Periodic solutions of nonautonomous second order Hamiltonian systems

doi:10.1007/s10114-005-0532-6

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	Periodic solutions of nonautonomous second order Hamiltonian systems
	Luan, SX ; Mao, AM
	2005-08-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	21 期号:4 页码:685-690
摘要	In this paper, we develop the local linking theorem given by Li and Willem by replacing the Palais-Smale condition with a Cerami one, and apply it to the study of the existence of periodic solutions of the nonautonomous second order Hamiltonian systems (H) u + A(t)u + del V(t, u) = 0, u is an element of R-N, t is an element of R. We handle the case of superquadratic nonlinearities which differ from those used previously. Our results extend the theorems given by Li and Willem.
关键词	non-autonomous Hamiltonian systems periodic solutions local linking critical point theory variational method
DOI	10.1007/s10114-005-0532-6
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000231514000003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1277
专题	中国科学院数学与系统科学研究院
通讯作者	Luan, SX
作者单位	1.Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Luan, SX,Mao, AM. Periodic solutions of nonautonomous second order Hamiltonian systems[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2005,21(4):685-690.
APA	Luan, SX,&Mao, AM.(2005).Periodic solutions of nonautonomous second order Hamiltonian systems.ACTA MATHEMATICA SINICA-ENGLISH SERIES,21(4),685-690.
MLA	Luan, SX,et al."Periodic solutions of nonautonomous second order Hamiltonian systems".ACTA MATHEMATICA SINICA-ENGLISH SERIES 21.4(2005):685-690.