| 二阶变系数线性系统的稳定性 |
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| 引用本文： | 谢大来. 二阶变系数线性系统的稳定性[J]. 纯粹数学与应用数学, 1995, 11(1): 40-45 |
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| 作者姓名： | 谢大来 |
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| 作者单位： | 西北大学 |
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| 摘 要： | 本文研究变系数二阶线性微分方程组零解的稳定性。引入了时变方向场的概念，用定性方法建立了稳定及不稳定的定理。
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| 关 键 词： | 稳定性 线性 微分方程组 零解 变系数 线性系统 |
STABILITY OF SECOND ORDER LINEAR DIFFERENTIAL SYSTEMS WITH VARIABLE COEFFICIENTS |
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| Xie Dalai. STABILITY OF SECOND ORDER LINEAR DIFFERENTIAL SYSTEMS WITH VARIABLE COEFFICIENTS[J]. Pure and Applied Mathematics, 1995, 11(1): 40-45 |
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| Authors: | Xie Dalai |
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| Abstract: | In this paper, we discuss the stability of the equilibrium solutions of second order linear systems of differential equations with variable coefficients. We introduce the concept of time-variable directional field, and establish the stable and unstable theorems by the qualitative method. |
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| Keywords: | stability second order linear systems of differential equations time variable directional field qualitative method |
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