Articles

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

  • Dai Jinjun ,
  • Du Jinyuan
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  • School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received date: 2003-11-24

  Revised date: 2004-12-13

  Online published: 2006-07-20

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(06)60064-7

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