含有非线性半群的非凸值泛函微分包含

本文研究Banach空间中含有非线性半群的非凸值泛函微分包含，证明了积分解的存在性，得到一个新的存在性定理．     

随机二阶多值周期问题解的存在性

本文研究了随机二阶多值周期问题解的存在性,在非常一般的假定下建立了凸和非凸问题解的存在性定理,并给出了在随机周期反馈控制系统中的应用．     

Hilbert空间中耗散算子的性质研究

文章研究了Hilbert空间中耗散算子的性质,并给出此类算子成为C0压缩半群无穷小生成元的一些条件。     

集值映象不动点指数对微分包含与积分包含多解问题的应用

为获得一类微分包含与积分包含的多解存在性定理，我们应用集值映象不动点指数理论把著名的Ａｍａｎｎ三解定理等多解定理推广到集值映象，我们还用例子说明了所得结果．     

Banach空间中混合型微分—积分包含解的存在性

研究可分Banach空间中一类混合型的微分—积分包含，证明了解的存在性，其单值情形改进和推广了[1～3]中关于混合型微分—积分方程的若干存在性结果。     

随机微分—积分方程解的存在唯一性

本文讨论Ｈｉｌｅｒｔ空间中非线性随机微分－积分方程解的存在性,唯一性,在我们所 一组条件下,得到了解的局部存在唯一性的结果。     

一类分段压缩含参数随机算子方程组的解

本文讨论了一类非单调的具有分段压缩性质的含参数随机算子方程组的解的存在性和唯一性．并在此基础上，给出了其解关于参数的连续依赖性。     

一类积分微分包含的周期解

研究了一类积分微分包含的周期解,利用Kakutani不动点定理和Tichonoff不动点定理给出了凸和非凸两种情形下周期解存在的充分条件.     

Banach空间中预解算子控制的分数阶微分包含解的存在性

利用逼近解的方法,解析预解算子理论和Kakutani不动点定理讨论了预解算子控制的非局部分数阶微分包含,获得了适度解的存在性定理.     

Existence of Solution of Nonlinear Neutral Stochastic Differential Inclusions with Infinite Delay

Abstract

This article is concerned with the existence of solution of nonlinear neutral stochastic differential inclusions with infinite delay in a Hilbert Space. Sufficient conditions for the existence are obtained by using a fixed point theorem for condensing maps due to Martelli.     

二阶非线性中立型无限时滞随机微分包含的可控性

本文主要在希尔伯特空间中讨论了二阶非线性中立型无限时滞随机微分包含的可控性问题.利用凝聚不动点定理得到了系统可控的一个充分性条件.     

具有Hille-Yosida算子的非线性随机脉冲泛函微分包含的可控性

本文研究具有Hille-Yosida算子的非线性随机脉冲泛函微分包含的可控性.假设多值非线性和脉冲函数满足由非紧性测度表示的正则性条件,利用非紧性测度理论和多值凝聚不动点定理,得到这类微分包含的可控性的充分条件.     

Functional Differential Equations With Delay and Random Effects

The authors study the existence of mild solutions to a functional differential equation with delay and random effects. They use a random fixed point theorem with a stochastic domain. An example is included to illustrate their results.     

Existence of mild solutions for abstract semilinear evolution equations in Banach spaces

In this paper, we use a new fixed point theorem to study semilinear evolution equations with the initial conditions in Banach spaces. The results obtained here improve and generalize many known results.     

概率赋范空间中的非线性半群与微分包含*

本文的目的是在概率赋范空间中引入和研究非线性压缩半群,并对增生映象建立Crandal-Ligget指数公式.作为应用,我们将应用这些结果研究概率赋范空间中一类具增生映象的微分包含的Cauchy问题解的存在性.     

On the Solution Sets of Constrained Differential Inclusions with Applications

We study the existence and the structure of solutions to differential inclusions with constraints. We show that the set of all viable solutions to the Cauchy problem for a Carathéodory-type differential inclusion in a closed domain is an R -set provided some mild boundary conditions expressed in terms of functional constraints defining the domain are satisfied. Presented results generalize most of the existing ones. Some applications to the existence of periodic solutions as well as equilibria are given.     

A General Sampling Theorem Associated with Differential Operators

In this paper we prove a general sampling theorem associated with differential operators with compact resolvent. Thus, we are able to recover, through a Lagrange-type interpolatory series, functions defined by means of a linear integral transform. The kernel of this transform is related with the resolvent of the differential operator. Most of the well-known sampling theorems associated with differential operators are shown to be nothing but limit cases of this result.     

Semilinear Impulsive Neutral Functional Differential Inclusions in Banach Spaces

The aim of this article is to study the existence of solutions to some classes of semilinear impulsive neutral functional differential inclusions in Banach spaces. We shall make use of a fixed point theorem for contraction multivalued maps due to Covitz and Nadler.