Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 407623, 14 pages
doi:10.1155/2009/407623
Research Article

Existence of Solutions to Boundary Value Problems for the Discrete Generalized Emden-Fowler Equation

Tieshan He and Fengjian Yang

Department of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou, Guangdong 510225, China

Received 16 May 2009; Revised 30 October 2009; Accepted 29 November 2009

Academic Editor: Leonid Berezansky

Copyright © 2009 Tieshan He and Fengjian Yang. 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

We consider the existence of solutions to boundary value problems for the discrete generalized Emden-Fowler equation. By means of the minimax methods in the critical point theory, some new results are obtained. Two examples are also given to illustrate the main results.