Arab Journal of Mathematical Sciences

Items from 41 to 60 out of 164 results

article

Vector implicit quasi complementarity problems

Suhel Ahmad Khan, Byung Soo Lee

Arab Journal of Mathematical Sciences > 2013 > 19 > 1 > 49-60

In this work, we establish some existence theorems for solutions to a new class of vector implicit quasi complementarity problems and the corresponding vector implicit quasi variational inequality problems. Further we introduce the notion of a local non-positivity of a pair of mappings (F, Q) and consider the existence and properties of solutions for vector implicit quasi variational inequality problems...

article

Some fixed point results for a class of g-monotone increasing multi-valued mappings

Jiandong Yin, Ting Guo

Arab Journal of Mathematical Sciences > 2013 > 19 > 1 > 35-47

In this paper, we introduce the new notion of g-monotone mapping and prove some fixed point theorems for multi-valued and single-valued g-increasing mappings in partially ordered metric spaces. The mappings considered in this paper are assumed to satisfy certain metric inequalities which are established by an altering distance function. The presented results extend and improve the main results of...

article

Inside Front Cover: Editorial Board

Arab Journal of Mathematical Sciences > 2013 > 19 > 1 > IFC

article

Möbius transformations with n-cycles geometric viewpoint

Tariq A. Al-Fadhel, Mongi Blel

Arab Journal of Mathematical Sciences > 2013 > 19 > 1 > 21-34

Let M be the group of Möbius transformations on C∞=C∪{∞} and 〈f〉M={fn;n∈Z} the cyclic subgroup of M generated by f, for f∈M. If 〈f〉M is finite of order n, f is called an n-cycle. We prove in the first part that if f is an n-cycle, then for any α∈C∞, the set {fn(α);n∈Z}=Of(α) lies on a circle. Furthermore we characterize with geometric arguments the circles which are invariant under this kind of transformations.

article

Solving partial fractional differential equations using the FA-transform

Arman Aghili, Alireza Ansari

Arab Journal of Mathematical Sciences > 2013 > 19 > 1 > 61-71

In this article, we introduce the generalized Fourier transform (FA-transform) and derive an inversion formula and convolution product for this transform. Furthermore, the fundamental solutions of the single-order and distributed-order Cauchy type fractional diffusion equations are given by means of the appropriate FA-transform in terms of the Wright functions. Also, applicability of this transform...

article

Tight wave packet frames for L2(R) and H2(R)

Abdullah

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 151-158

In this paper we establish a characterization of tight wave packet frames for L2(R) and we also prove that it is possible to construct frames in H2(R) which are given by dilation, translation and modulation of a single function ψ, where ψ, as well as ψˆ, belongs to the Schwartz class.

article

Cowling–Price type theorem related to Bessel–Struve transform

Soumeya Hamem, Lotfi Kamoun, Selma Negzaoui

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 187-198

The purpose of this paper is to establish an analogue of Cowling–Price theorem for the Bessel–Struve transform. Also, we provide Hardy’s type theorem associated with this transform.

article

Some new generalized 2D Ostrowski-Grüss type inequalities on time scales

Bin Zheng

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 159-172

In this paper, we present some new generalized 2D Ostrowski-Grüss type integral inequalities on time scales, which on one hand extend some known results in the literature, and on the other hand unify corresponding continuous and discrete analysis. New bounds for the 2D Ostrowski-Grüss type inequalities are derived, some of which are sharp.

article

A stochastic maximum principle in mean-field optimal control problems for jump diffusions

Farid Chighoub, Brahim Mezerdi

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 223-241

This paper is concerned with the study of a stochastic control problem, where the controlled system is described by a stochastic differential equation (SDE) driven by a Poisson random measure and an independent Brownian motion. The cost functional involves the mean of certain nonlinear functions of the state variable. The inclusion of this mean terms in the running and the final cost functions introduces...

article

On the essential spectrum of magnetic Schrödinger operators in exterior domains

Ayman Kachmar, Mikael Persson

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 217-222

We establish equality between the essential spectrum of the Schrödinger operator with magnetic field in the exterior of a compact arbitrary dimensional domain and that of the operator defined in all the space, and discuss applications of this equality.

article

A note on commutativity of rings with additive mappings

Shakir Ali, Ajda Fošner, Mohammad Salahuddin Khan

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 199-204

We investigate commutativity of the ring R involving some additive mapping with necessary torsion restrictions on commutators. We give counter examples which show that the hypotheses of our theorems are not superfluous.

article

The Lüroth semigroups of a curve over a non-algebraically closed field

E. Ballico

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 145-149

Let C⊂P2 be a smooth curve defined over a non-algebraically closed field K. We study the Lüroth semigroups of C over K, i.e. the set L′(C,K) of all degrees of finite morphisms C→P1 defined over K and the set L(C,K) of all degrees >0 of some spanned line bundle on C defined over K. If K is infinite, then L′(C,K)=L(C,K), but for every prime power q≠2 there is a smooth plane curve C defined over Fq...

article

Numerical and theoretical treatment for solving linear and nonlinear delay differential equations using variational iteration method

M.M. Khader

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 243-256

This article is devoted to use the variational iteration method (VIM) established by J.H. He for solving linear and nonlinear delay differential equations (DDEs). This method is based on the use of Lagrange multiplier for identification of optimal value of a parameter in a functional. This procedure is a powerful tool for solving large amount of problems. Using VIM, it is possible to find the exact...

article

On ideal hypersurfaces of Euclidean 4-space

Bang-Yen Chen

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 129-144

The notion of ideal immersions was introduced by the author in the 1990s. Roughly speaking, an ideal immersion of a Riemannian manifold into a real space form is a nice isometric immersion which produces the least possible amount of tension from the ambient space at each point. In this paper, we classify all ideal hypersurfaces with two distinct principal curvatures in the Euclidean 4-space E4. Moreover,...

article

On asymptotic properties of Laguerre–Sobolev type orthogonal polynomials

Luis Alejandro Molano Molano

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 173-186

In this paper, we consider the asymptotic behavior of the sequence of monic polynomials orthogonal with respect to the Sobolev inner product〈p,q〉S=∫0∞p(x)q(x)dμ+Mp(m)(ζ)q(m)(ζ),where ζ<0, M⩾0 and dμ=e ^−x x ^α dx. We study the outer relative asymptotics of these polynomials with respect to the classical Laguerre polynomials, and we deduce a Mehler–Heine type formula and a Plancherel–Rotach...

article

Semipotency and the total of rings and modules

Hamza Hakmi

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 109-128

Let M and N be two modules over a ring R. The object of this paper is the study of substructures of Hom _R (M,N) such as, radical, the singular, and co-singular ideal and the total. New results obtained include necessary and sufficient conditions for the total to equal the radical, Hom _R (M,J(N)), a description of (Δ-, ∇-, I-) semipotency rings and the endomorphism ring of locally projective...

article

Inside Front Cover: Editorial Board

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > IFC

article

Multiplicity of solutions for a general p(x)-Laplacian Dirichlet problem

A.R. El Amrouss, F. Kissi

Arab Journal of Mathematical Sciences > 2013 > 19 > 2 > 205-216

We establish some results on the existence of multiple nontrivial solutions for a class of p(x)-Laplacian elliptic equations. Our approach relies on the variable exponent theory of generalized Lebesgue–Sobolev spaces, combined with adequate variational methods and a variant of the Mountain Pass lemma.

article

Nonlinear anisotropic parabolic equations in Lm

Fares Mokhtari

Arab Journal of Mathematical Sciences > 2014 > 20 > 1 > 1-10

In this paper, we give a result of regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with lower-order term when the right-hand side is an L ^m function, with m being ”small”. This work generalizes some results given in [2] and [3].

article

Some results on Whitney numbers of Dowling lattices

Mourad Rahmani

Arab Journal of Mathematical Sciences > 2014 > 20 > 1 > 11-27

In this paper, we study some properties of Whitney numbers of Dowling lattices and related polynomials. We answer the following question: there is a relation between Stirling and Eulerian polynomials. Can we find a new relation between Dowling polynomials and other polynomials generalizing Eulerian polynomials? In addition, some congruences for the Dowling numbers are given.

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FIXED POINT (4)
53C40 (3)
26D15 (2)
35J60 (2)
44A15 (2)
44A35 (2)
53C42 (2)
53C50 (2)
ASYMPTOTIC BEHAVIOR (2)
BELL POLYNOMIALS (2)
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COMMUTATIVE RING (2)
CONFORMALLY FLAT (2)
CONGRUENCES (2)
CONVERGENCE ANALYSIS (2)
CONVEX FUNCTIONS (2)
COUPLED COINCIDENCE POINT (2)
CRITICAL POINT (2)
DELAY (2)
EXISTENCE (2)
FIXED POINT THEOREMS (2)
GLOBAL ASYMPTOTIC STABILITY (2)
HARDY SPACE (2)
HÖLDER INEQUALITY (2)
INDEFINITE WEIGHT (2)
MODULE (2)
MULTIPARTITIONAL POLYNOMIALS (2)
NEVANLINNA THEORY (2)
NONLINEAR PARABOLIC EQUATIONS (2)
ORTHOGONAL POLYNOMIALS (2)
OSTROWSKI TYPE INEQUALITY (2)
POSITION VECTOR FIELD (2)
RICCI CURVATURE (2)
RICCI SOLITON (2)
TIME SCALES (2)
F -BIHARMONIC MAP (1)
H -ENERGY (1)
P -BIHARMONIC MAP (1)
P -HARMONIC MAP (1)
(2+1)-DIMENSIONAL SOLITON BREAKING EQUATION (1)
(3+1)-DIMENSIONAL JIMBO–MIWA EQUATION (1)
(3+1)-DIMENSIONAL KADOMSTEV–PETVIASHVILI EQUATION (1)
(A,B,K)-CRITICAL GRAPH (1)
(CO) SINGULAR IDEAL (1)
(Δ-,∇-,I-) SEMI-POTENT RINGS (1)
5A15 (1)
5B35 (1)
11A63 (1)
11B73 (1)
11F20 (1)
15A04 (1)
16W20 (1)
20D05 (1)
20D06 (1)
20D20 (1)
26A33 (1)
26D20 (1)
26D99 (1)
30B10 (1)
30G35 (1)
33C10 (1)
33C80 (1)
33D10 (1)
33E05 (1)
33E20 (1)
34B07 (1)
34D05 (1)
34L20 (1)
35A15 (1)
35B37 (1)
35J25 (1)
35J40 (1)
35L55 (1)
35L65 (1)
37B30 (1)
3G-THEOREM (1)
3×3 MATRIX LINEAR RELATION (1)
42A38 (1)
45E10 (1)
47B50 (1)
47D20 (1)
47H10 (1)
49L25 (1)
5-CORE PARTITION (1)
53B50 (1)
53C15 (1)
53C55 (1)
54C70 (1)
60H10 (1)
60H30 (1)
70H20 (1)
74D05 (1)
74H20 (1)
74H25 (1)
83C15 (1)
83C57 (1)
93D15 (1)
93D20 (1)
93E20 (1)
ADDITIVE MAPPING (1)
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INFONA - science communication portal

Arab Journal of Mathematical Sciences

Vector implicit quasi complementarity problems

Some fixed point results for a class of g-monotone increasing multi-valued mappings

Inside Front Cover: Editorial Board

Möbius transformations with n-cycles geometric viewpoint

Solving partial fractional differential equations using the FA-transform

Tight wave packet frames for L2(R) and H2(R)

Cowling–Price type theorem related to Bessel–Struve transform

Some new generalized 2D Ostrowski-Grüss type inequalities on time scales

A stochastic maximum principle in mean-field optimal control problems for jump diffusions

On the essential spectrum of magnetic Schrödinger operators in exterior domains

A note on commutativity of rings with additive mappings

The Lüroth semigroups of a curve over a non-algebraically closed field

Numerical and theoretical treatment for solving linear and nonlinear delay differential equations using variational iteration method

On ideal hypersurfaces of Euclidean 4-space

On asymptotic properties of Laguerre–Sobolev type orthogonal polynomials

Semipotency and the total of rings and modules

Inside Front Cover: Editorial Board

Multiplicity of solutions for a general p(x)-Laplacian Dirichlet problem

Nonlinear anisotropic parabolic equations in Lm

Some results on Whitney numbers of Dowling lattices

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