| 复常系数线性齐次微分方程组的解法 |
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| 引用本文： | 邓四清.复常系数线性齐次微分方程组的解法[J].湘南学院学报,1997(3). |
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| 作者姓名： | 邓四清 |
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| 作者单位： | 郴州师专数学系 讲师 |
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| 摘 要： | 本文给出了一种求复常系数线性齐次微分方程组: X~′=(A+iB)X (1)的标准基解矩阵的方法,得到了方程组(1)的通解公式。这里A,B均为n阶实常数矩阵。
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| 关 键 词： | 复常系数 线性齐次微分方程组 基解矩阵 通解公式 |
A Method to Solve Linear Homogeneous Differential Equation System with Complex Coefficients |
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| Deng Siqing.A Method to Solve Linear Homogeneous Differential Equation System with Complex Coefficients[J].Journal of Xiangnan University,1997(3). |
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| Authors: | Deng Siqing |
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| Abstract: | In this paper,We give a method to solve the standard basis matrix of linear homogeneous equation system with complex coefficients:
X' =(A + iB)X (1)Further,we obstain a general solution for equation system(1). Where A,B are n-order matrices with real constant. |
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| Keywords: | complex coeffieient linear homogeneous equation system basis matrix general solution |
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