Electron. J. Diff. Equ., Vol. 2011 (2011), No. 118, pp. 1-5.

Existence and uniqueness of solutions for a Neumann boundary-value problem

Safia Benmansour, Mohammed Bouchekif

Abstract:
In this article, we show the existence and uniqueness of positive solutions for perturbed Neumann boundary-value problems of second-order differential equations. We use a fixed point theorem for general alpha-concave operators.

Submitted July 25, 2011. Published September 14, 2011.
Math Subject Classifications: 34B15, 47N20.
Key Words: Positive solution; existence and uniqueness; normal cone; alpha-concave operator; Green's function.

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Safia Benmansour
Laboratoire Systèmes Dynamiques et Applications
Université Abou Bekr Belkaid, 13 000 Tlemcen, Algérie
email: safiabenmansour@hotmail.fr
Mohammed Bouchekif
Laboratoire Systèmes Dynamiques et Applications
Université Abou Bekr Belkaid, 13 000 Tlemcen, Algérie
email: m_bouchekif@yahoo.fr

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