| 广义泛函微分方程解的稳定性 |
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| 引用本文： | 李远清 刘永清. 广义泛函微分方程解的稳定性[J]. 应用数学学报, 1999, 22(1): 130-138 |
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| 作者姓名： | 李远清 刘永清 |
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| 作者单位： | 华南理工大学自动控制工程系!广州510641 |
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| 摘 要： | 本文首先给出广义泛函微分方程解的稳定性的概念，同时建立了有关稳定与不稳定的二个判据，然后作为例子，讨论二阶线性常系数广义微分差分程，得到了这类系统有关稳定与不稳定的若干结果，并发现了一些关于稳定性的分支或类似于分支的现象。
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| 关 键 词： | 广义 泛函微分方程 相容性条件 稳定性 解 |
STABILITY OF SOLUTIONS OF SINGULAR FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| LI YUANQING, LIU YONGQING. STABILITY OF SOLUTIONS OF SINGULAR FUNCTIONAL DIFFERENTIAL EQUATIONS[J]. Acta Mathematicae Applicatae Sinica, 1999, 22(1): 130-138 |
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| Authors: | LI YUANQING LIU YONGQING |
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| Abstract: | Firstly, definitions of Stability are stated for singular functional differential equa tions, and two theorems on stability and instability are proved. Then as an example, second constant coefficient linear singular differential difference equations are considered, some re sults of stability and instability are obtained, and some bifurcation phenomenon of stability are discovered. |
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| Keywords: | Singular functional differential equations delay consistency conditions stability bifurcation |
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