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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  2 n th-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  2 n th-order discrete systems.

discrete dynamics in nature and society

Periodic Solutions with Prescribed Minimal Period for <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mn>2</mn> <mi>n</mi> </math> th-Order Nonlinear Discrete Systems

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

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