Abstract:In this paper we discuss the existence of oscillatory and nonoscillatory solutions of first order impulsive differential inclusions. We shall rely on a fixed point theorem of Bohnenblust-Karlin combined with lower and upper solutions method.
Keywords: impulsive differential inclusions, lower and upper solution, existence, nonoscillatory, oscillatory, fixed point
AMS Subject Classification: 34A37, 34A60, 34C10