| 关于初值问题解的稳定性 |
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| 引用本文： | 邵孝湟.关于初值问题解的稳定性[J].应用数学和力学,1991,12(10):935-941. |
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| 作者姓名： | 邵孝湟 |
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| 作者单位： | 杭州师范学院 |
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| 摘 要： | 本文利用解对初值和参数的可微性,提出一种不同于Liapunov直接法的方法,用它可以判定初值问题非驻定解的稳定性.而该非驻定解无需事先求出.
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| 关 键 词： | 稳定性 初值问题 可微性 |
The Stability on the Solution of the Initial Value Problem |
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| Shao Xiao-huang.The Stability on the Solution of the Initial Value Problem[J].Applied Mathematics and Mechanics,1991,12(10):935-941. |
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| Authors: | Shao Xiao-huang |
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| Abstract: | In this paper, using the differentiability of the solution with respect to the initial value and the parameter, we present a method which, different from Lia-punov's direct method, will determine the stability of the non-stationary solution of the initial value problem when the nonstationary solution remains unknown. |
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| Keywords: | stability initial value problem differentiability |
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