Electron. J. Diff. Eqns., Vol. 2003(2003), No. 52, pp. 1-10.

Multiple solutions for nonresonance impulsive functional differential equations

Mouffak Benchohra & Abdelghani Ouahab

Abstract:
In this paper we investigate the existence of multiple solutions for first and second order impulsive functional differential equations with boundary conditions. Our main tool is the Leggett and Williams fixed point theorem.

Submitted January 8, 2003. Published May 3, 2003.
Math Subject Classifications: 34A37, 34K25.
Key Words: Nonresonance impulsive functional differential equations, boundary conditions, fixed point, multiple solutions, cone, concave functional

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Mouffak Benchohra
Laboratoire de Mathematiques
Universite de Sidi Bel Abbes
BP 89 2000 Sidi Bel Abbes, Algerie
email: benchohra@univ-sba.dz
Abdelghani Ouahab
Laboratoire de Mathematiques
Universite de Sidi Bel Abbes
BP 89 2000 Sidi Bel Abbes, Algerie
email: ouahabi_abdelghani@yahoo.fr

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