| n阶线性常系数微分方程初值问题的矩阵解法 |
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| 引用本文： | 曹玉平,王玉梅.n阶线性常系数微分方程初值问题的矩阵解法[J].连云港职业技术学院学报,2006,19(1):56-58. |
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| 作者姓名： | 曹玉平 王玉梅 |
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| 作者单位： | 1. 连云港职业技术学院基础部,江苏,连云港,222006
2. 江苏省句容市高级中学,江苏,句容,212400 |
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| 摘 要： | 借助矩阵指数函数和矩阵函数导数的概念,结合线性代数和微分方程的有关结论,给出了n阶线性常系数微分方程初值问题的矩阵解法。
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| 关 键 词： | 线性常系数微分方程 初值问题 矩阵解法 |
| 文章编号： | 1009-4318(2006)01-0056-03 |
| 收稿时间： | 11 28 2005 12:00AM |
| 修稿时间： | 2005年11月28 |
On Matrix Solution to Initial Value Problem of an N - th Order Linear Constant Coefficient Differential Equation |
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| CAO Yu-ping,WANG Yu-mei.On Matrix Solution to Initial Value Problem of an N - th Order Linear Constant Coefficient Differential Equation[J].Journal of Lianyungang Technical College,2006,19(1):56-58. |
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| Authors: | CAO Yu-ping WANG Yu-mei |
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| Institution: | 1. Lianyungang Technical College, Lianyungang 222006, China; 2.Jiangsu Jurong Senior High School, Jurong 212400, China |
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| Abstract: | Through concepts of the matrix exponential function and the matrix function differential coefficient in combination with relevant results of linear algebra and differential equation,the paper finds the matrix solution to initial value problem of an n-th order linear constant coefficient differential equation. |
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| Keywords: | linear constant coefficient differential equation initial value problem matrix solution |
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