Existence results for first order impulsive semilinear evolution inclusions

J. Henderson, Baylor University, Waco, Texas, U.S.A.
M. Benchohra, Université de Sidi Bel Abbés, Sidi Bel Abbés, Algérie
S. K. Ntouyas, University of Ioannina, Ioannina, Greece

E. J. Qualitative Theory of Diff. Equ., No. 1. (2001), pp. 1-12.

Abstract: In this paper the concepts of lower mild and upper mild solutions combined with a fixed point theorem for condensing maps and the semigroup theory are used to investigate the existence of mild solutions for first order impulsive semilinear evolution inclusions.

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