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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 235937, 8 pages
Research Article

Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay

1Department of Mathematics, Anhui Normal University, 1 East Beijing Road, Wuhu 241000, China
2Department of Mathematics, Donghua University, 2999 North Renmin Road, Songjiang, Shanghai 201620, China
3Department of Mathematics and Physics, Bengbu College, Bengbu 233030, China

Received 9 November 2013; Accepted 17 December 2013; Published 8 January 2014

Academic Editor: Weilin Xiao

Copyright © 2014 Jing Cui et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.