| 基于一类时滞不等式的时滞微分方程的渐近稳定性 |
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| 引用本文： | 王瑞莲,杨芳.基于一类时滞不等式的时滞微分方程的渐近稳定性[J].数学的实践与认识,2009,39(18). |
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| 作者姓名： | 王瑞莲 杨芳 |
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| 作者单位： | 内蒙古财经学院,统计与数学学院,内蒙古,呼和浩特,010051 |
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| 摘 要： | 利用Lyapunov的方法讨论了时滞微分方程x.(t)=f(t,x(t),x(t-τ(t)))的全局指数渐近稳定性和全局渐近稳定性.
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| 关 键 词： | 时滞不等式 时滞微分方程 渐近稳定 全局指数渐近稳定 |
The Asymptotic Stability of Differential Equations with Delay Based on Inequations with Delay |
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| WANG Rui-lian,YANG Fang.The Asymptotic Stability of Differential Equations with Delay Based on Inequations with Delay[J].Mathematics in Practice and Theory,2009,39(18). |
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| Authors: | WANG Rui-lian YANG Fang |
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| Abstract: | The author study the asymptotic stability of differential equations with delay by Lyapunov's function, and give some criteria of the asymptotic stability and globally exponential asymptotic stability. |
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| Keywords: | inequations with delay differential equations with delays asymptotic stability globally exponential asymptotic stability |
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