Asymptotic behavior for neutral stochastic partial differential equations with infinite delays

被引：11

作者：

Cui, Jing ^{[1
]}

Yan, Litan ^{[2
]}

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu, Peoples R China

[2] Donghua Univ, Coll Sci, Dept Math, Shanghai, Peoples R China

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2013年 / 18卷

关键词：

Neutral stochastic partial differential equations; exponential stability; infinite delay; EXPONENTIAL STABILITY; FIXED-POINTS; MILD SOLUTIONS; EXISTENCE;

D O I：

10.1214/ECP.v18-2858

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper is concerned with the existence and asymptotic behavior of mild solutions to a class of non-linear neutral stochastic partial differential equations with infinite delays. By applying fixed point principle, we present sufficient conditions to ensure that the mild solutions are exponentially stable in pth-moment (p >= 2) and almost surely exponentially stable. An example is provided to illustrate the effectiveness of the proposed result.

引用

页码：1 / 12

页数：12

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