Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay

Jing Cui, Litan Yan and Xichao Sun

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential stability in mean square of mild solutions as well as its sample paths. Some known results are generalized and improved.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:235937

DOI: 10.1155/2014/235937

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