Dogan, Abdulkadir2021-09-292021-09-2920160170-42141099-1476https://doi.org/10.1002/mma.3258https://hdl.handle.net/20.500.12573/973This work deals with the existence and uniqueness of a nontrivial solution for the third-order p-Laplacian m-point eigenvalue problems on time scales. We find several sufficient conditions of the existence and uniqueness of nontrivial solution of eigenvalue problems when lambda is in some interval. The proofs are based on the nonlinear alternative of Leray-Schauder. To illustrate the results, some examples are included. Copyright (C) 2014 John Wiley & Sons, Ltd.enginfo:eu-repo/semantics/closedAccessfixed point theoremnonlinear alternative of Leray-Schaudernontrivial solutionsp-Laplacianeigenvalue problemtime scalesEigenvalue problems for nonlinear third-order m-point p-Laplacian dynamic equations on time scalesarticleVolume 39 Issue 7 Page 1634-1645