| 常微分方程组的广函解 |
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| 引用本文： | 安幼山,王志林.常微分方程组的广函解[J].兰州大学学报(自然科学版),1993,29(4):35-39. |
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| 作者姓名： | 安幼山 王志林 |
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| 作者单位： | 兰州大学数学系 兰州730000
(安幼山)，兰州师专数学系 兰州730070(王志林) |
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| 基金项目： | 国家自然科学基金，甘肃省自然科学基金 |
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| 摘 要： | 本文考虑一般形式的常微分方程组，给出了ｍ阶广函解存在的充分必要条件，证明了确定广函解的阶数的有用的公式，并举例说明了有关存在性的某些有趣的性质。
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| 关 键 词： | 常微分方程 广义函数解 存在性 |
Generalized-function Solutions of System of Ordinary Differential Equations |
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| An Youshan.Generalized-function Solutions of System of Ordinary Differential Equations[J].Journal of Lanzhou University(Natural Science),1993,29(4):35-39. |
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| Authors: | An Youshan |
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| Abstract: | In this paper the system of ordinary differential equations with a generaltorm is considered,Sufficient and necessary conditions are given for the cxistence ofgeneralized-function solutions of order m,and useful formulae are proved to determineorder numbers of generalized-function solutions,and,moreover,some interesting-properties on the existence are illustrated with examples. |
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| Keywords: | ordinary differential equations generalized function solution existence |
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