Advances in Difference Equations
Volume 2009 (2009), Article ID 848191, 19 pages
doi:10.1155/2009/848191
Existence of Positive Solutions in Generalized Boundary Value Problem for p-Laplacian Dynamic Equations on Time Scales
Wenyong Zhong
and Wei Lin
Research Center and Key Laboratory of Mathematics for Nonlinear Sciences, School of Mathematical Sciences, Fudan University, Shanghai 200433, China
Abstract
We analytically establish the conditions for the existence of at least two or three positive solutions in the generalized m-point boundary value problem for the p-Laplacian dynamic equations on time scales by means of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem. Furthermore, we illustrate the possible application of our analytical results with a concrete and nontrivial dynamic equation on specific time scales.