Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations. (1st July 2009)

• Record Type: Journal Article
• Authors: Fu, Xianlong
• Other Names: Banas Jozef Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2009(2009)
• Publication Date: 2009-07-01
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2009/785628
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : We establish the results on existence and exponent stability of solutions for a semilinear nonautonomous neutral stochastic evolution equation with finite delay; the linear part of this equation is dependent on time and generates a linear evolution system. The obtained results are applied to some neutral stochastic partial differential equations. These kinds of equations arise in systems related to couple oscillators in a noisy environment or in viscoelastic materials under random or stochastic influences.