| 一类非线性微分方程组的临界稳定问题 |
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| 引用本文： | 毛成立. 一类非线性微分方程组的临界稳定问题[J]. 燕山大学学报, 1989, 13(1): 85-90 |
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| 作者姓名： | 毛成立 |
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| 作者单位： | 东北重型机械学院基础部 |
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| 摘 要： | 本文讨论了一类非线性微分方程组,当其一次近似组的特征方程以零为m重根时零解的稳定问题。给出了判断该系统零解稳定或不稳定的准则。
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| 关 键 词： | 临界情况 特征根 特征向量 稳定性 |
On the Stability of a Nonlinear System of N First-order Differential Equations in the Critical Case |
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| Mao Chengli. On the Stability of a Nonlinear System of N First-order Differential Equations in the Critical Case[J]. Journal of Yanshan University, 1989, 13(1): 85-90 |
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| Authors: | Mao Chengli |
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| Affiliation: | Mao Chengli |
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| Abstract: | This paper discusses the problem of thc stability of a nonlinear system of n first-order differential equations in the case that the characteristic equation of its first approximation has m-multiple zero roots,and arrives at criterions that can be respectively used to judge the trivial solution of the system stable or not. |
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| Keywords: | critical case characteristic root characteristic vector stability |
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