Journal of Applied Mathematics
Volume 2013 (2013), Article ID 320832, 9 pages
http://dx.doi.org/10.1155/2013/320832
Research Article

Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay

Chunmei Zhang, Wenxue Li, and Ke Wang

Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, China

Received 28 November 2012; Accepted 13 February 2013

Academic Editor: Jinde Cao

Copyright © 2013 Chunmei Zhang 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.

Abstract

We make the first attempt to discuss stability and boundedness of solutions to stochastic Volterra integrodifferential equations with infinite delay (IDSVIDEs). By the Lyapunov-Krasovskii functional approach, we get kinds of sufficient criteria for stability and boundedness of solutions to IDSVIDEs. The main innovation here is that stochastic systems with infinite delay can retain stability and boundedness of corresponding deterministic systems under some conditions.