| 用压缩映射原理证明常系数线性常微分方程组解的存在性与唯一性定理 |
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| 引用本文： | 张立全.用压缩映射原理证明常系数线性常微分方程组解的存在性与唯一性定理[J].江汉大学学报(人文科学版),1997(3). |
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| 作者姓名： | 张立全 |
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| 摘 要： | 为了证明高阶常系数线性常微分方程组解的存在性与唯一性定理，首先把它化为一阶常系数线性常微分方程组，又把一阶方程组化为积分方程组，再利用压缩映射原理，证明积分方程组有且只有一组解．
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| 关 键 词： | 解的存在性与唯一性 压缩映射原理 |
Proving the Resolution Existence and Uniquenss Theory of Linear Differential Equation with Constant Coefficient by Using Contraction Mapping Theory |
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| Zhang Liquan.Proving the Resolution Existence and Uniquenss Theory of Linear Differential Equation with Constant Coefficient by Using Contraction Mapping Theory[J].Journal of Wuhan Institute of Education,1997(3). |
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| Authors: | Zhang Liquan |
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| Institution: | Zhang Liquan |
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| Abstract: | To prove resolution existence and uniqueness theory of higher order linear differential equation with constant coefficient, it is first to change it into order linear differential equation group with constant coefficient, and secondly to change the order equation group into integral equation group, and then prove theory that integral equation group has only one group solution by using contraction mapping. |
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| Keywords: | resolution existence and uniqueness contraction mapping theory |
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