Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system

doi:10.1016/j.jde.2008.12.013

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	Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system
	Ding, Yanheng 1,2; Lee, Cheng
	2009-04-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	246 期号:7 页码:2829-2848
摘要	This paper deals with existence and exponential decay of homoclinic orbits in the first-order Hamiltonian system (z) over dot = (sic) H-z(t, z) where the Hamiltonian function H(t,z) is nonperiodic in t is an element of R and superquadratic in z is an element of R-2N. With certain mild conditions we obtain the solutions via variational methods for strongly indefinite problems. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Homoclinics Exponential decay Nonperiodic superquadratic Hamiltonian
DOI	10.1016/j.jde.2008.12.013
语种	英语
资助项目	National Science Council of Taiwan[NSC 96-2115-M-018-003] ; National Science Council of Taiwan[NSC 97-2115-M-018001]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000264572500012
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8952
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, Yanheng
作者单位	1.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China 2.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Lee, Cheng. Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,246(7):2829-2848.
APA	Ding, Yanheng,&Lee, Cheng.(2009).Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system.JOURNAL OF DIFFERENTIAL EQUATIONS,246(7),2829-2848.
MLA	Ding, Yanheng,et al."Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system".JOURNAL OF DIFFERENTIAL EQUATIONS 246.7(2009):2829-2848.