Multiple periodic solutions with prescribed minimal period to second-order Hamiltonian systems

被引：5

作者：

Precup, Radu ^{[1
]}

机构：

[1] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2014年 / 29卷 / 03期

关键词：

second-order Hamiltonian system; periodic solution; minimal period; anti-periodic solution; multiple solutions; Ekeland's variational principle;

D O I：

10.1080/14689367.2014.911410

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new variational method based on Ekeland's principle is introduced for the existence, localization and multiplicity of periodic solutions of a prescribed minimal period to second-order Hamiltonian systems. The oscillatory property at zero or infinity of only one component of the gradient of the potential function is sufficient for the existence of infinitely many solutions. Also, oscillating properties of several components of the gradient of the potential function yield sequences of solutions with some of the components tending in norm to zero and others to infinity.

引用

页码：424 / 438

页数：15

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