Existence of positive solutions for nonlinear multipoint p-Laplacian dynamic equations on time scales

Abstract

In this paper, we investigate the existence of positive solutions for nonlinear multipoint boundary valueproblems for p-Laplacian dynamic equations on time scales with the delta derivative of the nonlinear term. Sufficientassumptions are obtained for existence of at least twin or arbitrary even positive solutions to some boundary valueproblems. Our results are achieved by appealing to the fixed point theorems of Avery-Henderson. As an application, anexample to demonstrate our results is given.