| 一类常微分方程在奇点处解的符号算法 |
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| 引用本文： | 牛熠,王宏宁.一类常微分方程在奇点处解的符号算法[J].甘肃联合大学学报(自然科学版),1997(1). |
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| 作者姓名： | 牛熠 王宏宁 |
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| 作者单位： | :甘肃教育学院数学系，甘肃广播电视大学 兰州，730000，兰州，730000 |
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| 摘 要： | 借助于常微分方程(或微分算子)的牛顿多边形,本文给出了一类常微分方程在奇点处解的符号算法。此算法能使我们得到方程在奇点处的精确解。
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| 关 键 词： | 微分算子 奇点 解析解 牛顿多边形 符号算法 |
Symbolic Algorithm of Formal Solutions of Certain Ordinary Differential Equations at A Singular Point |
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| Niu Yi Wang Hongning.Symbolic Algorithm of Formal Solutions of Certain Ordinary Differential Equations at A Singular Point[J].Journal of Gansu Lianhe University :Natural Sciences,1997(1). |
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| Authors: | Niu Yi Wang Hongning |
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| Abstract: | We use the concept of Newton polygon of a linear ordinary differential equations to give a symbolic algorithm of formal solutions of linear homogeneous ordinary differential equations in a neighborhood of a singular point. By the algorithm,we can get an arbitrary Segment of the precise solutions of a differential equation at the singular point. |
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| Keywords: | differential operator singular point analytic solution Newton polygon Symbolic computation |
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