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
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.
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.