Several sufficient conditions of solvability for a nonlinear higher order three-point boundary value problem on time scales

摘要

In this paper, a nonlinear higher order three-point boundary value problem on time scales is considered. Under certain growth conditions on the nonlinearity, several sufficient conditions for the existence of nontrivial solution are obtained by using Leray–Schauder nonlinear alternative. As an application, some examples to demonstrate our results are given.