Advances in Difference Equations
Volume 2009 (2009), Article ID 123565, 20 pages
doi:10.1155/2009/123565

Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales

Abstract

We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a p-Laplacian operator on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. Existence result for p-Laplacian boundary value problem is also given by the monotone method.