Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay. (8th January 2014)

• Record Type: Journal Article
• Authors: Cui, Jing; Yan, Litan; Sun, Xichao
• Other Names: Xiao Weilin Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-01-08
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/235937
• Languages: English
• ISSNs: 1085-3375

Abstract

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.