Journal of Applied Mathematics and Stochastic Analysis 
Volume 15 (2002), Issue 3, Pages 269-276
doi:10.1155/S1048953302000230

A method of upper and lower solutions for functional differential inclusions

Mouffak Benchohra1 and Sotiris K. Ntouyas2

 1University of Sidi Bel Abbés, Department of Mathematics, BP 89, Sidi Bel Abbés 22000, Algeria
2University of Ioannina, Department of Mathematics, Ioannina 451 10, Greece
Received 1 February 2001; Revised 1 January 2002

Abstract

In this paper, a fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for first order functional differential inclusions.