Existence of positive solutions for pp-Laplacian three-point boundary value problems on time scales

In this paper we consider a class of pp-Laplacian three-point boundary value problems on time scales. Existence criteria for at least three positive solutions are established by using a fixed point theorem for operators on a cone. An example is also presented to illustrate the applications of the obtained results. The interesting point is that the nonlinear term in the dynamic equation is associated with the first order derivative.