Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 396840, 12 pages
doi:10.1155/2010/396840
On Nonlinear Boundary Value Problems for Functional Difference Equations with p-Laplacian
Yong Wan1
and Yuji Liu2
1Department of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410000, China
2Department of Mathematics, Guangdong University of Business Studies, Guangzhou 510000, China
Abstract
Sufficient conditions for the existence of solutions of nonlinear boundary value problems for higher-order functional difference equations with p-Laplacian are established by making of continuation theorems. We allow f to be at most linear, superlinear, or sublinear in obtained results.