Nonresonance impulsive higher order functional nonconvex-valued differential inclusions

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

E. J. Qualitative Theory of Diff. Equ., No. 13. (2002), pp. 1-13.

Abstract: In this paper, the authors investigate the existence of solutions for nonresonance impulsive higher order functional differential inclusions in Banach spaces with nonconvex valued right hand side. They present two results. In the first one, they rely on a fixed point theorem for contraction multivalued maps due to Covitz and Nadler, and for the second one, they use Schaefer's fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values.

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