Journal of Applied Mathematics and Stochastic Analysis 
Volume 8 (1995), Issue 2, Pages 201-208
doi:10.1155/S1048953395000190

Remarks on the controllability of nonlinear perturbations of Volterra integrodifferential systems

K. Balachandran and P. Balasubramaniam

 Bharathiar University, Department of Mathematics, Coimbatore 641 046, Tamil Nadu, India
Received 1 August 1994; Revised 1 March 1995

Abstract

Sufficient conditions for the complete controllability of nonlinear perturbations of Volterra integrodifferential systems with implicit derivative are established. The results generalize the results of Dauer and Balachandran [9] and are obtained through the notions of condensing map and measure of noncompactness of a set.