FENG, Shuxia LIU, Taishun
Published in
Acta Mathematica Scientia

In this article, we extend the definition of uniformly starlike functions and uniformly convex functions on the unit disk to the unit ball in n, give the discriminant criterions for them, and get some inequalities for them.

ÖZGER, Faruk BAŞAR, Feyzi
Published in
Acta Mathematica Scientia

The domain of generalized difference matrix B(r, s) in the classical spaces ℓ∞, c, and c0 was recently studied by Kirişçi and Başar in [16]. The main goal of this article is to introduce the paranormed sequence spaces ℓ∞(), c(), and c0(), which are more general and comprehensive than the corresponding consequences of the matrix domain of B(r, s), a...

ZHANG, Yinghui WU, Guochun
Published in
Acta Mathematica Scientia

We investigate the global existence and asymptotic behavior of classical solutions for the 3D compressible non-isentropic damped Euler equations on a periodic domain. The global existence and uniqueness of classical solutions are obtained when the initial data is near an equilibrium. Furthermore, the exponential convergence rates of the pressure an...

ZHAO, Jihong LIU, Qiao
Published in
Acta Mathematica Scientia

This article proves the logarithmically improved Serrin's criterion for solutions of the 3D generalized magneto-hydrodynamic equations in terms of the gradient of the velocity field, which can be regarded as improvement of results in [10] (Luo Y W. On the regularity of generalized MHD equations. J Math Anal Appl, 2010, 365: 806–808) and [18] (Zhang...

ZHANG, Shaohua ZHANG, Xiaomei SUN, Daochun
Published in
Acta Mathematica Scientia

In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk are proved. By these theorems, some interesting conclusions are obtained.

KRICHEN, Bilel
Published in
Acta Mathematica Scientia

In this article, we introduce the concept of demicompactness with respect to a closed densely defined linear operator, as a generalization of the class of demicompact operator introduced by Petryshyn in [24] and we establish some new results in Fredholm theory. Moreover, we apply the obtained results to discuss the incidence of some perturbation re...

DZIOK, Jacek
Published in
Acta Mathematica Scientia

In this article, we generalize the class of meromorphic functions with bounded boundary rotation and related classes. Characterizations and some properties of these classes of functions are given.

BEN AMAR, Afif
Published in
Acta Mathematica Scientia

The main purpose of this article is to prove a collection of new fixed point theorems for (ws)-compact and so-called 1-set weakly contractive operators under Leray-Schauder boundary condition. We also introduce the concept of semi-closed operator at the origin and obtain a series of new fixed point theorems for such class of operators. As consequen...

S. Khalid NAUMAN Nadeem ur REHMAN Dr. Radwan Mohammed Al-Omary
Published in
Acta Mathematica Scientia

A classical problem in ring theory is to study conditions under which a ring is forced to become commutative. Stimulated from Jacobson's famous result, several techniques are developed to achieve this goal. In the present note, we use a pair of rings, which are the ingredients of a Morita context, and obtain that if one of the ring is prime with th...