Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay

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 wel...

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Bibliographic Details
Main Authors: Jing Cui, Litan Yan, Xichao Sun
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/235937