The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness

被引：40

作者：

Anguraj, A. ^{[1
]}

Wu, Shujin ^{[2
]}

Vinodkumar, A. ^{[1
]}

机构：

[1] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, Tamil Nadu, India

[2] E China Normal Univ, Sch Finance & Stat, Dept Stat & Actuarial Sci, Shanghai 200241, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 02期

基金：

上海市自然科学基金; 中国国家自然科学基金;

关键词：

Mild solutions; Semilinear differential equation; Random impulse; Existence; Exponential stability; Leray-Schauder alternative fixed point theorem; FIXED-POINTS; SYSTEMS;

D O I：

10.1016/j.na.2010.07.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence and exponential stability of mild solutions of semilinear differential equations with random impulses are studied under non-uniqueness in a real separable Hilbert space. The results are obtained by using the Leray-Schauder alternative fixed point theorem. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：331 / 342

页数：12

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