Electron. J. Diff. Eqns., Vol. 2006(2006), No. 23, pp. 1-11.

Existence theory for perturbed hyperbolic differential inclusions

Abdelkader Belarbi, Mouffak Benchohra

Abstract:
In this paper, the existence of solutions and extremal solutions for a perturbed hyperbolic differential inclusion is proved under the mixed generalized Lipschitz and Caratheodory's conditions.

Submitted March 25, 2005. Published February 23, 2006.
Math Subject Classifications: 35L70, 35L20, 35R70.
Key Words: Hyperbolic differential inclusion; fixed point; extremal solutions.

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Abdelkader Belarbi
Laboratoire de Mathématiques
Université de Sidi Bel Abbes
BP 89 2000 Sidi Bel Abbès, Algérie
email:aek_belarbi@yahoo.fr
Mouffak Benchohra
Laboratoire de Mathématiques
Université de Sidi Bel Abbes
BP 89 2000 Sidi Bel Abbès, Algérie
email: benchohra@univ-sba.dz

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