Advances in Difference Equations
Volume 2006 (2006), Article ID 31283, 14 pages
doi:10.1155/ADE/2006/31283
Boundary value problems for functional difference equations on infinite intervals
1Department of Electronics and Telecommunications, University of Florence, Florence I-50139, Italy
2Mathematical Institute, Academy of Sciences of the Czech Republic, Brno CZ-61662, Czech Republic
Received 27 May 2005; Accepted 29 June 2005
Copyright © 2006 Mauro Marini 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
A general method for solving boundary value problems associated to
functional difference systems on the discrete half-line is
presented and applied in studying the existence of positive
unbounded solutions for a system of two coupled nonlinear
difference equations. A further example, illustrating the method,
completes the paper.