Acta mathematica scientia,Series B

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AN OPERATORIAL APPROACH TO SINGULAR INTEGRAL EQUATIONS 0F A MODIFIED TYPE

He Fuli; Du Jinyuan   

  1. 1.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China; 2.Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, China
  • Received:2006-09-01 Revised:2007-01-08 Online:2008-10-20 Published:2008-10-20
  • Contact: He Fuli

Abstract:

In this article, the authors discuss a kind of modified singular integral quations on a disjoint union of closed contours or a disjoint union of open arcs. The authors introduce some singular integral operators associated with this kind of singular integral equations, and obtain some useful properties for them. An operatorial approach is also given together with some illustrated examples.

Key words: Singular integral equations, singular integral operators, operatorial approach

CLC Number: 

  • 45E99
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