Existence of multiple positive solutions for third-order p -Laplacian functional dynamic equations on time scales

摘要

In this paper, we consider a class of boundary value problems for third-order p-Laplacian functional dynamic equations on time scales, some existence criteria of at least three positive solutions are established. The main tool used in this paper is the fixed point theorem due to Avery and Peterson (Comput. Math. Appl. 42:313-322, 2001). MSC:39K10, 34B15.