Uniqueness of a nontrivial solution for third-order nonlinear p-Laplacian m-point eigenvalue problems on time scales

In this paper, we study the uniqueness of a nontrivial solution for third-order nonlinear p-Laplacian m-point eigen-value problems on time scales. We obtain several sufficient conditions of the uniqueness of nontrivial solution. Our approach is based on the Leray-Schauder nonlinear alternative. A example to demonstrate our main result is also given.