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

doi:10.1016/S0252-9602(06)60064-7

数学物理学报(英文版)

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

代晋军; 杜金元

武汉大学数学与统计学院, 武汉 430072

收稿日期:2003-11-24 修回日期:2004-12-13 出版日期:2006-07-20 发布日期:2006-07-20
通讯作者: 代晋军
基金资助:
Supported by the National Natural Science Foundation of
China (19971064).

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

Dai Jinjun; Du Jinyuan

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2003-11-24 Revised:2004-12-13 Online:2006-07-20 Published:2006-07-20
Contact: Dai Jinjun

摘要/Abstract

摘要：

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 0zis discussed. Finally, the solutions with singularities of order one for the above two problems are discussed.

关键词: Cosecant kernel, singular integral equation, the singularities of order one

Abstract:

Key words: Cosecant kernel, singular integral equation, the singularities of order one

中图分类号:

45E05

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(英文版), 2006, 26(3): 410-414.

Dai Jinjun; Du Jinyuan. SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE[J]. Acta mathematica scientia,Series B, 2006, 26(3): 410-414.

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

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

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