Asymptotic behavior for neutral stochastic partial differential equations with infinite delays

Jing Cui (Anhui Normal University)
Litan Yan (Donghua University)

Abstract


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 $p$th-moment ($p\geq 2$) and almost surely exponentially stable. An example is provided to illustrate the effectiveness of the proposed result.

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Pages: 1-12

Publication Date: June 8, 2013

DOI: 10.1214/ECP.v18-2858

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