数学物理学报 ›› 2004, Vol. 24 ›› Issue (3): 348-353.

• 论文 • 上一篇    下一篇

直线上带平移的奇异积分方程的解

 许永甲, 杜金元   

  1. 广东商学院统计学系;武汉大学数学系
  • 出版日期:2004-06-22 发布日期:2004-06-22

The Solution of Singular Integral Equations with a Translation on the Line

 HU Yong-Jia, DU Jin-Yuan   

  • Online:2004-06-22 Published:2004-06-22

摘要:

该文讨论了直线上带实平移或复平移的奇异积分方程的解,获得了方程的可解条件,证明了方程解的唯一性,给出了方程有解的情况下解的积分或级数表达式。

关键词: 奇异积分方程, 平移, 乘子, 唯一性

Abstract:

The paper discusses the solution of singular integral equations with a real or complex translation on the real axis. The uniqueness of the solution isobtained and the solvable conditions are given.

Key words: Singular integral equation, Translation, Multiplier, Unquenese.