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.
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页码：7139 / 7150
页数：12
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