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	Periodic solutions of second order non-autonomous singular dynamical systems
	Chu, Jifeng ; Torres, Pedro J. ; Zhang, Meirong
	2010-05-06 ; 2010-05-06
关键词	periodic solutions non-autonomous dynamical systems strong singularity weak singularity Leray-Schauder alternative principle Schauder's fixed point theorem BOUNDARY-VALUE-PROBLEMS DIFFERENTIAL-EQUATIONS HAMILTONIAN-SYSTEMS WEAK SINGULARITIES FORCES EXISTENCE MULTIPLICITY ORBITS Mathematics
中文摘要	In this paper, we establish two different existence results of positive periodic solutions for second order non-autonomous singular dynamical systems. The first one is based on a nonlinear alternative principle of Leray-Schauder and the result is applicable to the case of a strong singularity as well as the case of a weak singularity. The second one is based on Schauder's fixed point theorem and the result sheds some new light on problems with weak singularities and proves that in some situations weak singularities may help create periodic solutions. Recent results in the literature are generalized and significantly improved. (c) 2007 Elsevier Inc. All rights reserved.
语种	英语 ; 英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14103]
专题	清华大学
推荐引用方式 GB/T 7714	Chu, Jifeng,Torres, Pedro J.,Zhang, Meirong. Periodic solutions of second order non-autonomous singular dynamical systems[J],2010, 2010.
APA	Chu, Jifeng,Torres, Pedro J.,&Zhang, Meirong.(2010).Periodic solutions of second order non-autonomous singular dynamical systems..
MLA	Chu, Jifeng,et al."Periodic solutions of second order non-autonomous singular dynamical systems".(2010).

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