Multiple results of p-Laplacian dynamic equations on time scales

摘要

In this paper, a new fixed point theorem introduced by Avery and Peterson and another fixed point theorem are applied to boundary value problems for p-Laplacian dynamic equations on time scales. By imposing some growth conditions on the nonlinearity f, we establish the existence results of at least three positive solutions. As an application, some examples are included to illustrate the main results.