| 一类四阶变系数线性微分方程系数常数化定理及应用 |
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| 引用本文： | 史英英,;许真付,;孟庆江.一类四阶变系数线性微分方程系数常数化定理及应用[J].烟台师范学院学报(自然科学版),2009(2):112-114. |
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| 作者姓名： | 史英英 ;许真付 ;孟庆江 |
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| 作者单位： | [1]鲁东大学数学与信息学院,山东烟台264025; [2]烟台市建筑设计研究股份有限公司,山东烟台264001 |
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| 基金项目： | 鲁东大学创新团队建设项目（08-CXB005） |
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| 摘 要： | 给出了一类四阶变系数线性微分方程化为四阶常系数线性微分方程的定理，并在具体的例子中加以实现．
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| 关 键 词： | 线性微分方程 变系数 常系数 四阶 |
A Constant Coefficient Theorem of Fourth Order Linear Differential Equation with Variable Coefficients and its Application |
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| Institution: | SHI Ying-ying ,XU Zhen-fu , MENG Qing-jiang ( 1. School of Mathematics and Information, Ludong University, Yantai 264025, China; 2. Yantai Architecture Design Limited Corporation ,Yantai 264001 ,China ) |
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| Abstract: | The theorem that a kind of fourth order linear differential equation with variable coefficients can be changed into fourth order linear differential equations with constant coefficients is deduced. Then some examples are given. |
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| Keywords: | linear differential equation variable coefficients constant coefficients fourth order |
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