| 2阶线性非齐次常微分方程的格林函数法 |
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| 引用本文： | 田献珍,霍海峰.2阶线性非齐次常微分方程的格林函数法[J].吉首大学学报(自然科学版),2012,33(6):12-14. |
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| 作者姓名： | 田献珍 霍海峰 |
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| 作者单位： | （广西工学院鹿山学院基础教学部,广西 柳州 545006） |
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| 基金项目： | 广西省自然科学基金项目资助项目 |
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| 摘 要： | 研究了一类2阶非齐线性常微分方程两点边值问题,并给出方程在相同边界条件不同情况下的格林函数和解的唯一性.
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| 关 键 词： | 非齐线性常微分方程 两点边值问题 格林函数 解的唯一性 |
Green's Function for a Second-Order Non-Homogeneous Linear Ordinary Differenctial Equation |
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| TIAN Xian-Zhen,HUO Hai-Feng.Green's Function for a Second-Order Non-Homogeneous Linear Ordinary Differenctial Equation[J].Journal of Jishou University(Natural Science Edition),2012,33(6):12-14. |
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| Authors: | TIAN Xian-Zhen HUO Hai-Feng |
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| Institution: | (Basic Courses Department Lushan College,Guangxi University of Technology,Liuzhou 545616,Guangxi China) |
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| Abstract: | The Green’s functions for a second-order non-homogeneous linear ordinary differential equation is studied with the same boundary condition and different cases.The exact expressions of the unique solutions for the non-homogeneous linear boundary problems by the Green’s function are given. |
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| Keywords: | non-homogeneous linear ordinary differential equation two-point boundary value problem Green' s function~ unique solution |
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