AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (246.1 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Periodic solutions of a class of non-autonomous second-order discrete Hamiltonian systems

Huiting He, Chungen Liu( ), Jiabin Zuo( )
School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China
Show Author Information

Abstract

In this paper, in the view of control functions, the existence of periodic solutions of the following second-order discrete Hamiltonian system

△ 2 u ( n − 1 ) = ∇ F ( n , u ( n ) ) , n ∈ Z

with a generalized sublinear condition is further explored.

Keywords

periodic solutioncontrol functionthe least action principlesaddle point theorem
CLC number: 35B10, 39A23

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 2,
February 2024
Pages 3303-3319
DOI: 10.3934/math.2024161

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
He H, Liu C, Zuo J. Periodic solutions of a class of non-autonomous second-order discrete Hamiltonian systems. AIMS Mathematics, 2024, 9(2): 3303-3319. https://doi.org/10.3934/math.2024161

2

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 19 October 2023
Revised: 14 December 2023
Accepted: 25 December 2023
Published: 15 February 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)