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

AbstractIn 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