Journal of Applied Mathematics and Stochastic Analysis 
Volume 10 (1997), Issue 3, Pages 279-288
doi:10.1155/S104895339700035X

Existence of solutions of nonlinear integrodifferential equation with nonlocal condition

K. Balachandran and M. Chandrasekaran

 Bharathiar University, Department of Mathematics, Coimbatore 641 046, Tamil Nadu, India
Received 1 February 1996; Revised 1 January 1997

Abstract

In this paper we prove the existence and uniqueness of local and global solutions of a nonlocal Cauchy problem for a class of integrodifferential equation. The method of semigroups and the contraction mapping principle are used to establish the results.