Existence results on impulsive stochastic semilinear differential inclusions
by Mustapha Meghnafi; Mohamed Ali Hammami; Tayeb Blouhi
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 11, No. 2, 2021

Abstract: In this paper, we present some existence results of mild solutions and study the topological structure of solution sets for the following first-order impulsive stochastic semilinear differential inclusions driven by Poisson jumps with periodic boundary conditions.We consider the cases in which the right hand side can be either convex . The results are obtained by using fixed point theorems for multivalued mappings, more precisely, the technique is based on fixed point theorem a nonlinear alternative of Leray-Schauder's fixed point theorem in generalised metric and Banach spaces.

Online publication date: Mon, 24-May-2021

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