Advances in Difference Equations
Volume 2008 (2008), Article ID 496078, 9 pages
doi:10.1155/2008/496078
Triple Positive Solutions of Fourth-Order Four-Point Boundary Value Problems for p-Laplacian Dynamic Equations on Time Scales
Mei-Qiang Feng1
, Xiang-Gui Li1
and Wei-Gao Ge3
1Department of Fundamental Sciences, Beijing Information Technology Institute, Beijing 100101, China
3Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
Abstract
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.