International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 927607, 16 pages
http://dx.doi.org/10.1155/2012/927607
Research Article

On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems

Blaise Kone1 and Stanislas Ouaro2

1Laboratoire d'Analyse Mathématique des Equations (LAME), Institut Burkinabé des Arts et Métiers, Université de Ouagadougou, 03 BP 7021, Ouagadougou 03, Burkina Faso
2Laboratoire d'Analyse Mathématique des Equations (LAME), UFR Sciences Exactes et Appliquées, Université de Ouagadougou, 03 BP 7021, Ouagadougou 03, Burkina Faso

Received 22 March 2012; Accepted 27 April 2012

Academic Editor: Paolo Ricci

Copyright © 2012 Blaise Kone and Stanislas Ouaro. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove the existence and uniqueness of solutions for a family of discrete boundary value problems by using discrete's Wirtinger inequality. The boundary condition is a combination of Dirichlet and Neumann boundary conditions.