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