| Quasi-periodic solutions of a semilinear Li(?)nard equation at resonance |
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| 引用本文： | LIU Bin LMAM,School of Mathematical Sciences,Peking University,Beijing 100871,China. Quasi-periodic solutions of a semilinear Li(?)nard equation at resonance[J]. 中国科学A辑(英文版), 2005, 0(9) |
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| 作者姓名： | LIU Bin LMAM School of Mathematical Sciences Peking University Beijing 100871 China |
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| 作者单位： | LIU Bin LMAM，School of Mathematical Sciences，Peking University，Beijing 100871，China |
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| 摘 要： | We are concerned with the existence of quasi-periodic solutions for the follow- ing equation x″ F_x(x,t)x′ ω~2x φ(x,t)=0, where F and φare smooth functions and 2π-periodic in t,ω>0 is a constant.Under some assumptions on the parities of F and φ,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).
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| 关 键 词： | quasi-periodic solutions semilinear Liénard equations boundedness of solutions reversible systems |
Quasi-periodic solutions of a semilinear Li(?)nard equation at resonance |
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| LIU Bin LMAM,School of Mathematical Sciences,Peking University,Beijing ,China. Quasi-periodic solutions of a semilinear Li(?)nard equation at resonance[J]. Science in China(Mathematics), 2005, 0(9) |
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| Authors: | LIU Bin LMAM School of Mathematical Sciences Peking University Beijing China |
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| Affiliation: | LIU Bin LMAM,School of Mathematical Sciences,Peking University,Beijing 100871,China |
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