| 常微分方程的广函解 |
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| 引用本文： | 李镛 安幼山. 常微分方程的广函解[J]. 兰州大学学报(自然科学版), 1991, 27(2): 19-23 |
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| 作者姓名： | 李镛 安幼山 |
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| 作者单位： | 连云港职业大学，兰州大学数学系 连云港，222001，兰州，730000 |
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| 摘 要： |
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| 关 键 词： | 常微分方程 广函数 增广矩阵 |
On Generalized-Function Solutions of Ordinary Differential Equations |
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| Li Yong Lianyungang Vacational University,Lianyungang, An Youshan. On Generalized-Function Solutions of Ordinary Differential Equations[J]. Journal of Lanzhou University(Natural Science), 1991, 27(2): 19-23 |
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| Authors: | Li Yong Lianyungang Vacational University Lianyungang An Youshan |
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| Affiliation: | Li Yong Lianyungang Vacational University,Lianyungang,222001 An Youshan Department of Mathematics,LanzhouUniversity,Lanzhou,730000 |
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| Abstract: | This paper deals with the existence of generalized-function solutionsfor the ordinary differential equations of the form sum from i=1 to n(a_i(t)x~((n-i))(t))=0.By deducing the question into an algebraic equations, it is put in theanalysis for ranks of a related matrix and its augmented matrix. Asufficient and necessary condition with a general form is given for theexistence of generalized-function solutions of m-order, and the ways aregiven to determine orders of generalized-function solutions. |
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| Keywords: | ordinary differential equation generalized-function solution augmented matrix |
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