SINGULAR INTEGRAL DIFFERENTIAL EQUATIONS WITH BOTH CAUCHY KERNEL AND CONVOLUTION KERNEL AND RIEMANN BOUNDARY VALUE PROBLEM

• 作者: Pingrun Li
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: RIEMANN边值问题 积分微分方程 CAUCHY核 卷积核 奇异 傅立叶变换 通用解 引理
• 年，卷（期）: 2014,（4）
• 页码范围: 407-415
• 页数: 9页
• 分类号: O175.8

摘要

In this paper, we set up and discuss a kind of singular integral differential equation with convolution kernel and Cauchy kernel. By Fourier transform and some lemmas,we turn this class of equations into Riemann boundary value problems, and obtain the general solution and the condition of solvability in class {0}.