Solutions of Superlinear Hammerstein Integral Equation in Banach Spaces and Applications

ＳｏｌｕｔｉｏｎｓｏｆＳｕｐｅｒｌｉｎｅａｒＨａｍｍｅｒｓｔｅｉｎＩｎｔｅｇｒａｌＥｑｕａｔｉｏｎｉｎＢａｎａｃｈＳｐａｃｅｓａｎｄＡｐｐｌｉｃａｔｉｏｎｓＬｏｕＢｅｎｄｏｎｇ（娄本东）（Ｄｅｐｔ．ｏｆＭａｔｈ．ＳｈａｎｄｏｎｇＵｎｉｖｅｒｓｉｔｙ，...     

Periodic Boundary Value Problems for Second Order Impulsive Integro－differential Equations of Mixed Type in Banach Spaces

ＰｅｒｉｏｄｉｃＢｏｕｎｄａｒｙＶａｌｕｅＰｒｏｂｌｅｍｓｆｏｒＳｅｃｏｎｄＯｒｄｅｒＩｍｐｕｌｓｉｖｅＩｎｔｅｇｒｏ－ｄｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓｏｆＭｉｘｅｄＴｙｐｅｉｎＢａｎａｃｈＳｐａｃｅｓＷｅｉＺｈｏｎｇｌｉ（韦忠礼）（Ｄｅｐ...     

Coupled Quasisolutions of Volterra Intergral Equations with Discontinuons Terms in Banach Spaces

ＣｏｕｐｌｅｄＱｕａｓｉｓｏｌｕｔｉｏｎｓｏｆＶｏｌｔｅｒｒａＩｎｔｅｒｇｒａｌＥｑｕａｔｉｏｎｓｗｉｔｈＤｉｓｃｏｎｔｉｎｕｏｎｓＴｅｒｍｓｉｎＢａｎａｃｈＳｐａｃｅｓ￥ＺｈｏｕＺｈｉ；（周智）ＹｕＺｈａｏｘｉａ（于朝霞）（ＳｈａｎｄｏｎｇＩｎｓｔ...     

Convergence in the r－th Mean and Some Weak laws of Large Numbers for Random Weighted Sums of Random Elements in Banach Spaces

Ｃｏｎｖｅｒｇｅｎｃｅｉｎｔｈｅｒ－ｔｈＭｅａｎａｎｄＳｏｍｅＷｅａｋｌａｗｓｏｆＬａｒｇｅＮｕｍｂｅｒｓｆｏｒＲａｎｄｏｍＷｅｉｇｈｔｅｄＳｕｍｓｏｆＲａｎｄｏｍＥｌｅｍｅｎｔｓｉｎＢａｎａｃｈＳｐａｃｅｓＷａｎｇＸｉａｎｓｃｈｅｎ（王向忱）（Ｄｅ...     

Strong Convergence Theorems for Perturbed Maximal Monotone Operators in Banach Spaces

ＳｔｒｏｎｇＣｏｎｖｅｒｇｅｎｃｅＴｈｅｏｒｅｍｓｆｏｒＰｅｒｔｕｒｂｅｄＭａｘｉｍａｌＭｏｎｏｔｏｎｅＯｐｅｒａｔｏｒｓｉｎＢａｎａｃｈＳｐａｃｅｓＷａｎｇＷｅｉｍｉｎ（王为民）ＺｈａｏＹｉｃｈｕｎ（赵义纯）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａ...     

ANoteonWeaklyCompactSetsinBanachSpace

ＡＮｏｔｅｏｎＷｅａｋｌｙＣｏｍｐａｃｔＳｅｔｓｉｎＢａｎａｃｈＳｐａｃｅ＊）ＷａｎｇＸｉａｏｍｉｎ＊＊）（王晓敏）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨａｒｂｉｎＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ，Ｈａｒｂｉｎ，１５０００１）...     

Stampfli''''s Theorem for Operators on Some Banach Spaces

Ｓｔａｍｐｆｌｉ＇ｓＴｈｅｏｒｅｍｆｏｒＯｐｅｒａｔｏｒｓｏｎＳｏｍｅＢａｎａｃｈＳｐａｃｅｓＪｉａｎｇＣｈｕｎｌａｎ（蒋春澜）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＪｉｌｉｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈａｎｇｃｈｕｎ，１３００２３）Ａｂｓ...     

A Generalization of C—semigroup

§ 1.ＴｈｅＧｅｎｅｒａｌＣ ｓｅｍｉｇｒｏｕｐ　Ｉｎｔｈｉｓｐａｐｅｒ,ｗｅｌｅｔＸｂｅａＢａｎａｃｈｓｐａｃｅ,ａｎｄＢ(Ｘ)ｔｈｅｓｐａｃｅｏｆａｌｌｂｏｕｎｄｅｄｌｉｎｅａｒｏｐｅｒａｔｏｒｓｆｒｏｍＸｉｎｔｏＸ .　Ｄｅｆｉｎｉｔｉｏｎ 1 .1　ＳｕｐｐｏｓｅＣｉｓａｂｏｕｎｄｅｄｉｎｊｅｃｔｉｖｅｏｐｅｒａｔｏｒｆｒｏｍＸｉｎｔｏＸ .Ｔｈｅｆａｍｉｌｙｏｆｂｏｕｎｄｅｄｌｉｎｅａｒｏｐｅｒａｔｏｒｓ (Ｓ(ｔ) ) ｔ≥ 0 ｉｓａｇｅｎｅｒａｌＣ ｓｅｍｉｇｒｏｕｐｉｆｉｔｈａｓｔｈｅｆｏｌｌｏｗｉｎｇ…     

Supporting Functions and The Differentiabilities of the Norms on Banach Spaces

ＳｕｐｐｏｒｔｉｎｇＦｕｎｃｔｉｏｎｓａｎｄＴｈｅＤｉｆｆｅｒｅｎｔｉａｂｉｌｉｔｉｅｓｏｆｔｈｅＮｏｒｍｓｏｎＢａｎａｃｈＳｐａｃｅｓ￥ＷａｎｇＪｉａｎｇｅｎ（王建根）（ＬｕｏｙａｎｇＴｅａｃｈｅｒ＇ｓＣｏｌｌｅｇｅ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓ...     

Very Convex Banach Spaces

ＶｅｒｙＣｏｎｖｅｘＢａｎａｃｈＳｐａｃｅｓＴｅｇｕｓｉ（特古斯）Ｓｕｙａｌａｔｕ（苏雅拉图）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＩｎｎｅｒＭｏｎｇｏｌｉａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｈｕｈｈｏｔ，０１００２２）ＬｉＹｏｎｇｊｉｎ...     

非紧超凸度量空间中的一个新的不动点定理及其对鞍点问题的应用

在非紧超凸度量空间中建立了一个新的不动点定理.作为应用,研究了连续选择及其不动点定理,极大元定理、Ky Fan极大极小不等式和鞍点定理.     

非紧超凸度量空间中的极大元定理及其对极大极小问题和鞍点问题的应用

在非紧超凸度量空间中的非紧次允许子集中建立了一个极大元定理．作为应用,研究了Fan-Browder型不动点定理、KyFan极大极小不等式和鞍点定理．     

非紧超凸度量空间中的一个新的不动点定理及其对鞍点问题的应用

In this paper,a new fixed point theorem is established in noncompact hyperconvex metric spaces.As applications,a continuous selection and its fixed point theorem,an existence theorem for maximal elements,a Ky Fan minimax inequality and an existence theorem for saddle points are obtained.     

Existence of the optimal measurable coupling and ergodicity for Markov processes

The existence theorem of the optimal measurable coupling of two probability kernels on a complete separable metric measurable space is proved. Then by this theorem, a general ergodicity theorem for Markov processes is obtained. And as an immediate application to particle systems the uniqueness theorem of the stationary distribution is supplemented, i.e. the uniqueness theorem also implies the existence of the stationary distribution.     

FC-空间上的相交定理,不等式系解的存在定理

给出了没有任何凸结构的FC-空间上相交定理,并利用此结论得到了变分不等式解的存在定理.最后作为应用,给出了互为等价的集族的相交定理和不等式系的公共解的存在定理,所得结论推广和改进了文献中的相应结果.     

Existence theorems for monotone operators in reflexive Banach spaces

In this paper, we obtain an existence theorem for single-valued monotone operators in a reflexive Banach space. Using this result, we prove a fixed point theorem for nonexpansive mappings in a Hilbert space and an existence theorem for maximal monotone operators in a Banach space. Received: 3 July 2006 Revised: 15 January 2007     

倒向随机微分方程解的比较定理

毛学荣新近将彭实戈和Ｐａｒｄｏｕｘ关于倒向随机策分方程解的存在性定理推广到非Ｌｉｐｓｃｈｉｔｚ系数情景,此文将彭实戈的比较定理推广到这一情形,主要工具是Ｔａｎａｋａ－Ｍｅｙｅｒ公式,Ｄａｖｉｓ不等式和Ｂｉｈａｒｉ不等式。     

Asymptotic existence theorems for frames and group divisible designs

In this paper, we establish an asymptotic existence theorem for group divisible designs of type mn with block sizes in any given set K of integers greater than 1. As consequences, we will prove an asymptotic existence theorem for frames and derive a partial asymptotic existence theorem for resolvable group divisible designs.     

Generalized Variational Relation Problems with Applications

In this paper, we first obtain an existence theorem of the solutions for a variational relation problem. An existence theorem for a variational inclusion problem, a KKM theorem and an extension of the well know Ky Fan inequality will be established, as particular cases. Some applications concerning a saddle point problem with constraints, existence of a common fixed point for two mappings and an optimization problem with constraints, will be given in the last section of the paper.     

Periodic solutions for ordinary differential equations with sublinear impulsive effects

The continuation method of topological degree is used to investigate the existence of periodic solutions for ordinary differential equations with sublinear impulsive effects. The applications of the abstract approach include the generalizations of some classical nonresonance theorem for impulsive equations, for instance, the existence theorem for asymptotically positively homogeneous differential systems and the existence theorem for second order equations with Landesman-Lazer conditions.