Asymptotic behavior for neutral stochastic partial differential equations with infinite delays

作者：Cui, Jing; Yan, Litan^*

来源：Electronic Communications in Probability, 2013, 18(0): 1-12.

DOI：10.1214/ECP.v18-2858

• Neutral stochastic partial differential equations
• exponential stability
• infinite delay

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.

• 出版日期2013-6-8
• 单位安徽师范大学; 东华大学