SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE

In this article, periodic Riemann boundary value problem with period 2aπ along 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 〈 aπ is discussed. Finally, the solutions with singularities of...

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Bibliographic Details
Published in:Acta Mathematica Scientia 2006-07, Vol.26 (3), p.410-414
Main Author: 代晋军 杜金元
Format: Article
Language:English
Subjects:
一阶奇点
余割内核
单积分方程
周期Riemann边界值估计问题
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Summary:In this article, periodic Riemann boundary value problem with period 2aπ along 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 〈 aπ is discussed. Finally, the solutions with singularities of order one for the above two problems are discussed.
ISSN:0252-9602
1572-9087
1003-3998
DOI:10.1016/S0252-9602(06)60064-7