Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems

doi:10.1016/j.na.2008.10.116

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	Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems
	Ding, Yanheng2 ; Lee, Cheng 1
	2009-09-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	71 期号:5-6 页码:1395-1413
摘要	In this paper, we find new conditions, which are different from those used in previous related studies, to ensure the existence of infinitely many homoclinic orbits for the second order Hamiltonian systems of the form -q = V-q(t, q). Here, we assume that V(t, q) depends periodically on t, and assume, on q, that V(t, q) is asymptotically quadratic at q = 0 and is, as vertical bar q vertical bar -> infinity, either asymptotically quadratic or superquadratic, as well as the new conditions. (C) 2009 Published by Elsevier Ltd
关键词	Asymptotically quadratic and superquadratic Hamiltonian systems Infinitely many homoclinics
DOI	10.1016/j.na.2008.10.116
语种	英语
资助项目	NSFC[10640420049] ; National Science Council of Taiwan[NSC 94-2115-M-018-003] ; National Science Council of Taiwan[NSC 95-2115-M-018-002]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000267127100001
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7012
专题	数学所
通讯作者	Lee, Cheng
作者单位	1.Natl Changhua Univ Educ, Dept Math, Changhua 50057, Taiwan 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Lee, Cheng. Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2009,71(5-6):1395-1413.
APA	Ding, Yanheng,&Lee, Cheng.(2009).Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,71(5-6),1395-1413.
MLA	Ding, Yanheng,et al."Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71.5-6(2009):1395-1413.