Electron. J. Diff. Eqns., Vol. 2001(2001), No. 41, pp. 1-8.

Existence results for functional differential inclusions

M. Benchohra & S. K. Ntouyas

Abstract:
In this note we investigate the existence of solutions to functional differential inclusions on compact intervals. We use the fixed point theorem introduced by Covitz and Nadler for contraction multi-valued maps.

Submitted March 30, 2001. Published June 4, 2001.
Math Subject Classifications: 34A60, 34K10.
Key Words: Functional differential inclusions, measurable selection, contraction multi-valued map, existence, fixed point, Banach space.

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Mouffak Benchohra
Departement de Mathematiques
Universite de Sidi Bel Abbes
BP 89, 22000 Sidi Bel Abbes, Algerie
e-mail: benchohra@yahoo.com
Sotiris K. Ntouyas
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
e-mail: sntouyas@cc.uoi.gr

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