| 一类四阶椭圆型微分方程边值问题的边界变分方程 |
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| 引用本文： | 叶晓宏,李炳杰.一类四阶椭圆型微分方程边值问题的边界变分方程[J].延安大学学报(自然科学版),2001,20(1):21-23,27. |
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| 作者姓名： | 叶晓宏 李炳杰 |
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| 作者单位： | 1. 延安大学,
2. 空军工程大学, |
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| 摘 要： | 对一类四阶椭圆型微分方程边值问题给出解的存在唯一性定理并对内、外统一的边界积分方程与边界变分方程，证明了引入Lagrange乘子法的边界变分方程解的存在唯一性．
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| 关 键 词： | 基本解 边界积分方程 边界变分方程 |
| 文章编号： | 1004-602X(2001)01-0021-03 |
A boundary variation
equation for boundary value problems of a kind of four order elliptic differential
equations |
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| YE Xiao-hong,LI Bing-jie.A boundary variation
equation for boundary value problems of a kind of four order elliptic differential
equations[J].Journal of Yan'an University(Natural Science Edition),2001,20(1):21-23,27. |
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| Authors: | YE Xiao-hong LI Bing-jie |
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| Institution: | YE Xiao-hong1,LI Bing-jie2 |
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| Abstract: | In this paper,a boundary value problem of a kind of four order elliptic differential equation is discussed by the Boundary Element Method. It is shown that the problems have one and only one solution.The boundary integral equation and boundary variation equation have been established,and the existence and uniqueness of the boundary variation equation are proved by using Lagrange multipliers defined in the boundary. |
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| Keywords: | fundamental solution boundary integral equation boundary varition equation |
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