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On the existence and uniqueness of solutions for non-autonomous semi-linear systems with non-instantaneous impulses, delay, and non-local conditions
A non-autonomous evolution semi-linear differential system under non-instantaneous impulses, delays, and perturbed by non-local conditions is studied.Its piece-wise continuous solutions belong to a finite dimensional Banach space.The existence and uniqueness of solutions on the interval [-r, τ] are obtained by applying Karakostas' fixed-point theorem.Further results concerning solution prolongation are developed.An …