| 有节点的曲线上带平方根的Riemann问题的讨论和求解 |
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| 引用本文： | 陈振华,郭定辉.有节点的曲线上带平方根的Riemann问题的讨论和求解[J].江西师范大学学报(自然科学版),2011,35(1):81-84. |
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| 作者姓名： | 陈振华 郭定辉 |
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| 作者单位： | 1. 北京工业大学耿丹学院,北京,101301
2. 北京航空航天大学理学院,北京,100080 |
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| 摘 要： | 给出了一类有节点的曲线上带平方根的Riemann边值问题,讨论了其中两种重要的情况:若干开口弧段上的带平方根的Riemann边值问题和无穷直线上带平方根的Riemann边值问题.通过对未知函数的结构分析,将它们化为一般的边值问题,进一步又可将其化为经典的Riemann边值问题,从而得到问题的解.
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| 关 键 词： | 带根号的Riemann边值问题 节点 开口弧段 |
Solving and Analysis of the Riemann Problem with the Square Root on the Node Curve |
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| CHEN Zhen-hua,GUO Ding-hui.Solving and Analysis of the Riemann Problem with the Square Root on the Node Curve[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2011,35(1):81-84. |
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| Authors: | CHEN Zhen-hua GUO Ding-hui |
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| Institution: | CHEN Zhen-hua1,GUO Ding-hui2(1.Geng Dan Institute,Beijing University of Technology,Beijing 101301,China,2.Institute of Science,Beijing University of Aeronautics and Astronautics,Beijing 100080,China) |
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| Abstract: | A kind of boundary value problem with square root on the node curve is given.The two important cases are discussed.One is the Riemann boundary value problem with square root on a number of opening arcs,the other the Riemann boundary value problem with square root on infinite straight line.Through analysis of the structure of unknown function,they will be translated into general boundary value problems,further into the classical Riemann boundary value problems.So the solution of the problems are gotten. |
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| Keywords: | Riemann boundary problem with square root node opening arc |
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