一类具有csc（τ-θ）核的卷积型奇异积分方程

doi:10.13371/j.cnki.chin.q.j.m.2014.04.017

数学季刊 ›› 2014, Vol. 29 ›› Issue (4): 620-626.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.017

一类具有csc（τ-θ）核的卷积型奇异积分方程

School of Mathematical Sciences, Qufu Normal University

收稿日期:2013-09-16 出版日期:2014-12-30 发布日期:2020-11-27
作者简介:LI Ping-run(1966-), male, native of Yanzhou, Shandong, an associate professor of Qufu Normal University, Ph.D., engages in the boundary value problem of analytic function and singular integral equation.
基金资助:
Supported by the Qufu Normal University Youth Fund(XJ201218)；

A Class of Singular Integral Equation of Convolution Type with csc（τ-θ）Kernel

School of Mathematical Sciences, Qufu Normal University

Received:2013-09-16 Online:2014-12-30 Published:2020-11-27
About author:LI Ping-run(1966-), male, native of Yanzhou, Shandong, an associate professor of Qufu Normal University, Ph.D., engages in the boundary value problem of analytic function and singular integral equation.
Supported by:
Supported by the Qufu Normal University Youth Fund(XJ201218)；

摘要/Abstract

摘要： In this paper, we propose and discuss a class of singular integral equation of convolution type with csc（τ- θ） kernel in class L₂[-π, π]. Using discrete Fourier transform and the lemma, this kind of equations is transformed to discrete system of equations, and then we obtain the solvable conditions and the explicit solutions in class L₂[-π, π].

关键词: singular integral equation, convolution type, csc（τ- θ）kernel

Abstract: In this paper, we propose and discuss a class of singular integral equation of convolution type with csc（τ- θ） kernel in class L₂[-π, π]. Using discrete Fourier transform and the lemma, this kind of equations is transformed to discrete system of equations, and then we obtain the solvable conditions and the explicit solutions in class L₂[-π, π].

Key words: singular integral equation, convolution type, csc（τ- θ） kernel

中图分类号:

O172.2

李平润. 一类具有csc（τ-θ）核的卷积型奇异积分方程[J]. 数学季刊, 2014, 29(4): 620-626.

LI Ping-run. A Class of Singular Integral Equation of Convolution Type with csc（τ-θ）Kernel[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(4): 620-626.

[1]	龚定东, 郭玉琴. 复双球垒域上一些奇异积分方程的直接求解 [J]. 数学季刊, 2014, 29(1): 39-44.
[2]	李平润. 某些类具有反射与平移移位的卷积型奇异积分方程的解法[J]. 数学季刊, 2014, 29(1): 107-115.

一类具有csc（τ-θ）核的卷积型奇异积分方程

A Class of Singular Integral Equation of Convolution Type with csc（τ-θ）Kernel

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 2

复双球垒域上一些奇异积分方程的直接求解

编辑推荐

Metrics

本文评价