Multiple positive solutions of n-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales

摘要

In this paper, we study the n-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales. By using the Leray-Schauder fixed point theorem and the nonlinear alternative of Leray-Schauder type, we get the existence of at least one positive solution. We also consider the existence of at least three positive solutions by using a new fixed point theorem. As an application, we give an example to demonstrate our results.