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, issue 1

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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https://doi.org/10.1155/2014/235937

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:235937

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