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SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE
作者姓名:代晋军  杜金元
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
基金项目:Supported by the National Natural Science Foundation of China (19971064)
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
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
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.
Authors:Dai Jinjun  Du Jinyuan
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.
Keywords:Cosecant kernel  singular integral equation  the singularities of order one  
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