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

Some classes of equations of discrete type with harmonic singular operator and convolution
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DOI:
10.1016/j.amc.2016.03.004
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发表时间:
2016-07-05
影响因子:
4
通讯作者:
Ren, Guangbin
Ren, Guangbin
中科院分区:
数学2区
文献类型:
--
作者:
Li, Pingrun;Ren, Guangbin

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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.