Journal of Applied Mathematics and Stochastic Analysis 
Volume 5 (1992), Issue 4, Pages 315-323
doi:10.1155/S1048953392000261

Existence of solutions of functional differential inclusions

A. Anguraj and K. Balachandran

 Bharathiar University, Department of Mathematics, Coimbatore 641 046, Tamil Nadu, India
Received 1 March 1992; Revised 1 May 1992

Abstract

We prove the existence of solutions of a functional differential inclusion. By using the variation of parameters formula we convert the functional differential inclusion into an integral inclusion and prove the existence of a fixed point of the set-valued mapping with the help of the Kakutani-Bohnenblust-Karlin fixed point theorem.