| 一阶线性椭圆型偏微分方程组的R-H-DH-D2H复合边值问题 |
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| 引用本文： | 田大增,孟俊霞,高红亚,李子植.一阶线性椭圆型偏微分方程组的R-H-DH-D2H复合边值问题[J].宁夏大学学报(自然科学版),2006,27(2):132-136. |
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| 作者姓名： | 田大增 孟俊霞 高红亚 李子植 |
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| 作者单位： | 1. 河北大学,物理科学与技术学院,河北,保定,071002
2. 河北大学,数学与计算机学院,河北,保定,071002 |
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| 基金项目： | 国家自然科学基金;河北省科技计划;河北大学校科研和教改项目 |
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| 摘 要： | 研究了一阶线性椭圆型偏微分方程组的边界条件中含有二阶偏导数的R-H-DH-D^2H复合边值问题，利用消去法将该问题化为等价的广义解析向量的Hilbert边值问题，并利用奇异积分方程组理论给出了问题的可解性条件．
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| 关 键 词： | 椭圆型方程组 R-H-DH-D2H复合边值问题 奇异积分方程组 广义解析向量函数 |
| 文章编号： | 0253-2328（2006）02-0132-05 |
| 收稿时间： | 2006-04-10 |
| 修稿时间： | 2006年4月10日 |
The R-H-DH-D2H Compound Boundary Value Problem for Elliptic Partial Differential Equation System of First Order |
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| Tian Dazeng,Meng Junxia,Gao Hongya,Li Zizhi.The R-H-DH-D2H Compound Boundary Value Problem for Elliptic Partial Differential Equation System of First Order[J].Journal of Ningxia University(Natural Science Edition),2006,27(2):132-136. |
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| Authors: | Tian Dazeng Meng Junxia Gao Hongya Li Zizhi |
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| Institution: | 1. School of Physics Science and Technology, Hebei University, Baoding 071002,China; 2. School of Mathematics and Computer Science, Hebei University , Baoding 071002,China |
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| Abstract: | The R-H-DH-D^2H compound boundary value problem for elliptic partial differential equation system of first order with the boundary condition including second order partial derivate is studied. This problem is solved by the method of elimination. It is changed into equivalent Hilbert boundary value problem for generalized analytic vector function. With the help of the theory singular integral equation system, solvable conditions are also given. |
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| Keywords: | elliptic equation system R-H-DH-D^2H compound boundary value problem singular integral equation system generalized analytic vector function |
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