Collection of Arab Journal of Mathematical Sciences (2016).
Abstract
New results on the existence, uniqueness and maximal regularity of a solution are given for a two-space dimensional high-order parabolic equation set in conical time-dependent domains. The study is performed in the framework of anisotropic weighted Sobolev spaces. Our method is based on the technique of decomposition of domains.
Abstract New results on the existence, uniqueness and maximal regularity of a solution are given for a two-space dimensional high-order parabolic equation set in conical time-dependent [...]
Collection of Arab Journal of Mathematical Sciences (2016).
Abstract
In this paper we deal with the problem of uniqueness of meromorphic functions as well as their power which share a small function with their derivatives and obtain some results which improve and generalize the recent results due to Zhang and Yang (2009) and Sheng and Zongsheng (2012).
Abstract In this paper we deal with the problem of uniqueness of meromorphic functions as well as their power which share a small function with their derivatives and obtain some results [...]
Collection of Arab Journal of Mathematical Sciences (2016).
Abstract
In this paper, we prove that a map between Riemannian manifolds is an ff-harmonic morphism in a general sense if and only if it is horizontally weakly conformal, satisfying some conditions, and we investigate the properties of ff-harmonic morphism in a general sense.
Abstract In this paper, we prove that a map between Riemannian manifolds is an ff-harmonic morphism in a general sense if and only if it is horizontally weakly conformal, satisfying [...]
Collection of Arab Journal of Mathematical Sciences (2016).
Abstract
A set DD of vertices of a graph GG is called a dominating set of GG if every vertex in V(G)−DV(G)−D is adjacent to a vertex in DD. A dominating set SS such that the subgraph 〈S〉〈S〉 induced by SS has at least one isolated vertex is called an isolate dominating set. An isolate dominating set none of whose proper subset is an isolate dominating set is a minimal isolate dominating set. The minimum and maximum cardinality of a minimal isolate dominating set are called the isolate domination number γ0γ0 and the upper isolate domination number Γ0Γ0 respectively. In this paper we initiate a study on these parameters.
Abstract A set DD of vertices of a graph GG is called a dominating set of GG if every vertex in V(G)−DV(G)−D is adjacent to a vertex in DD. A dominating set SS such that the [...]
Collection of Arab Journal of Mathematical Sciences (2016).
Abstract
In this paper we study the transfer of the property of Hopfian modules between the right RR-module MRMR and some of its extension classes. Namely, under certain conditions, we show that: MRMR is a Hopfian right RR-module if and only if the skew generalized power series module [[MS,≤]][[MS,≤]] is a Hopfian right [[RS,≤,ω]][[RS,≤,ω]]-module.
Abstract In this paper we study the transfer of the property of Hopfian modules between the right RR-module MRMR and some of its extension classes. Namely, under certain conditions, [...]
Collection of Arab Journal of Mathematical Sciences (2016).
Abstract
In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection coefficient and source term. An error estimate is derived by using the supremum norm and it is of almost first order convergence. Numerical results are provided to illustrate the theoretical results.
Abstract In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second [...]
Collection of Arab Journal of Mathematical Sciences (2016).
Abstract
In this paper, definitions of Lα1 function space, ββ-well function space and quasi-Carathéodory function are given, existence results for solutions of a class of Sturm–Liouville boundary value problems of fractional differential equations with multiple order derivatives D0+α[Φ(ρ(t)D0+βx(t))] are established. The analysis relies on a well known fixed point theorem. Some examples are given to illustrate the efficiency of main theorems.
Abstract In this paper, definitions of Lα1 function space, ββ-well function space and quasi-Carathéodory function are given, existence results for solutions of a class of Sturm–Liouville [...]
Collection of Arab Journal of Mathematical Sciences (2016).
Abstract
We introduce and characterize slant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of slant Riemannian submersions defined on Sasakian manifolds. We give a sufficient condition for a slant Riemannian submersion from Sasakian manifolds onto Riemannian manifolds to be harmonic. We also give an example of such slant submersions. Moreover, we find a sharp inequality between the scalar curvature and norm squared mean curvature of fibres.
Abstract We introduce and characterize slant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of slant Riemannian submersions defined [...]
Resolution of a high-order parabolic equation in conical time-dependent domains of R3R3 
