实轴上的特征奇异积分方程

数学物理学报 ›› 2010, Vol. 30 ›› Issue (2): 405-410.

实轴上的特征奇异积分方程

李卫峰¹, 杜金元²

1. 中国地质大学数学与物理学院|武汉 430074|2.武汉大学数学系|武汉 430072

收稿日期:2007-08-30 修回日期:2009-01-12 出版日期:2010-04-25 发布日期:2010-04-25
基金资助:
国家自然科学基金(10471107)、中国地质大学优秀青年教师资助计划(CUGQNL0828)资助.

Characteristic Singular Integral Equations on the Real Axis

LI Wei-Feng¹, DU Jin-Yuan²

1.School of Mathematics and Physics, China University of Geosciences, Wuhan 430074;
2.School of Mathematics and Statistics, Wuhan University, Wuhan 430072

Received:2007-08-30 Revised:2009-01-12 Online:2010-04-25 Published:2010-04-25
Supported by:
国家自然科学基金(10471107)、中国地质大学优秀青年教师资助计划(CUGQNL0828)资助.

摘要/Abstract

摘要：

该文首先得到了实轴上的特征奇异积分方程的可解性理论. 由此, 得到了实轴上解具一阶奇异性的特征奇异积分方程的可解性理论, 纠正了文献[8]中的错误.

关键词: 特征奇异积分方程, 解具一阶奇异性, 实轴

Abstract:

In this article, the authors get the solutions of characteristic singular integral equations on the real axis and the conditions of solvability. By this, they get the solutions of characteristic singular integral equations on the real axis having singularities of order one, which corrects the mistake in [8].

Key words: Characteristic singular integral equations, Solution having singularities of order one, Real axis

中图分类号:

45E05

李卫峰, 杜金元. 实轴上的特征奇异积分方程[J]. 数学物理学报, 2010, 30(2): 405-410.

LI Wei-Feng, DU Jin-Yuan. Characteristic Singular Integral Equations on the Real Axis[J]. Acta mathematica scientia,Series A, 2010, 30(2): 405-410.