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Research Article | Open Access

A discrete second-order Hamiltonian system with asymptotically linear conditions

Xiaoxing Chen, Chungen Liu( ), Jiabin Zuo( )
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
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Abstract

This paper deals with a non-autonomous discrete second-order Hamiltonian system under asymptotically linear conditions. The existence of a periodic solution is obtained via the saddle point theorem.

Keywords

asymptotically linearsecond-order Hamiltonian systemsaddle point theoremperiodic solutionexistence

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Electronic Research Archive
Volume 31 Issue 9,
September 2023
Pages 5151-5160
DOI: 10.3934/era.2023263

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Cite this article:
Chen X, Liu C, Zuo J. A discrete second-order Hamiltonian system with asymptotically linear conditions. Electronic Research Archive, 2023, 31(9): 5151-5160. https://doi.org/10.3934/era.2023263

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Received: 08 June 2023
Revised: 03 July 2023
Accepted: 07 July 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

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