Solutions to nonlinear second-order three-point boundary value problems of dynamic equations on time scales

Abstract

In this paper, we consider existence criteria of three positive solutions of three-point boundary value problemsfor p-Laplacian dynamic equations on time scales. To show our main results, we apply the well-known Leggett–Williamsfixed point theorem. Moreover, we present some results for the existence of single and multiple positive solutions forboundary value problems on time scales, by applying fixed point theorems in cones. The conditions we used in thepaper are different from those in [Dogan A. On the existence of positive solutions for the one-dimensional p-Laplacianboundary value problems on time scales. Dynam Syst Appl 2015; 24: 295-304].