| Helmholtz方程的中值定理 |
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| 引用本文： | 郑建军 樊承谋. Helmholtz方程的中值定理[J]. 力学季刊, 1994, 15(2): 80-83 |
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| 作者姓名： | 郑建军 樊承谋 |
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| 作者单位： | 哈尔滨建筑工程学院(郑建军)，哈尔滨建筑工程学院(樊承谋) |
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| 摘 要： | 本文提出并证明了二维和三维Ｈｅｌｍｈｏｌｔｚ方程的中值定理。令λ→０就得到二维和三维Ｌａｐｌａｃｅ方程的中值定理。
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| 关 键 词： | 中值定理 亥姆霍兹方程 弹性力学 |
ON THE MEAN VALUE THEOREM ON HELMHOLTZ EQUATION |
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| Zheng Jianjun Fan Chengmou. ON THE MEAN VALUE THEOREM ON HELMHOLTZ EQUATION[J]. Chinese Quarterly Mechanics, 1994, 15(2): 80-83 |
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| Authors: | Zheng Jianjun Fan Chengmou |
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| Affiliation: | Harbin Institute of Architectural and Civil Engineering |
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| Abstract: | In this paper, the mean value theorems of two-dimensional and three-dimensional Helmholtz equation are proved. In the proof of these equations, if we allow the parameter A approach zero, we can obtain the mean value theorems of two-dimensional and three-dimensional Laplace equation. |
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| Keywords: | Mean value theorems Helmholtz equations Laplace equations. |
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