Some classes of equations of discrete type with harmonic singular operator and convolution

被引：41

作者：

Li, Pingrun ^{[1
,2
]}

Ren, Guangbin ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 284卷

关键词：

Equations of convolution type; Harmonic singular operator; Fourier transform; Clifford analysis;

D O I：

10.1016/j.amc.2016.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study four classes of discrete type equations with harmonic singular operator and convolution. Such equations are turned into boundary value problems for analytic function with discontinuous coefficients by discrete Fourier transform. The general solutions and the conditions of solvability are obtained in class h by our method. Thus, this paper generalizes the theory of classical equations of convolution type. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：185 / 194

页数：10

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