| 一类常微分方程边值问题的Green函数讨论 |
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| 引用本文： | 李君君.一类常微分方程边值问题的Green函数讨论[J].淮阴师范学院学报(自然科学版),2014(1):7-14. |
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| 作者姓名： | 李君君 |
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| 作者单位： | 南京财经大学应用数学学院,江苏南京210023 |
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| 摘 要： | 把常微分方程边值问题转化为积分方程,有个很重要的方法就是利用格林函数来求解.讨论了一类二阶线性常微分方程的边值问题,求出它在不同边值条件下的格林函数,从而给出这类方程格林函数的一般求解方法及其应用.
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| 关 键 词： | 边值问题 格林函数 常微分方程 |
The Green Function Problem for a Class of Ordinary Differential Equation Boundary Value |
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| LI Jun-jun.The Green Function Problem for a Class of Ordinary Differential Equation Boundary Value[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2014(1):7-14. |
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| Authors: | LI Jun-jun |
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| Institution: | LI Jun-jun ( School of Applied Mathematics, Nanjing University of Finances and Economics, Nanjing Jiangsu 210023, China) |
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| Abstract: | To transform the ordinary differential equation boundary value problem into integral equations , There is a very important method is solved by using the green＇s function .The boundary value problems of a kind of second order linear ordinary differential equations are discussed in this paper .The paper considers the Green’ s functions for it with some boundary conditions .Then it refers to the general method of calculating and some applications of the Green ’ s function . |
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| Keywords: | second order boundary value problem Green’ s function rdinary differential equation |
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