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摘 要: In the paper, by applying the method of main integration, we show theboundedness of the quasi-periodic second order differential equation x′′+ax+?bx?+?(x) = p(t), where a ?= b are two positive constants and ?(s), p(t) are real analyticfunctions. Moreover, the p(t) is quasi-periodic coefficient, whose frequency vectorsare Diophantine. The results we obtained also imply that, under some conditions,the quasi-periodic oscillator has the Lagrange stability.
关键词:    boundedness,  quasi-periodic,  KAM  theorem
作 者 : Xing Xiu-mei
英文名 :
刊 名: 《数学研究通讯》
年,卷(期) : 2017 年 , 第 2 期
在线出版日期 :
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