Existence results for impulsive semilinear damped differential inclusions

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

E. J. Qualitative Theory of Diff. Equ., No. 11. (2003), pp. 1-19.

Communicated by G. Makay. Appeared on 2003-06-12

Abstract: In this paper we investigate the existence of mild solutions for first and second order impulsive semilinear evolution inclusions in separable Banach spaces. By using suitable fixed point theorems, we study the case when the multivalued map has convex and nonconvex values.


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