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