一类具有csc（τ-θ）核的卷积型奇异积分方程

李平润

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

数学季刊 >

2014 , Vol. 29 >Issue 4: 620 - 626

DOI: https://doi.org/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

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School of Mathematical Sciences, Qufu Normal University

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.

收稿日期: 2013-09-16

网络出版日期: 2020-11-27

基金资助

Supported by the Qufu Normal University Youth Fund(XJ201218)；

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

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School of Mathematical Sciences, Qufu Normal University

Received date: 2013-09-16

Online published: 2020-11-27

Supported by

Supported by the Qufu Normal University Youth Fund(XJ201218)；

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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

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

Abstract

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

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