Periodic solutions for a class of non-autonomous Hamiltonian systems

doi:10.1016/j.na.2005.01.108

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	Periodic solutions for a class of non-autonomous Hamiltonian systems
	Luan, SX ; Mao, A
	2005-06-30
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	61 期号:8 页码:1413-1426
摘要	We consider the existence of nontrivial periodic solutions for a superlinear Hamiltonian system: (H) j u - A (t)u + &DEL; H(t, u)=0, u ε R-,(2N) t ε R. We prove an abstract result on the existence of a critical point for a real-valued functional on a Hilbert space via a new deformation theorem. Different from the works in the literature, the new deformation theorem is constructed under the Cerami-type condition instead of Palais-Smale-type condition. In addition, the main assumption here is weaker than the usual Ambrosetti-Rabinowitz-type condition: 0 < μ H(t, u) &LE; u &BULL; &DEL; H (t, u). &VERBAR; u&VERBAR; &GE; R > 0. This result extends theorems given by Li and Willem (J. Math. Anal. Appl. 189 (1995) 6-32) and Li and Szulkin (J. Differential Equations 112 (1994) 226-238). © 2005 Elsevier Ltd. All rights reserved.
关键词	Hamiltonian system periodic solutions Cerami condition local linking
DOI	10.1016/j.na.2005.01.108
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000229126000008
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/2307
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.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Qufu Normal Univ, Dept Math, Shandong 273165, Peoples R China
推荐引用方式 GB/T 7714	Luan, SX,Mao, A. Periodic solutions for a class of non-autonomous Hamiltonian systems[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2005,61(8):1413-1426.
APA	Luan, SX,&Mao, A.(2005).Periodic solutions for a class of non-autonomous Hamiltonian systems.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,61(8),1413-1426.
MLA	Luan, SX,et al."Periodic solutions for a class of non-autonomous Hamiltonian systems".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 61.8(2005):1413-1426.