Advances in Difference Equations
Volume 2008 (2008), Article ID 496078, 9 pages
Research Article

Triple Positive Solutions of Fourth-Order Four-Point Boundary Value Problems for p-Laplacian Dynamic Equations on Time Scales

Mei-Qiang Feng,1,2 Xiang-Gui Li,1 and Wei-Gao Ge2

1Department of Fundamental Sciences, Beijing Information Technology Institute, Beijing 100101, China
2Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China

Received 5 September 2007; Revised 25 November 2007; Accepted 7 January 2008

Academic Editor: Martin J. Bohner

Copyright © 2008 Mei-Qiang Feng 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 new triple fixed-point theorem is applied to investigate the existence of at least triple positive solutions of fourth-order four-point boundary value problems for p-Laplacian dynamic equations on a time scale. The interesting point is that we choose an inversion technique employed by Avery and Peterson in 1998.