Abdelkader Boucherif, Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, B.O. Box 5046 Dahran 31261, SAUDI ARABIA
E-mail: firstname.lastname@example.org, email@example.com
Abstract. In this paper, a nonlinear alternative for multivalued maps is used to investigate the existence of solutions of first order impulsive initial value problem for differential inclusions in Banach spaces.
AMSclassification. 34A37, 34A60, 34G20
Keywords. Impulsive initial value problem, multivalued map, a priori bounds, existence, fixed point.