| 一类具有高阶奇性解的Hilbert核奇异积分方程 |
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| 引用本文： | 代晋军,杜金元.一类具有高阶奇性解的Hilbert核奇异积分方程[J].数学杂志,2006,26(4):355-360. |
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| 作者姓名： | 代晋军 杜金元 |
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| 作者单位： | 1. 武汉大学数学与统计学院,湖北,武汉,430072;华中师范大学数学与统计学学院,湖北,武汉,430079
2. 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(No.19971064) |
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| 摘 要： | 本文利用指数变换研究了一类解具高阶奇性的周期黎曼边值问题,通过转化法研究了一类解具有高阶奇性的Hilber核奇异积分方程,获得了相应的解和可解条件表达式.推广了Hilber核奇异积分方程的结果.
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| 关 键 词： | 奇异积分方程 Hilber核 高阶奇性解 |
| 文章编号： | 0255-7797（2006）04-0355-06 |
| 收稿时间： | 2004-11-02 |
| 修稿时间： | 2004-11-02 |
ON A CLASS OF SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL HAVING SOLUTIONS WITH SINGULARITY OF HIGH ORDER |
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| DAI Jin-jun,DU Jin-yuan.ON A CLASS OF SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL HAVING SOLUTIONS WITH SINGULARITY OF HIGH ORDER[J].Journal of Mathematics,2006,26(4):355-360. |
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| Authors: | DAI Jin-jun DU Jin-yuan |
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| Institution: | 1. School of Math. and Statistics, Wuhan University, Wuhan 430072, China;2. School of Math. and Statistics ,Central China Normal University ,Wuhan 430079 ,China |
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| Abstract: | In this paper,we discuss a class of Periodic Riemann boundary value problems which have solutions with high order singulary.The solutions and solvable conditions are given.Then on this base,the solutions and solvable conditions for a class of singular integral equations with Hilbert kernel which have solutions with the similar property are given.Thus we generalize the results about singular integral equations with Hilbert kernel. |
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| Keywords: | singular integral equation Hilbert kernel solutions with high order singularity |
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