| SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE |
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| 引用本文： | 代晋军 杜金元. SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE[J]. 数学物理学报(B辑英文版), 2006, 26(3): 410-414 |
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| 作者姓名： | 代晋军 杜金元 |
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| 作者单位： | School of Mathematics and Statistics Wuhan University Wuhan 430072，China Department of Mathematics and Statistics，Central China Normal University，Wuhan 430079，China，School of Mathematics and Statistics Wuhan University，Wuhan 430072，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (19971064) |
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| 摘 要： | In this article, periodic Riemann boundary value problem with period 2aπalong closed smooth contours is discussed, and then singular integral equation with kernel csc t-t0/a along closed smooth contours restricted in the strip 0< Rez
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| 关 键 词： | 余割内核 单积分方程 一阶奇点 周期Riemann边界值估计问题 |
| 收稿时间： | 2003-11-24 |
| 修稿时间： | 2004-12-13 |
SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE |
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| Dai Jinjun, Du Jinyuan. SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE[J]. Acta Mathematica Scientia, 2006, 26(3): 410-414 |
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| Authors: | Dai Jinjun Du Jinyuan |
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| Abstract: | In this article, periodic Riemann boundary value problem with period 2aπ along closed smooth contours is discussed, and thensingular integral equation with kernel csc t-t0/a along closed smooth contours restricted in the strip 0 ＜ Rez ＜ aπ is discussed.Finally, the solutions with singularities of order one for the above two problems are discussed. |
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| Keywords: | Cosecant kernel singular integral equation the singularities of order one |
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