Journal of Applied Mathematics and Stochastic Analysis
Volume 5 (1992), Issue 4, Pages 315-323
Existence of solutions of functional differential inclusions
Bharathiar University, Department of Mathematics, Coimbatore 641 046, Tamil Nadu, India
Received 1 March 1992; Revised 1 May 1992
Copyright © 1992 A. Anguraj and K. Balachandran. 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 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.