数学物理学报(英文版)

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

贺福利; 杜金元   

  1. 武汉大学数学与统计学院, 武汉 430072
  • 收稿日期:2006-09-01 修回日期:2007-01-08 出版日期:2008-10-20 发布日期:2008-10-20
  • 通讯作者: 贺福利
  • 基金资助:

    Supported by NNSF of China (10471107) and RFDP of Higher Education (20060486001)

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

摘要:

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.

关键词: Singular integral equations, singular integral operators, operatorial approach

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

中图分类号: 

  • 45E99