Advances in Difference Equations
Volume 2006 (2006), Article ID 82784, 9 pages
Positive solutions of functional difference equations with -Laplacian operator
1School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
2School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China
Received 18 October 2005; Accepted 10 January 2006
Copyright © 2006 Chang-Xiu Song. 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.
The author studies the boundary value problems with -Laplacian
functional difference equation , , ,
, . By using a
fixed point theorem in cones, sufficient conditions are
established for the existence of twin positive solutions.