International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 748590, 12 pages
http://dx.doi.org/10.1155/2012/748590
Research Article

Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz Coefficients

Mamadou Abdoul Diop,1 Khalil Ezzinbi,2 and Modou Lo1

1Département de Mathématiques, UFR SAT, Université Gaston Berger de Saint-Louis, P.O. Box 234, Saint-Louis, Senegal
2Département de Mathématiques, Faculté des Sciences Semlalia, Université Cadi Ayyad, P.O. Box 2390 Marrakech, Morocco

Received 9 November 2011; Revised 17 January 2012; Accepted 25 January 2012

Academic Editor: Charles E. Chidume

Copyright © 2012 Mamadou Abdoul Diop 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

This paper presents the result on existence, uniqueness of mild solutions to neutral stochastic partial functional integrodifferential equations under the Carathéodory-type conditions on the coefficients. The results are obtained by using the method of successive approximation. An example is provided to illustrate the results of this work.