| 常系数线性微分方程组的求解公式 |
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| 引用本文： | 李建湘.常系数线性微分方程组的求解公式[J].邵阳高等专科学校学报,1998(4). |
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| 作者姓名： | 李建湘 |
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| 作者单位： | 邵阳高专教务处 422004 |
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| 摘 要： | 应用微分算子以及λ-矩阵的理论.给出了一般常系数线性微分方程组解存在的充要条件,并给出了求解公式及基础解系.从而完整地解决了该类方程组的求解问题。
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| 关 键 词： | 常系数线性微分方程组 小矩阵 微分算子 |
The Formvlae of The Solutions of Linear Ordinary Differential Eqvation Systems With Constant Coefficients |
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| Li Jianxiang.The Formvlae of The Solutions of Linear Ordinary Differential Eqvation Systems With Constant Coefficients[J].Journal of Shaoyang College,1998(4). |
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| Authors: | Li Jianxiang |
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| Institution: | Shaoyan college 422004 |
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| Abstract: | Nesessary and sufficient conditions for the exitance of the solutions of the
linear ordinary differential equation systems with constant coefficients are given by the
differential operator and the theorem of the ()-matrix. Then the formulae of the solutions and
basic set of solutions of these equation systems are given. Four examples are provided. |
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