| 高阶方程Cauchy问题解的稳定性 |
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| 引用本文： | 邵孝湟.高阶方程Cauchy问题解的稳定性[J].杭州师范学院学报(社会科学版),1993(3). |
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| 作者姓名： | 邵孝湟 |
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| 作者单位： | 杭州师范学院数学系 |
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| 摘 要： | 本文利用解对初值和参数的可微性,考虑高阶方程Cauchy问题非驻定解的稳定性,提出一种判别该非驻定解稳定与否的方法.
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| 关 键 词： | 稳定性 初值问题 非驻定解 扰动 |
THE STABILITY ON THE SOLUTION OF CAUCHY'S PROBLEM FOR NTH-ORDER EQUATIONS |
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| Shao Xiaohuang.THE STABILITY ON THE SOLUTION OF CAUCHY''''S PROBLEM FOR NTH-ORDER EQUATIONS[J].Journal of Hangzhou Teachers College(Humanities and Social Sciences),1993(3). |
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| Authors: | Shao Xiaohuang |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper, using the differentiability of the solution with respect to the initial value and the parameter, we consider the stability of the non-stationary solution of Cauchy's problem for nth-order equations and present a method which will determine the stability of the non-stationary solution when the non-stationary solutiou remains unknown. |
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| Keywords: | stability initial value problem non-stationary solution perturbation |
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