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Infinitely many homoclinic solutions for some second order Hamiltonian systems

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成果类型:
期刊论文
作者:
Yang, Liu;Chen, Haibo*;Sun, Juntao
通讯作者:
Chen, Haibo
作者机构:
[Chen, Haibo; Yang, Liu; Sun, Juntao] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
[Yang, Liu] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421008, Hunan, Peoples R China.
通讯机构:
[Chen, Haibo] C
Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
语种:
英文
关键词:
Critical point;Fountain theorem;Hamiltonian systems;Homoclinic solutions
期刊:
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN:
0362-546X
年:
2011
卷:
74
期:
17
页码:
6459-6468
基金类别:
NFSCNational Natural Science Foundation of China (NSFC) [10871206]
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
In this paper, we investigate the existence of infinitely many homoclinic solutions for a class of second order Hamiltonian systems. By using fountain theorem due to Zou, we obtain two new criteria for guaranteeing that second order Hamiltonian systems have infinitely many homoclinic solutions. Recent results in the literature are...

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