| 用无限阶Toeplitz矩阵求常系数微分方程的级数解 |
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| 引用本文： | 李大林.用无限阶Toeplitz矩阵求常系数微分方程的级数解[J].大学数学,2007,23(3):100-103. |
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| 作者姓名： | 李大林 |
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| 作者单位： | 柳州职业技术学院,基础部,广西,柳州,545006 |
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| 摘 要： | 无限阶Toeplitz矩阵的属于0的特征向量可递推地求得,可表示常系数齐次微分方程的解.用它的逆可求得常系数非齐次微分方程的特解.
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| 关 键 词： | 微分算子 无限阶Toeplitz矩阵 特征向量 级数解 |
| 文章编号： | 1672-1454（2007）03-0100-04 |
| 修稿时间： | 2005-11-07 |
Series Solution of an Ordinary Differential Equation with Constant Coefficients by Infinite Teoplitz Matrix |
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| LI Da-lin.Series Solution of an Ordinary Differential Equation with Constant Coefficients by Infinite Teoplitz Matrix[J].College Mathematics,2007,23(3):100-103. |
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| Authors: | LI Da-lin |
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| Institution: | Dept. of Basic Courses, Liuzhou Vocational Institute of Technology, Liuzhou 545006, China |
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| Abstract: | The characteristic vectors belonging to λ=0 of an infinite Teoplitz matrix are got transitively.The solutions of a homogeneous ordinary differential equation with constant coefficients are expressed by them.A special solution of a non-homogeneous ordinary differential equation with constant coefficients is got by its inverse matrix. |
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| Keywords: | differential operator infinite Teoplitz matrix characteristic vector series solution |
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