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Authors: TAYEB BLOUHI, MOHAMED FERHAT.
In this article, we present results on the existence and the topological structure of the solution set for initial-value problems relating to the first-order impulsive differential equation with infinite Brownian motions are proved. The approach is based on nonlinear alternative Leray-Schauder type theorem in generalized Banach spaces.
Keywords: φ-Laplacian stochastic differential equation, Wiener process, impulsive differential equations, matrix convergent to zero, generalized Banach space, fixed point.
