| 自共轭常微分方程边值问题与变分问题的等价性 |
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| 引用本文： | 夏必腊,王金山.自共轭常微分方程边值问题与变分问题的等价性[J].大学数学,2011,27(3):120-123. |
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| 作者姓名： | 夏必腊 王金山 |
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| 作者单位： | 解放军炮兵学院,数学教研室,合肥,230031 |
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| 摘 要： | 首先给出了自共轭常微分方程及其边值问题,进而证明了自共轭常微分方程边值问题等价于一个泛函变分的极值问题,最后指出了将自共轭常微分方程边值问题转换为等价的泛甬变分极值问题的好处.
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| 关 键 词： | 共轭 常微分方程 边值问题 变分 极值 等价 |
Variation Problemof Equivalence with Boundary Value Problem of Self Conjugate Ordinary Differential Equation |
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| XIA Bi-la,WANG Jin-shan.Variation Problemof Equivalence with Boundary Value Problem of Self Conjugate Ordinary Differential Equation[J].College Mathematics,2011,27(3):120-123. |
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| Authors: | XIA Bi-la WANG Jin-shan |
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| Institution: | XIA Bi-la,WANG Jin-shan(Teaching and Research Section of Math.,PLA Artillery Academy,Hefei 230031,China) |
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| Abstract: | This paper presents with boundary value problem of self conjugate ordinary differential Equation first,then proves that the Equation with boundary value problem and variation problem are equivalent,and finally gives the advantages of this kind of transformation. |
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| Keywords: | conjugate ordinary differential Equation boundary value problem variation extreme value equivalence |
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