Periodic Solutions Of Sixth Order Nonlinear Periodic Boundary Value Problems

This paper mainly investigates the existence and nontrivial periodic solutions of a class of sixth order nonlinear periodic boundary value problems.In Chapter1, we firstly introduce the basic background of nonlinear analysis, the origin of variational method, and the logics of solving problems while the function J satisfies various conditions.In Chapter2, we present the fundamental theoretical knowledge applied in this paper.In Chapter3, we discuss the periodic solutions of sixth order nonlinear periodic boundary value problems. To start the research of this class of sixth order nonlinear periodic boundary value problems, we set a variational framework and obtain the existence results of non-trivial, positive and negative solutions.