| 常系数线性微分方程组的一种新解法 |
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| 引用本文： | 解长利.常系数线性微分方程组的一种新解法[J].首都师范大学学报(自然科学版),1988(3). |
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| 作者姓名： | 解长利 |
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| 作者单位： | 北京师范学院数学系 |
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| 摘 要： | 本文给出常系数线性微分方程组一种新的求解方法。要点是;求出系数矩阵A的特征值所对应的广义特征向量链,将A化为若当标准型,并计算方程组的基解矩阵。
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| 关 键 词： | 矩阵指数 广义特征向量链 |
A New Way of Finding Solutions for Linear Systems of Ordinary Differential Equations with Constant Coefficients |
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| Xie Chanli.A New Way of Finding Solutions for Linear Systems of Ordinary Differential Equations with Constant Coefficients[J].Journal of Capital Normal University(Natural Science Edition),1988(3). |
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| Authors: | Xie Chanli |
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| Institution: | Department Of Mathematics |
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| Abstract: | This paper suggests a new way of finding solutions for linear systems of ordinary differential equations with constant coefficients. The point is to find the chains of generalized eigenvector associated with eigenvalues of the matrix of coefficients A, and to change A into Jordan canonical form. The fundamental matrix for the systems of differential equations can also be calculated. |
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| Keywords: | matrix exponential chain of generalized eigenvectors |
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