Mathematical Problems in Engineering 
Volume 2003 (2003), Issue 2, Pages 65-79
doi:10.1155/S1024123X03201022

Existence of solutions and controllability of nonlinear integrodifferential systems in Banach spaces

K. Balachandran1 and J. Y. Park2

 1Department of Mathematics, Bharathiar University, Coimbatore 641 046, India
2Department of Mathematics, Pusan National University, Pusan 609-735, Korea
Received 17 January 2002

Abstract

We prove the existence of mild and strong solutions of integrodifferential equations with nonlocal conditions in Banach spaces. Further sufficient conditions for the controllability of integrodifferential systems are established. The results are obtained by using the Schauder fixed-point theorem. Examples are provided to illustrate the theory.