Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 297478, 15 pages
doi:10.1155/2009/297478
Research Article

Integral Inequality and Exponential Stability for Neutral Stochastic Partial Differential Equations with Delays

Department of Mathematics, School of Science, Nanchang University, Nanchang 330031, China

Received 20 September 2009; Accepted 21 November 2009

Academic Editor: Jozef Banas

Copyright © 2009 Huabin Chen. 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

The aim of this paper is devoted to obtain some sufficient conditions for the exponential stability in p(p2)-moment as well as almost surely exponential stability for mild solution of neutral stochastic partial differential equations with delays by establishing an integral-inequality. Some well-known results are generalized and improved. Finally, an example is given to show the effectiveness of our results.