EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR STOCHASTIC IMPULSIVE DIFFERENTIAL EQUATIONS

This paper is concerned with the existence and uniqueness of solutions for stochastic impulsive differential equations. Some sufficient conditions are obtained by using the notion of measure of noncompactness and the Leray–Schauder type fixed theorem. Since the conditions do not need special requirement of the impulsive function, the results we obtained is more reflexible. An example will illustrate the effectiveness.