Asymptotic stability of impulsive stochastic partial differential equations with infinite delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:356

Article

Sakthivel, R.¹  Luo, J.² 

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Guangdong, Peoples R China

关键词: Asymptotic stability;    Mild solution;    Impulsive stochastic equations;    Infinite delay;   

DOI  :  10.1016/j.jmaa.2009.02.002

来源: Elsevier

【 摘 要 】

In this paper, we study the existence and asymptotic stability in pth moment of mild solutions to nonlinear impulsive stochastic partial differential equations with infinite delay. By employing a fixed point approach, sufficient conditions are derived for achieving the required result. These conditions do not require the monotone decreasing behaviour of the delays. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free