Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 118, pp. 1-5.

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

Authors: Safia Benmansour   (Univ. Abou Bekr Belkaid, Tlemcen, Algerie)
         Mohammed Bouchekif (Univ. Abou Bekr Belkaid, Tlemcen, Algerie)

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.