On the center of the generalized Lienard system

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	On the center of the generalized Lienard system
	Zhao, CD ; He, QM
	2002
发表期刊	CZECHOSLOVAK MATHEMATICAL JOURNAL
ISSN	0011-4642
卷号	52 期号:4 页码:817-832
摘要	In this paper, we discuss the conditions for a center for the generalized Lienard system (E)(1) dx/dt (=) phi (y) - F (x), dy/dt = -g(x), or (E)(2) dx/dt = phi (y), dy/dt = - f(x)h(y) - g(x), with f(x), g(x), phi(y), Psi(y), h(y): R --> R, F(x) = integral(0)(x) f (x) dx, and xg(x) > 0 for x not equal 0. By using a different technique, that is, by introducing auxiliary systems and using the differential inquality theorem, we are able to generalize and improve some results in [1], [2].
关键词	generalized Lienard system local center global center the differetial inequality theorem the first approximation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000181385400014
出版者	CZECHOSLOVAK MATHEMATICAL JOURNAL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17101
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, CD
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
推荐引用方式 GB/T 7714	Zhao, CD,He, QM. On the center of the generalized Lienard system[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL,2002,52(4):817-832.
APA	Zhao, CD,&He, QM.(2002).On the center of the generalized Lienard system.CZECHOSLOVAK MATHEMATICAL JOURNAL,52(4),817-832.
MLA	Zhao, CD,et al."On the center of the generalized Lienard system".CZECHOSLOVAK MATHEMATICAL JOURNAL 52.4(2002):817-832.