Triple positive solutions for a class of mm-point dynamic equations on time scales with pp-Laplacian

This paper deals with a class of second-order nonlinear mm-point dynamic equation on time scales with one-dimensional pp-Laplacian. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is that the nonlinear term ff is involved with the first-order delta derivative explicitly. Meanwhile, an example is worked out to demonstrate the main results.