ATTRACTING AND QUASI-INVARIANT SETS OF STOCHASTIC NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：29

作者：

Li, Dingshi ^{[1
]}

Xu, Daoyi ^{[2
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

[2] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Attracting; quasi-invariant; neutral; stochastic; EXPONENTIAL STABILITY; ASYMPTOTIC-BEHAVIOR; DELAYS; MANIFOLDS;

D O I：

10.1016/S0252-9602(13)60021-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we investigate a class of stochastic neutral partial functional differential equations. By establishing new integral inequalities, the attracting and quasi-invariant sets of stochastic neutral partial functional differential equations are obtained. The results in [15, 16] are generalized and improved.

引用

页码：578 / 588

页数：11

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