Rotating periodic solutions for asymptotically linear second-order Hamiltonian systems with resonance at infinity

被引：31

作者：

Liu, Guanggang ^{[1
,2
,4
]}

Li, Yong ^{[1
,2
,3
]}

Yang, Xue ^{[1
,2
,3
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Jilin, Peoples R China

[3] Jilin Univ, Coll Math, Changchun 130012, Jilin, Peoples R China

[4] Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 18期

关键词：

Morse theory; rotating periodic solutions; second-order Hamiltonian systems; CRITICAL-POINT; DIFFERENTIAL-EQUATIONS; MORSE-THEORY; COMPUTATIONS; THEOREMS;

D O I：

10.1002/mma.4518

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of asymptotically linear second-order Hamiltonian system with resonance at infinity. We will use Morse theory combined with the technique of penalized functionals to obtain the existence of rotating periodic solutions.

引用

页码：7139 / 7150

页数：12

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