Electron. J. Diff. Eqns., Vol. 2005(2005), No. 06, pp. 1-10.

Existence results for nonlinear boundary-value problems with integral boundary conditions

Abdelkader Belarbi, Mouffak Benchohra

Abstract:
In this paper, we investigate the existence of solutions for a second order nonlinear boundary-value problem with integral boundary conditions. By using suitable fixed point theorems, we study the cases when the right hand side has convex and nonconvex values.

Submitted July 19, 2004. Published January 4, 2005.
Math Subject Classifications: 34A60, 34B15.
Key Words: Nonlinear boundary-value problem; integral boundary conditions; contraction; fixed point.

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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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