On almost periodic mild solutions for stochastic functional differential equations

被引：36

作者：

Cao, Junfei ^{[1
]}

Yang, Qigui ^{[1
]}

Huang, Zaitang ^{[2
]}

机构：

[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

[2] Guangxi Teachers Educ Univ, Sch Math Sci, Nanning 530023, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Stochastic functional differential equations; Quadratic-mean almost periodic solution; Stability; EXPONENTIAL STABILITY; NEURAL-NETWORKS; DELAYS; EXISTENCE; BEHAVIOR;

D O I：

10.1016/j.nonrwa.2011.07.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of stochastic functional differential equations given by dx(t) = (Ax(t) + F(t, x(t), x(t)))dt + G(t, x(t), x(t)) o d omega(t), t is an element of [0, T], x(t) = phi(t) for t is an element of [-sigma, 0], is investigated. Under some suitable assumptions, the existence and stability of quadratic-mean almost periodic mild solutions for the equations are discussed by means of semigroups of operators and fixed point method. Moreover, an example is given to illustrate our results. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.

引用

页码：275 / 286

页数：12

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