International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 603819, 16 pages
doi:10.1155/2010/603819
Research Article

Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type

K. Balachandran1 and J.-H. Kim2

1Department of Mathematics, Bharathiar University, Coimbatore 641 046, India
2Department of Mathematics, Yonsei University, Seoul 120-749, South Korea

Received 13 August 2009; Accepted 19 January 2010

Academic Editor: Jewgeni Dshalalow

Copyright © 2010 K. Balachandran and J.-H. Kim. 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 establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems. The results obtained in this paper generalize the results of several papers.