Advances in Difference Equations
Volume 2010 (2010), Article ID 971540, 18 pages
doi:10.1155/2010/971540
Research Article

Existence and Uniqueness of Positive Solutions for Discrete Fourth-Order Lidstone Problem with a Parameter

Yanbin Sang,1,2 Zhongli Wei,2,3 and Wei Dong4

1Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China
2School of Mathematics, Shandong University, Jinan, Shandong 250100, China
3Department of Mathematics, Shandong Jianzhu University, Jinan, Shandong 250101, China
4Department of Mathematics, Hebei University of Engineering, Handan, Hebei 056021, China

Received 9 January 2010; Revised 23 March 2010; Accepted 26 March 2010

Academic Editor: A. Pankov

Copyright © 2010 Yanbin Sang 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.

Abstract

This work presents sufficient conditions for the existence and uniqueness of positive solutions for a discrete fourth-order beam equation under Lidstone boundary conditions with a parameter; the iterative sequences yielding approximate solutions are also given. The main tool used is monotone iterative technique.