| 一类时滞Lienard方程的一致有界及全局渐近稳定 |
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| 引用本文： | 张晓声,阎卫平.一类时滞Lienard方程的一致有界及全局渐近稳定[J].数学的实践与认识,2000,30(4). |
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| 作者姓名： | 张晓声 阎卫平 |
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| 作者单位： | 1. 北京大学数学学院,北京,100871
2. 山西大学数学系,太原,030006 |
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| 摘 要： | 给出时滞 Lienard方程 x″+f( x) x′+ax′( t-τ) +g( x( t-τ) ) =0 ,a 0 ,一致有界及全局渐近稳定的充分条件 .讨论一阶导数项 ax′( t-τ)对方程有界性及渐近稳定性的影响 .
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| 关 键 词： | Lienard方程 时滞 有界 渐近稳定 |
Boundedness and Asymptotic Stability on Delay Lienard Equation |
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| ZHANG Xiao-sheng,YAN Wei-ping.Boundedness and Asymptotic Stability on Delay Lienard Equation[J].Mathematics in Practice and Theory,2000,30(4). |
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| Authors: | ZHANG Xiao-sheng YAN Wei-ping |
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| Abstract: | Sufficient conditions for boundedness and asymptotic stability of delay Lienard equation x″+f(x)x′+ax′(t-τ)+g(x(t-τ))=0, where a0 are given. By using the obtained results, the affection of the term ax′(t-τ) on the asymptotic stability of the equation is discussed. |
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| Keywords: | Lienard eqation delay boundedness asymptotic stabil? |
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