Advances in Difference Equations 
Volume 2008 (2008), Article ID 154302, 14 pages
doi:10.1155/2008/154302
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

Recommended by Paul Eloe

Abstract

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.