ON THE METHOD OF SOLVING TWO KINDS OF CONVOLUTION SINGULAR INTEGRAL EQUATIONS WITH REFLECTION

• 作者: Pingrun Li
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: SINGULAR integral equation of CONVOLUTION type RIEMANN boundary value problem CAUCHY KERNEL REFLECTION translation shift
• 年，卷（期）: 2013,（2）
• 页码范围: 159-166
• 页数: 8页
• 分类号: O175.5

摘要

In this paper, two kinds of convolution integral equations with both Cauchy kernel and reflection are discussed. Using Fourier transformation theory they can be transformed into Riemann boundary value problems with both discontinuous coefficients and reflection. And we give a new method, by which the general solution and the condition of solvability are obtained respectively.