关于初值问题解的稳定性

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The Stability on the Solution of the Initial Value Problem

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.
- 稳定性 /
- 初值问题 /
- 可微性
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 Liapunov's direct method. will determine the stability of the non-stationary solution of the initial value problem when the non-stationary solution remains unknown.
- stability /
- initial value problem /
- differentiability

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