| 具有高阶奇性解的Hilbert核奇异积分方程 |
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| 引用本文： | 代晋军,韩惠丽. 具有高阶奇性解的Hilbert核奇异积分方程[J]. 宁夏大学学报(自然科学版), 2007, 28(1): 5-9 |
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| 作者姓名： | 代晋军 韩惠丽 |
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| 作者单位： | 1. 华中师范大学,数学与统计学院,湖北,武汉,430072
2. 宁夏大学,数学计算机学院,宁夏,银川,750021 |
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| 基金项目： | 国家自然科学基金;宁夏大学校科研和教改项目;宁夏大学校科研和教改项目 |
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| 摘 要： | 首先讨论了具有高阶奇性解的周期Riemann边值问题，然后通过解周期Riemann边值问题研究了具有高阶奇性解的带Hilbert核的奇异积分方程，将已有的具一阶奇性解的带Hilbert核的奇异积分方程进行了推广。
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| 关 键 词： | 奇异积分方程 Hilbert核 高阶奇性解 |
| 文章编号： | 0253-2328（2007）01-0005-05 |
| 修稿时间： | 2006-04-20 |
Singular Integral Equation with Hilbert Kernel in Solution having Singularities of High Order |
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| Dai Jin-jun,Han Hui-li. Singular Integral Equation with Hilbert Kernel in Solution having Singularities of High Order[J]. Journal of Ningxia University(Natural Science Edition), 2007, 28(1): 5-9 |
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| Authors: | Dai Jin-jun Han Hui-li |
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| Affiliation: | 1. School of Mathematics and Statistics, Central China Normal University, Wuhan 430072, China; 2. School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China |
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| Abstract: | The periodic Riemann boundary value problem with high order singularity solutionis discussed firstly.The singular integral equation(SIE) with Hilbert kernel which has high order singularity solution is studied by solving the corresponding periodic Riemann boundary value problem,and then the problemof SIE with Hilbert kernel has one order singularity solutionis generalized. |
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| Keywords: | singular integral equation Hilbert kernel solution with singularity of high order |
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