Periodic Solutions with Prescribed Minimal Period for 2n th-Order Nonlinear Discrete Systems

Abstract

In this paper, by using the critical point theory, some new results of the existence of at least two nontrivial periodic solutions with prescribed minimal period to a class of 2nth-order nonlinear discrete system are obtained. The main approach used in our paper is variational technique and the linking theorem. The problem is to solve the existence of periodic solutions with prescribed minimal period of 2nth-order discrete systems.