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.
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页码：1 / 12
页数：12
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