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

Mauro Marini,1 Serena Matucci,1 and Pavel Řehák2

 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

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.