Electronic Journal of Differential Equations, Vol. 2010(2010), No. 175, pp. 1-8. Title: Existence of solutions to differential inclusions with delayed arguments Author: Lotfi Boudjenah (Univ. of Oran, Algeria) Abstract: In this work we investigate the existence of solutions to differential inclusions with a delayed argument. We use a fixed point theorem to obtain a solution and then provide an estimate of the solution. Submitted Submitted May 24, 2010. Published December 15, 2010. Math Subject Classifications: 34A60, 49J24, 49K24. Key Words: Delayed argument; differential inclusion; fixed point; set-valued; upper semi-continuity.