### 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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