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Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems

文献类型：期刊论文

作者Ding, Yanheng2; Lee, Cheng1
刊名NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
出版日期2009-09-01
卷号71期号:5-6页码:1395-1413
关键词Asymptotically quadratic and superquadratic Hamiltonian systems Infinitely many homoclinics
ISSN号0362-546X
DOI10.1016/j.na.2008.10.116
英文摘要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
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
语种英语
WOS记录号WOS:000267127100001
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7011]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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