Advances in Difference Equations
Volume 2008 (2008), Article ID 154302, 14 pages
doi:10.1155/2008/154302
An Existence Principle for Nonlocal Difference Boundary Value Problems with φ-Laplacian and Its Application to Singular Problems
Ravi P. Agarwal1
, Donal O'Regan2
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
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.