The uniqueness of an entire function sharing a small entire function with its derivatives

In this paper, we prove a theorem on the growth of a solution of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its derivatives sharing a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible.     

Ramsey数的性质研究

本文得出了若干有关Ramsey数性质的结论,这些结论可直接用来推导Ram-sey数的下界公式,也可用来改进已有的Ramsey数的下界结果,本文中定理的证明思路,还能用于研究其它的图论和组合数学问题。     

On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial

We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible.     

Convergence criteria of modified Noor iterations with errors for asymptotically nonexpansive mappings

In this paper, weak and strong convergence theorems of the modified Noor iterations with errors are established for asymptotically nonexpansive mappings in Banach spaces. The results obtained in this paper extend and improve the several recent results in this area.     

An entire function and its derivatives sharing a polynomial

In this paper, we study the growth of solutions of a first-order linear differential equation and that of a second-order linear differential equation. From this we obtain some uniqueness theorems of a nonconstant entire function and its first derivative having the same fixed points with the same multiplicities. The results in this paper also improve some known results. Some examples show that the results in this paper are best possible.     

IMGS方法对于,H -矩阵的若干令人满意的改进

该文给出线性方程组改进的Gauss-Seidel迭代法（被称之为IMGS方法）对于H -矩阵的收敛性定理,并且对其参数a_i与SOR迭代法的参数ω的取值范围进行了比较. 所用方法及所得结论优于近年来相关结论,并且表明这种IMGS方法对,H -矩阵是有效的.     

Stability analysis for variational inequality in reflexive Banach spaces

This paper is devoted to the stability analysis in variational inequality. We obtain some stability results for variational inequality with both the mapping and the set that are perturbed in reflexive Banach spaces, provided that the mappings are pseudomonotone in the sense of Karamardian. The stability is also discussed for the Minty variational inequality as the mappings are properly quasimonotone. The results in this paper generalized some known results in this area.     

Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions

In this paper a nonlocal phase-field model for non-isothermal phase transitions with a non-conserved order parameter is studied. The paper extends recent investigations to the non-isothermal situation, complementing results obtained by H. Gajewski for the non-isothermal case for conserved order parameters in phase separation phenomena. The resulting field equations studied in this paper form a system of integro-partial differential equations which are highly nonlinearly coupled. For this system, results concerning global existence, uniqueness and large-time asymptotic behaviour are derived. The main results are proved using techniques that have been recently developed by P. Krej?í and the authors for phase-field systems involving hysteresis operators.     

无约束最优化的Polak-Ribière和Hestenes-Stiefel共轭梯度法的全局收敛性

本文在很弱的条件下得到了关于无约束最优化的Ｐｏｌａｋ—Ｒｉｂｉｅｒｅ和Ｈｅｓｔｅｎｅｓ－Ｓｔｉｅｆｅｌ共轭梯度法的全局收敛性的新结果,这里 ＰＲ方法和ＨＳ方法中的参数β_k~(PR)和β_k~HS可以在某个负的区域内取值,这一负的区域与ｋ有关．这些新的收敛性结果改进了文献中已有的结果．数值检验的结果表明了本文中新的 ＰＲ方法和 ＨＳ方法是相当有效的．     

NONEXISTENCE OF POSITIVE SOLUTION OF A CLASS OF NONLINEAR DIFFERENCE EQUATION

In this paper, a class of nonlinear difference equations are investigated. The sufficient conditions for the nonexistence of positive solutions are obtained. The results in this paper improve ones in [2].     

Entire functions sharing an entire function of smaller order with their difference operators

We study a uniqueness question of entire functions order with their difference operators, and deal with a question in this paper extend the corresponding results obtained by Liu Examples are provided to show that the results in this paper, in sharing an entire function of smaller posed by Liu and Yang. The results -Yang and by Liu-Laine respectively. a sense, are the best possible.     

Improved global exponential stability criteria of cellular neural networks with time-varying delays

In this paper, the existence and uniqueness of the equilibrium point and stability of the cellular neural networks (CNNs) with time-varying delays are analyzed and proved. Several global exponential stability conditions of the neural networks are obtained by the delay differential inequality and matrix measures approach. The obtained results are extensions of the earlier literature. The approach used in this paper is also suitable for delayed Hopfield neural networks and delayed bi-directional associative memory neural networks whose activation functions are often nondifferentiable or unbounded. Two simulation examples in comparison to previous results in literature are shown to check the theory in this paper.     

Existence of periodic solutions for cellular neural networks with complex deviating arguments

In this paper, cellular neural networks with complex deviating arguments are considered. Sufficient conditions for the existence of the periodic solutions are established by using the coincidence degree theorem. The results of this paper are new and complement previously known results.     

Banach空间中的相补问题

本文在Ｂａｎａｃｈ空间中研究了三类相补问题解的存在性。所得结果是［４，５，６，９，１１－１４］中相应结果的深入和发展。     

KKM技巧及其应用

本文介绍KKM技巧,并用以建立了新的抉择定理和重合定理,它们是[2,10,11,15,16]等近期文献中一些重要结果的推广.     

ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION

In this paper, the new subclass Bn( ,a,A,B) of analytic functions is introduced. Its subordination relations, inclusion relations, the inequality properties and convering theorem are discussed. The results obtained in this paper are sharp, which generalize the related works of some authors and some other new results are obtained.     

赋范线性空间中渐近伪压缩映象的不动点迭代逼近

研究了赋范线性空间中渐近非扩张映象和渐近伪压缩映象不动点的迭代逼近问题,所得结果改进和推广了已有的一些结果.     

FKKM-型定理的推广及应用

本文得到ＦＫＫＭ－型定理的几个新的推广定理,并将所得结果应用于研究重合点问题．文中的结果统一和包含了一些作者的最新成果．     

一类五次系统赤道环的稳定性与极限环分枝

本文解决了一类五次系统赤道环的稳定性与极限环分枝问题，所得的结论与二次系统的若干结论形 成有趣的对比．     

On certain integral relations and their applications

The aim of this paper is to establish certain integral relations involving the H-function of two variables and employ these to evaluate certain double integrals involving the products of two H-function of two variables of generalised arguments. The results established in this paper are of a very general nature and are capable of yielding a number of results as particular cases.