Advances in Difference Equations
Volume 2006 (2006), Article ID 31283, 14 pages

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

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.


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.