Acta mathematica scientia,Series B

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

Dai Jinjun; Du Jinyuan   

  1. 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

Abstract:

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.

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

CLC Number: 

  • 45E05
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