On almost periodic mild solutions for neutral stochastic evolution equations with infinite delay

被引：12

作者：

Li, Zhi ^{[1
]}

Liu, Kai ^{[2
]}

Luo, Jiaowan ^{[3
]}

机构：

[1] Yangtze Univ, Sch Informat & Math, Jinzhou 434023, Peoples R China

[2] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England

[3] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 110卷

基金：

中国国家自然科学基金;

关键词：

Quadratic mean almost periodic; Neutral stochastic evolution equations; Infinite delay; DIFFERENTIAL-EQUATIONS; EXISTENCE; STABILITY;

D O I：

10.1016/j.na.2014.08.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of neutral stochastic functional evolution equations with infinite delay is investigated. Under some suitable assumptions, the existence and uniqueness of quadratic mean almost periodic mild solutions for these equations are discussed by means of semigroups of operators and the fixed point method. Moreover, two examples are given to illustrate our results. (C) 2014 Elsevier Ltd.

引用

页码：182 / 190

页数：9

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