Advances in Difference Equations
Volume 2010 (2010), Article ID 540365, 18 pages
Research Article

The Existence and Exponential Stability for Random Impulsive Integrodifferential Equations of Neutral Type

Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, China

Received 24 March 2010; Revised 9 July 2010; Accepted 28 July 2010

Academic Editor: Claudio Cuevas

Copyright © 2010 Huabin Chen 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.


By applying the Banach fixed point theorem and using an inequality technique, we investigate a kind of random impulsive integrodifferential equations of neutral type. Some sufficient conditions, which can guarantee the existence, uniqueness, and exponential stability in mean square for such systems, are obtained. Compared with the previous works, our method is new and our results can generalize and improve some existing ones. Finally, an illustrative example is given to show the effectiveness of the proposed results.