Mathematical Problems in Engineering
Volume 2003 (2003), Issue 2, Pages 65-79

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

Copyright © 2003 K. Balachandran and J. Y. Park. 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.


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.