Five periodic solutions for a class of subquadratic second-order even Hamiltonian systems

被引：1

作者：

Ou, Hua-Xin ^{[1
]}

Li, Chun ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 133卷

基金：

中国国家自然科学基金;

关键词：

Hamiltonian systems; Periodic solutions; Minimal period; Critical point; PRESCRIBED MINIMAL PERIOD; LAGRANGIAN SYSTEMS;

D O I：

10.1016/j.aml.2022.108219

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a class of second-order subquadratic Hamiltonian systems with even potentials. The existence of at least five periodic solutions are obtained. Especially, two solutions possess the minimal period. The proof is based on the least action principle and the minimax methods in critical point theory. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：6

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