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	Quasi-periodic solutions of a semilinear Lienard equation at resonance
	Liu, B
	2005
关键词	quasi-periodic solutions semilinear Lienard equations boundedness of solutions reversible systems ASYMMETRIC NONLINEARITIES OSCILLATORS
英文摘要	We are concerned with the existence of quasi-periodic solutions for the following equation x" + F-x (x, t)x' + w(2)x + phi(x, t) = 0, where F and phi are smooth functions and 2 pi-periodic in t, w > 0 is a constant. Under some assumptions on the parities of F and phi, we show that the Dancer's function, which is used to study the existence of periodic solutions, also plays a role for the existence of quasi-periodic solutions and the Lagrangian stability (i.e. all solutions are bounded).; Mathematics, Applied; Mathematics; SCI(E); EI; 3; ARTICLE; 9; 1234-1244; 48
语种	英语
出处	EI ; SCI
出版者	science in china series a mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157931]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu, B. Quasi-periodic solutions of a semilinear Lienard equation at resonance. 2005-01-01.

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