| 关于变系数线性方程的稳定性和不稳定性 |
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| 引用本文： | 肖淑贤. 关于变系数线性方程的稳定性和不稳定性[J]. 应用数学, 1997, 10(2): 8-13 |
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| 作者姓名： | 肖淑贤 |
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| 作者单位： | 华中理工大学数学系!武汉，430074 |
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| 摘 要： | 本文研究变系数线性方程零解稳定性。给出了不稳定的充要条件，同时给出了一类系统渐近稳定的充要条件，还给出了判别稳定性的较为简易的充分条件。
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| 关 键 词： | 线性方程组 稳定性 比较原理 常微分方程组 |
The Stability and Instability of Linear Equations with Time-varying Coefficients |
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| Xiao Shuxian. The Stability and Instability of Linear Equations with Time-varying Coefficients[J]. Mathematica Applicata, 1997, 10(2): 8-13 |
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| Authors: | Xiao Shuxian |
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| Abstract: | In this paper, the stability and instability of lineax equations with time-varying coefficicntsare studied. One of necessary and sufficient condition of the instability of linearequation is given. And the necessary and sufficient condition of asymptotic stabilityon a class of time-varying linear systems is given too. In addition, some simple sufficientconditions on the stability of linear systems. are given. |
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| Keywords: | Linear system Stability Comparison principle |
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