Periodic solutions of an infinite dimensional Hamiltonian system

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	Periodic solutions of an infinite dimensional Hamiltonian system
	Ding, YH ; Lee, C
	2005
发表期刊	ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN	0035-7596
卷号	35 期号:6 页码:1881-1908
摘要	We establish existence and multiplicity of periodic solutions to the infinite dimensional Hamiltonian system GRAPHICS where Omega subset of R-N is a bounded domain or Omega = RN. When Omega is bounded, we treat the situations where H(t, x, z) is, with respect to z = (u, v), sub- or superquadratic, or concave and convex, and discuss also the convergence to homoclinics of sequences of subharmonic orbits. If Omega = R-N, we handle the case of superquadratic nonlinearities.
关键词	infinite-dimensional Hamiltonian system periodic solutions variational method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000236524400004
出版者	ROCKY MT MATH CONSORTIUM
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1984
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, YH
作者单位	1.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China 2.Natl Changhua Univ Educ, Dept Math, Changhua, Taiwan
推荐引用方式 GB/T 7714	Ding, YH,Lee, C. Periodic solutions of an infinite dimensional Hamiltonian system[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS,2005,35(6):1881-1908.
APA	Ding, YH,&Lee, C.(2005).Periodic solutions of an infinite dimensional Hamiltonian system.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS,35(6),1881-1908.
MLA	Ding, YH,et al."Periodic solutions of an infinite dimensional Hamiltonian system".ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 35.6(2005):1881-1908.