplace transform,
marginal distribution and its relationship with matrix‐variate beta
type I and type II distributions are also studied.
The second dual spaces of the sets of Λ‐strongly convergent and bounded sequences
Authors: Jarrah A. M. , Malkowsky E.
Published: September 2002

We give the second β‐, γ‐, and
f‐duals of the sets
, ,
, cp(Λ), and and the second continuous dual spaces of
, , and cp(Λ) for
0 < p ≤ 1. Furthermore, we determine the α‐duals of
, cp(Λ), and for
1 < p < ∞.
On the degree of approximation by Gauss Weierstrass integrals
Authors: Khan Huzoor H. , Ram Govind
Published: September 2002

We obtain the degree of approximation of functions belonging to
class Lip(ψ(u, v); p),    p > 1 using the Gauss Weierstrass integral of the double Fourier series of f(x, y).
Regular L‐fuzzy topological spaces and their topological modifications
Authors: Kubiak T. , Vicente M. A. de Prada
Published: September 2002

For L a continuous lattice with its Scott topology, the functor
ιL makes every regular L‐topological space into a regular
space and so does the functor ωL the other way around. This
has previously been known to hold in the restrictive class of the
so‐called weakly induced spaces. The concepts of
H‐Lindelöfness (á la Hutton compactness) is introduced
and characterized in terms of certain filters. Regular
H‐Lindelöf spaces are shown to be normal.
Superconvergence of finite element method for parabolic problem
Authors: Kwak Do Y. , Lee Sungyun , Li Qian
Published: September 2002

We study superconvergence of a semi‐discrete finite element scheme
for parabolic problem. Our new scheme is based on introducing
different approximation of initial condition. First, we give a
superconvergence of uh − Rhu, then use a postprocessing to
improve the accuracy to higher order.
Homogenization in elastodynamics with force term depending on time
Authors: Wang Ping
Published: September 2002

We extend the study on the homogenization problem for an elastic
material containing a distributed array of gas bubbles to the case
when the body force depends on time. By technically constructing an
approximating sequence, we are able to show the convergence of
semigroups and therefore prove the main result that such spongy
material can be approximated by an elastic material without holes
in the elastodynamics with the force term depending on time.
Symmetric duality for a class of multiobjective programming
Authors: Yang Xinmin , Wang Shouyang , Li Duan
Published: September 2002

We formulate a pair of symmetric dual nondifferentiable
multiobjective programming and establish appropriate duality
theorems. We also show that differentiable and nondifferentiable
analogues of several pairs of symmetric dual problems can be
obtained as special cases of our general symmetric programs.
The Fourier transforms of Lipschitz functions on the Heisenberg group
Authors: Younis M. S.
Published: September 2002

We study the order of magnitude of the Fourier transforms of
certain Lipschitz functions on the Heisenberg group Hn. We
compare our conclusions with some previous results in the field.
The lifting property for classes of mappings
Authors: Charatonik Janusz J.
Published: September 2002

The lifting property of continua for classes of mappings is
defined. It is shown that the property is preserved under the
inverse limit operation. The results, when applied to the class of
confluent mappings, exhibit conditions under which the induced
mapping between hyperspaces is confluent. This generalizes
previous results in this topic.
On the Mislin genus of certain circle bundles and noncancellation
Authors: Hilton Peter , Scevenels Dirk
Published: September 2002

In an earlier paper, the authors proved that a process described
much earlier for passing from a finitely generated nilpotent group
N of a certain kind to a nilpotent space X of finite type produced a bijection of Mislin genera 𝒢(N)≅𝒢(X). The present paper is concerned with related
results obtained by weakening the restrictions on N and
generalizing the homotopical nature of the spaces X to be
associated with a given N.
Biorthogonality condition for axisymmetric stokes flow in spherical geometries
Authors: Khuri S. A.
Published: September 2002

We derive the biorthogonality condition for axisymmetric
Stokes flow in a region between two concentric spheres.
This biorthogonality condition is a property satisfied by the
eigenfunctions and adjoint eigenfunctions, which is needed to
compute the coefficients of the eigenfunction expansion solution
of the corresponding creeping flow problem.
Tauberian operators in p‐adic analysis
Authors: Kiyosawa Takemitsu
Published: September 2002

In archimedean analysis Tauberian operators and operators having
property N were defined by Kalton and Wilansky (1976). We give
several characterizations of p‐adic Tauberian operators and
operators having property N in terms of basic sequences. And, as
its applications, we give some equivalent relations between these
operators and p‐adic semi‐Fredholm operators.
On conditions for the strong law of large numbers in general Banach spaces
Authors: Kuczmaszewska Anna , Szynal Dominik
Published: September 2002

We give Chung‐Teicher type conditions for the SLLN in general
Banach spaces under the assumption that the weak law of large
numbers holds. An example is provided showing that these conditions
can hold when some earlier known conditions fail.
The general Ikehata theorem for H‐separable crossed products
Authors: Szeto George , Xue Lianyong
Published: September 2002

Let B be a ring with 1,    C the center of B,    G an automorphism group of B of order n for some integer n,    CG the set of elements in C fixed under G,    Δ = Δ(B, G, f) a crossed product over B where f is a factor
set from G × G to U(CG). It is shown that Δ is an
H‐separable extension of B and VΔ(B) is a commutative
subring of Δ if and only if C is a Galois algebra over
CG with Galois group G|C≅G.
Periodic solutions of nonlinear differential equations
Authors: Yang Xiaojing
Published: September 2002

The periodic boundary value problems of a class of nonlinear differential equations are investigated.
Characterizations of outer measures associated with lattice measures
Authors: Hsu Pao-Sheng
Published: September 2002

Let ν be a finite countably subadditive outer measure defined
on all subsets of a set X, take a collection ℂ of
subsets of X containing X and ∅, we derive an outer
measure ρ using ν on sets in ℂ. By applying
this general framework on two special cases in which ν = μ″,
one where μ ∈ Mσ(𝔏) and the other where μ ∈ Mσ(𝔏1),𝔏1⫅𝔏2 being lattices on a set
X, we obtain new characterizations of the outer measure μ″.
These yield useful relationships between various set functions
including μi, μj, μ″, and μ′.
First eigenvalue of submanifolds in Euclidean space
Authors: Cai Kairen
Published: September 2002

We give some estimates of the first eigenvalue of the Laplacian
for compact and non‐compact submanifold immersed in the Euclidean space by
using the square length of the second fundamental form of the submanifold
merely. Then some spherical theorems and a nonimmersibility theorem of Chern
and Kuiper type can be obtained.
Local subhomeotopy groups of bounded surfaces
Authors: Sprows David J.
Published: September 2002

Let Mn denote the 2‐dimensional manifold with
boundary obtained by removing the interiors of n
disjoint closed disks from a closed 2‐manifold M and
let Mn,r denote the manifold obtained by removing
r distinct points from the interior of Mn.
The subhomeotopy group of Mn,r, denoted
Hn(Mn,r), is defined to be the group of all
isotopy classes (rel ∂Mn,r) of
homeomorphisms of Mn,r that are the identity on
the boundary. In this paper, we use the isotopy classes of
various homeomorphisms of to investigate
the subgroup of Hn(Mn,r) consisting of those
elements that are presented
by local homeomorphisms.
Certain remarks on a class of evolution quasi‐variational inequalities
Authors: Siddiqi A. H. , Manchanda Pammy
Published: September 2002

We prove two existence theorems, one for evolution quasi‐variational
inequalities and the other for a time‐dependent quasi‐variational
inequality modeling the quasi‐static problem of elastoplasticity
with combined kinetic‐isotropic hardening.
On certain sufficient conditions for starlikeness
Authors: Tuneski Nikola
Published: September 2002

We consider certain properties of as a
sufficient condition for starlikeness.
Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods
Authors: Li Jinlu
Published: September 2002

We prove the necessary and sufficient conditions for an infinity
matrix to be a mapping, from absolutely convergent series to
convergent sequences, which is treated as general weighted mean
summability methods. The results include a classical result by
Hardy and another by Moricz and Rhoades as particular cases.
Sequential completeness of inductive limits
Authors: Gómez Claudia , Kučera Jan
Published: September 2002

A regular inductive limit of sequentially
complete spaces is sequentially complete. For the converse of this theorem
we have a weaker result: if ind En is sequentially complete inductive limit,
and each constituent space En is closed in ind En, then ind
En is α‐regular.
On a Gauss‐Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure
Authors: Ganatsiou C.
Published: September 2002

A random system with complete connections
associated with a
piecewise fractional linear map with explicit invariant measure is
defined and its ergodic behaviour is investigated. This allows us
to obtain a variant of Gauss‐Kuzmin type problem for the above
linear map.
Biorthogonality condition for creeping motion in annular trenches
Authors: Khuri Suheil A.
Published: September 2002

The biorthogonality condition for Stokes flow in annular trenches
bounded by horizontal parallel planes and concentric vertical
cylinders is derived. This condition, is needed to compute the
coefficients of the eigenfunction expansion solution of the
corresponding Stokes flow problem.
Quadratic functional equations of Pexider type
Authors: Jung Soon-Mo
Published: September 2002

First, the quadratic functional equation of Pexider type
will be solved. By applying this result, we will also solve some
functional equations of Pexider type which are closely associated
with the quadratic equation.
Fuzzy associative ℐ‐ideals of IS‐algebras
Authors: Roh Eun Hwan , Jun Young Bae , Shim Wook Hwan
Published: September 2002

We fuzzify the concept of an associative ℐ‐ideal in
an IS‐algebra. We give a relation between a fuzzy
ℐ‐ideal and a fuzzy associative ℐ‐ideal,
and we investigate some related properties.
Some sufficient conditions for strongly starlikeness
Authors: Obradović Milutin , Owa Shigeyoshi
Published: September 2002

We consider strongly starlikeness of order α of functions
f(z) = z + an+1zn+1 + ⋯ which are analytic in the unit
disc and satisfy the condition of the form

.
About the existence of the thermodynamic limit for some deterministic sequences of the unit circle
Authors: Siboni Stefano
Published: September 2002

We show that in the set , endowed with the usual Lebesgue
measure, for almost all (h, λ) ∈ Ω the limit
exists and is equal to zero. The result is related to a characterization of relaxation to equilibrium in mixing
automorphisms of the two‐torus. It is nothing but a curiosity, but maybe you will find it nice.
Existence of periodic traveling wave solution to the forced generalized nearly concentricKorteweg‐de Vries equation
Authors: Jones Kenneth L. , He Xiaogui , Chen Yunkai
Published: September 2002

This paper is concerned with periodic traveling wave solutions of
the forced generalized nearly concentric Korteweg‐de Vries equation
in the form of . The authors first convert this equation into a forced generalized Kadomtsev‐Petviashvili equation, , and then to a nonlinear
ordinary differential equation with periodic boundary conditions.
An equivalent relationship between the ordinary differential
equation and nonlinear integral equations with symmetric kernels is
established by using the Green′s function method. The integral
representations generate compact operators in a Banach space of
real‐valued continuous functions. The Schauder′s fixed point
theorem is then used to prove the existence of nonconstant
solutions to the integral equations. Therefore, the existence of
periodic traveling wave solutions to the forced generalized KP
equation, and hence the nearly concentric KdV equation, is proved.
Fixed points and selections of set‐valued maps on spaces with convexity
Authors: Saveliev Peter
Published: September 2002

We provide theorems extending both Kakutani and Browder fixed
points theorems for multivalued maps on topological vector spaces,
as well as some selection theorems. For this purpose we introduce
convex structures more general than those of locally convex and
non‐locally convex topological vector spaces or generalized
convexity structures due to Michael, van de Vel, and Horvath.
Peristaltic transport in a cylindrical tube through a porous medium
Authors: El Shehawey Elsayed F. , El Sebaei Wahed
Published: September 2002

The problem of peristaltic transport in a cylindrical tube through
a porous medium has been investigated. A perturbation solution is
obtained, which satisfies the momentum equation for the case in
which the amplitude ratio is small. The results show that the fluid
phase mean axial velocity increases with increasing the
permeability parameter k. The phenomena of reflux is discussed.
Numerical results are reported for various values of the physical
parameter
On structure of certain periodic rings and near‐rings
Authors: Khan Moharram A.
Published: September 2002

The aim of this work is to study a decomposition theorem for rings
satisfying either of the properties xy = xpf(xyx)xq or xy = xpf(yxy)xq, where p = p(x, y), q = q(x, y) are nonnegative
integers and f(t) ∈ tℤ[t] vary with the pair of
elements x, y, and further investigate the commutativity of such
rings. Other related results are obtained for near‐rings.
On coincidence and common fixed points of nearly densifying mappings
Authors: Liu Zeqing , Ume Jeong Sheok
Published: September 2002

Coincidence and common fixed point theorems for certain new classes
of nearly densifying mappings are established. Our results extend,
improve, and unify a lot of previously known theorems.
Stability of generalized additive Cauchy equations
Authors: Jung Soon-Mo , Lee Ki-Suk
Published: September 2002

A familiar functional equation f(ax + b) = cf(x) will be solved in
the class of functions f : ℝ → ℝ. Applying this result
we will investigate the Hyers‐Ulam‐Rassias stability problem of the
generalized additive Cauchy equation

in connection with the question of Rassias and Tabor.
Some details of proofs of theorems related to the quantum dynamical	Yang‐Baxter equation
Authors: Koornwinder Tom H.
Published: September 2002

This paper of tutorial nature gives some further details of proofs
of some theorems related to the quantum dynamical
Yang‐Baxter equation. This mainly expands proofs given in
“Lectures on the dynamical Yang‐Baxter equation” by Etingof and
Schiffmann, math.QA/9908064.
This concerns the intertwining operator, the fusion
matrix, the exchange matrix and the difference operators. The last
part expands proofs given in “Traces of intertwiners for quantum groups and
difference equations, I” by Etingof and Varchenko, math.QA/9907181. This concerns the dual Macdonald‐Ruijsenaars equations.
Variational‐like inequalities for pseudomonotone operators
Authors: Ganguly Ashok
Published: September 2002

The aim of this note is to use a fixed point theorem to prove
results for variational‐like inequalities for pseudomonotone
operators.
On periodic rings
Authors: Du Xiankun , Yi Qi
Published: September 2002

It is proved that a ring is periodic if and only if, for any
elements x and y, there exist positive integers k, l, m, and n with either k ≠ m or l ≠ n, depending on x and y, for which xkyl = xmyn. Necessary and sufficient conditions are
established for a ring to be a direct sum of a nil ring and a J‐ring.
Group theory based at any point
Authors: Albar M. A. , Huq S. A.
Published: September 2002

If (G, ⋅) is a group with identity e, we call G, the group based at e. In this paper, we aim to release the present day group theory which is based at e, by replacing e by an arbitrary element of the group.
Common fixed points of set‐valued mappings
Authors: Singh M. R. , Singh L. S. , Murthy P. P.
Published: September 2002

The main purpose of this paper is to obtain a common fixed point
for a pair of set‐valued mappings of Greguš type condition.
Our theorem extend Diviccaro et al. (1987), Guay et al. (1982),
and Negoescu (1989).
A projected Hessian Gauss‐Newton algorithm for solving systems of nonlinear equations and inequalities
Authors: El-Alem Mahmoud M. , Abdel-Aziz Mohammedi R. , El-Bakry Amr S.
Published: September 2002

Solving systems of nonlinear equations and inequalities is of
critical importance in many engineering problems. In general, the
existence of inequalities in the problem adds to its difficulty.
We propose a new projected Hessian Gauss‐Newton algorithm for
solving general nonlinear systems of equalities and inequalities.
The algorithm uses the projected Gauss‐Newton Hessian in
conjunction with an active set strategy that identifies active
inequalities and a trust‐region globalization strategy that
ensures convergence from any starting point. We also present a
global convergence theory for the proposed algorithm.
On Henstock‐Dunford and Henstock‐Pettis integrals
Authors: Guoju Ye , Tianqing An
Published: September 2002

We give the Riemann‐type extensions of Dunford integral and Pettis
integral, Henstock‐Dunford integral and Henstock‐Pettis integral.
We discuss the relationships between the Henstock‐Dunford integral
and Dunford integral, Henstock‐Pettis integral and Pettis integral.
We prove the Harnack extension theorems and the convergence
theorems for Henstock‐Dunford and Henstock‐Pettis integrals.
Hydrodynamic flow between rotating eccentric cylinders with suction at the porous walls
Authors: Meena S. , Kandaswamy P. , Debnath Lokenath
Published: September 2002

The flow of a viscous, incompressible fluid
between two eccentric rotating porous cylinders with
suction/injection at both the cylinders, for very small clearance
ratio is studied. The expressions for various flow characteristics
are obtained using perturbation analysis. Streamlines and pressure
plots are shown graphically for various values of flow parameters
and discussed.
Sensitivity analysis for parametric vector optimization problems using differential equations approach
Authors: Ali Fatma M.
Published: September 2002

A new method for obtaining sensitivity information for parametric
vector optimization problems (VOP) v is presented,
where the parameters in the objective functions and anywhere in
the constraints. This method depends on using differential
equations technique for solving multiobjective nonlinear
programing problems which is very effective in finding many local
Pareto optimal solutions. The behavior of the local solutions for
slight perturbation of the parameters in the neighborhood of
their chosen initial values is presented by using the technique
of trajectory continuation. Finally some examples are given to
show the efficiency of the proposed method.
Some new inequalities for means of two arguments
Authors: Sándor József , Trif Tiberiu
Published: September 2002

We prove certain new inequalities for special means of two
arguments, including the identric, arithmetic, and geometric
means.
Generalization of some absolute summability methods
Authors: Sulaiman W. T.
Published: September 2002

Mazhar (1971) gave the characterization for the series ∑anϵn to be summable |N, pn| whenever ∑an is
summable |C,α|k, α ≥ 0, k ≥ 1. Here we prove two
theorems, the first concerns the sufficient conditions and the
second the necessary conditions satisfied by {ϵn} in order to have ∑anϵn summable whenever ∑an is summable |C,α|k, k ≥ 1.
Common fixed point theorems in 2 non‐Archimedean Menger PM‐space
Authors: Chugh Renu , Sumitra
Published: September 2002

We introduce the concept of a 2 non‐Archimedean Menger PM‐space and prove a common fixed point theorem for weak compatible mappings of type (A).
The residual and the error for collocation methods
Authors: Ahmed A. H.
Published: September 2002

We use earlier results on collocation matrices related to the
solution and its derivatives in describing asymptotic relation
between the error on the highest derivative and the residuals. That
justifies the use of the form of the residual rather than its norm
in measuring the error.
On nonautonomous second‐order differential equations on Banach space
Authors: Lan Nguyen Thanh
Published: September 2002

We show the existence and uniqueness of classical solutions of the nonautonomous second‐order equation: u″(t) = A(t)u′(t) + B(t)u(t) + f(t), 0 ≤ t ≤ T; u(0) = x0, u′(0) = x1 on a Banach space by means of operator matrix method and apply to Volterra integrodifferential equations.
A generalization theorem covering many absolute summability methods
Authors: Sulaiman W. T.
Published: September 2002

A general theorem concerning many absolute summability methods is proved.
Subdirect products of semirings
Authors: Mukhopadhyay P.
Published: September 2002

Bandelt and Petrich (1982) proved that an inversive semiring S is a subdirect product of a distributive lattice and a ring if and only if S satisfies certain conditions. The aim of this paper is to obtain a generalized version of this result. The main purpose of this paper however, is to investigate, what new necessary and sufficient conditions need we impose on an inversive semiring, so that, in its aforesaid representation as a subdirect product, the “ring” involved can be gradually enriched to a “field.” Finally, we provide a construction of full E‐inversive semirings, which are subdirect products of a semilattice
and a ring.
a‐minimal sets and related topics in transformation semigroups (I)
Authors: Sabbaghan Masoud , Zadeh Shirazi Fatemah Ayatollah
Published: September 2002

We deal with a‐minimal sets instead of minimal right ideals of
the enveloping semigroup and obtain a partition of disjoint
isomorphic subgroups of some of its subsets. We also give some
generalizations of almost periodicity and distality in the
transformation semigroups and obtain similar results.
a‐minimal sets and related topics in transformation semigroups (II)
Authors: Sabbaghan Masoud , Zadeh Shirazi Fatemah Ayatollah
Published: September 2002

We give some generalizations of proximal
relation and distal structure relation of a
transformation semigroup in terms of A‐ sets and A‐ sets instead of minimal right ideals and conclude similar results.
Local maxima of a random algebraic polynomial
Authors: Farahmand K. , Hannigan P.
Published: September 2002

We present a useful formula for the expected number of maxima of a
normal process ξ(t) that occur below a level u. In the
derivation we assume chiefly that ξ(t), ξ′(t), and have, with probability one, continuous 1 dimensional
distributions and expected values of zero. The formula referred to
above is then used to find the expected number of maxima below the
level u for the random algebraic polynomial. This result
highlights the very pronounced difference in the behaviour of the
random algebraic polynomial on the interval (−1, 1) compared with
the intervals (−∞, −1) and (1, ∞). It is also shown
that the number of maxima below the zero level is no longer O(logn) on the intervals (−∞, −1) and (1, ∞).
A note on θ‐generalized closed sets
Authors: Baker C. W.
Published: September 2002

The purpose of this note is to strengthen several
results in the literature concerning the preservation of
θ‐generalized closed sets. Also conditions are established
under which images and inverse images of arbitrary sets are
θ‐generalized closed. In this process several
new weak forms of continuous functions and closed functions
are developed.
Existence of solutions for non‐necessarily cooperative systems involving Schrödinger operators
Authors: Cardoulis Laure
Published: September 2002

We study the existence of a solution for a non‐necessarily
cooperative system of n equations involving Schrödinger operators defined on ℝN and we study also a limit case (the Fredholm Alternative (FA)). We derive results for semilinear systems.
Plane waves in thermoelasticity with one relaxation time
Authors: Wang Jun , Chang Wen Dong
Published: September 2002

We apply the thermoelastic equations with one relaxation time developed by Lord and Shulman (1967) to solve some elastic half‐space problems. Laplace transform is used to find the general solution. Problems concerning the ramp‐type increase in boundary temperature and stress are studied in detail. Explicit expressions for temperature and stress are obtained for small values of time, where second sound phenomena are of relevance. Numerical values of stress and temperature are calculated and displayed graphically.
Positive solutions for nonlinear elastic beam models
Authors: Lou Bendong
Published: September 2002

We give a negative answer to a conjecture of
Korman on nonlinear elastic beam models. Moreover, by
modifying the main conditions in the conjecture (generalizing the
original ones at some points), we get positive results, that is,
we obtain the existence of positive solutions for the models.
Stieltjes transforms on new generalized functions
Authors: Schmeelk John
Published: September 2002

We introduce a Stieltjes transform on the equivalence classes of
a new generalized function which has been successfully developed
by Colombeau. Subsets of rapid descent test functions, 𝒮(ℝn), as well as tempered distributions, 𝒮′(ℝn), are used to preserve Fourier analysis techniques.
An Ascoli theorem for sequential spaces
Authors: Sonck Gert
Published: September 2002

Ascoli theorems characterize “precompact” subsets of the set of morphisms between two objects of a category in terms of “equicontinuity” and “pointwise precompactness,” with appropriate definitions of precompactness and equicontinuity in the studied category. An Ascoli theorem is presented for sets of continuous functions from a sequential space to a uniform space. In our development we make extensive use of the natural function space structure for sequential spaces induced by continuous convergence and define appropriate concepts of equicontinuity for sequential spaces. We apply our theorem in the context of C*‐algebras.
Mixed problem with nonlocal boundary conditions for a third‐order partial differential equation of mixed type
Authors: Denche M. , Marhoune A. L.
Published: September 2002

We study a mixed problem with integral boundary conditions for a third‐order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two‐sided a priori estimates and on the density of the range of the operator generated by the considered problem.
Some inequalities in B(H)
Authors: Duyar C. , Seferoglu H.
Published: September 2002

Let H denote a separable Hilbert space and let B(H) be the
space of bounded and linear operators from H to H. We define
a subspace Δ(A, B) of B(H), and prove two inequalities
between the distance to Δ(A, B) of each operator T in B(H), and the value sup{‖AnTBn − T‖ : n = 1, 2, …}.
Optimal problem of cost function for the linear neutral systems
Authors: Park Jong Yeoul , Kang Yong Han
Published: September 2002

We study the optimal control problem of a system governed by linear
neutral type in Hilbert space X. We investigate optimal condition for quadratic cost function and as applications, we give some examples.
Strong unique continuation of eigenfunctions for p‐Laplacian operator
Authors: Hadi Islam Eddine , Tsouli N.
Published: September 2002

We show the strong unique continuation property of the
eigenfunctions for p‐Laplacian operator
in the case p < N.
Characterization of an H*‐algebras in terms of a trace
Authors: Saworotnow Parfeny
Published: September 2002

Arbitrary proper H*‐algebra is characterized in terms of the trace defined on a certain subset of the algebra.
Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean
Authors: Gorman Arthur D. , Yang Huijun
Published: September 2002

The wave packet method, one form of the WKB technique, recently has
been employed to investigate the evolution of long planetary wave
packets in relation to the complex climate variability in the world
oceans. However, such a method becomes invalid near the caustics.
Here, the Lagrange manifold formalism is used to extend this
analysis to include the caustic regions. We conclude that even
though the wave packet method fails near the caustics, the
equations derived from this method away from caustics are identical
to ones from the Lagrange manifold formalism near caustics
A note on nonfragmentability of Banach spaces
Authors: Mirmostafaee S. Alireza Kamel
Published: September 2002

We use Kenderov‐Moors characterization of fragmentability to
show that if a compact Hausdorff space X with the
tree‐completeness property contains a disjoint sequences of clopen
sets, then (C(X), weak) is not fragmented by any
metric which is stronger than weak topology. In particular,
C(X) does not admit any equivalent locally uniformly
convex renorming.
Vector‐valued sequence spaces generated by infinite matrices
Authors: Rath Nandita
Published: September 2002

Let A = (ank) be an infinite matrix with all ank ≥ 0 and P a bounded, positive real sequence. For normed spaces E and Ek the matrix A generates paranormed sequence spaces such as [A,P]∞((Ek)), [A,P]0((Ek)), and [A, P](E) which generalize almost all the existing sequence spaces, such as l∞, c0, c, lp, wp, and several others. In this paper, conditions under which these three paranormed spaces are separable, complete, and r‐convex, are established.
On functionals of a marked Poisson process observed by a renewal process
Authors: Dshalalow Jewgeni H. , Bacot Jean-Baptiste
Published: September 2002

We study the functionals of a Poisson marked process Π observed by a renewal process. A sequence of observations continues until Π crosses some fixed level at one of the observation epochs (the first passage time). In various stochastic models applications (such as queueing with N‐policy combined with multiple vacations), it is necessary to operate with the value of Π prior to the first passage time, or prior to the first passage time plus some random time. We obtain a time‐dependent solution to this problem in a closed form, in terms of its Laplace transform. Many results are directly applicable to the time‐dependent analysis of queues and other stochastic models via semi‐regenerative techniques.
Induced dusty flow due to normal oscillation of wavy wall
Authors: Kannan K. , Ramamurthy V.
Published: September 2002

A two‐dimensional viscous dusty flow induced by normal oscillation of a wavy wall for moderately large Reynolds number is studied on the basis of boundary layer theory in the case where the thickness of the boundary layer is larger than the amplitude of the wavy
wall. Solutions are obtained in terms of a series expansion with respect to small amplitude by a regular perturbation method. Graphs of velocity components, both for outer flow and inner flow for various values of mass concentration of dust particles are drawn. The inner and outer solutions are matched by the matching process. An interested application of present result to mechanical engineering may be the possibility of the fluid and dust transportation without an external pressure.
A new combinatorial identity
Authors: Sinyor Joseph , Speevak Ted , Tefera Akalu
Published: September 2002

We prove a combinatorial identity which arose from considering
the relation rp(x, y, z) = (x+y−z)p − (xp + yp − zp) in connection
with Fermat′s last theorem.
Whitehead groups of exchange rings with primitive factors artinian
Authors: Chen Huanyin , Li Fu-an
Published: September 2002

We show that if R is an exchange ring with primitive factors artinian then K1(R)≅U(R)/V(R), where U(R) is the group of units of R and V(R) is the subgroup generated by {(1 + ab)(1+ba)−1|a, b ∈ R   with   1 + ab ∈ U(R)}. As a corollary, K1(R) is the abelianized group of units of R if 1/2 ∈ R.
On the extrema of integrable functions
Authors: Dorosiewicz Slawomir
Published: September 2002

This paper contains the definition of the extremum of integrable functions (e.g., the mode of density function). It seems to be a generalization of well‐known standard definition and can be applied in estimation theory to extend the maximum likelihood method.