Positive solutions of four-point boundary-value problems for four-order p-Laplacian dynamic equations on time scales

Abstract

We study the existence of positive solutions for the nonlinear four-point singular boundary-value problem with p-Laplacian operator on time scales. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary-value problem with p-Laplacian operator are obtained.