Advances in Difference Equations
Volume 2008 (2008), Article ID 154302, 14 pages
Research Article

An Existence Principle for Nonlocal Difference Boundary Value Problems with φ-Laplacian and Its Application to Singular Problems

Ravi P. Agarwal,1 Donal O'Regan,2 and Svatoslav Stanêk3

1Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA
2Department of Mathematics, National University of Ireland, Galway, Ireland
3Department of Mathematical Analysis, Faculty of Science, Palacký University, Tomkova 40, Olomouc 77900, Czech Republic

Received 15 November 2007; Accepted 22 January 2008

Academic Editor: Paul Eloe

Copyright © 2008 Ravi P. Agarwal et al. 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.


The paper presents an existence principle for solving a large class of nonlocal regular discrete boundary value problems with the φ-Laplacian. Applications of the existence principle to singular discrete problems are given.