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Periodic Solutions with Prescribed Minimal Period for 2 n th-Order Nonlinear Discrete Systems
Author(s) -
Haiping Shi,
Peifang Luo,
Zan Huang
Publication year - 2021
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2021/2432761
Subject(s) - order (exchange) , mathematics , nonlinear system , class (philosophy) , period (music) , point (geometry) , discrete mathematics , computer science , physics , finance , quantum mechanics , artificial intelligence , acoustics , economics , geometry
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.

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