SUBHARMONIC SOLUTIONS FOR FIRST-ORDER HAMILTONIAN SYSTEMS

被引：0

作者：

Timoumi, Mohsen ^{[1
]}

机构：

[1] Fac Sci, Dept Math, Monastir 5000, Tunisia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Hamiltonian systems; periodic solutions; subharmonic; minimal periods; generalized saddle point theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence of periodic and subharmonic solutions for a class of non-autonomous first-order Hamiltonian systems such that the nonlinearity has a growth at infinity faster than vertical bar x vertical bar(alpha), 0 <= alpha < 1. We also study the minimality of periods for such solutions. Our results are illustrated by specific examples. The proofs are based on the least action principle and a generalized saddle point theorem.

引用

页数：14

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