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

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  • Li, Pingrun
  • Ren, Guangbin

Abstract

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.

Suggested Citation

  • Li, Pingrun & Ren, Guangbin, 2016. "Some classes of equations of discrete type with harmonic singular operator and convolution," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 185-194.
    • Handle: RePEc:eee:apmaco:v:284:y:2016:i:c:p:185-194
    DOI: 10.1016/j.amc.2016.03.004
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    Cited by:

    1. Liu, Shouqiang & Yu, Mengjing & Li, Miao & Xu, Qingzhen, 2019. "The research of virtual face based on Deep Convolutional Generative Adversarial Networks using TensorFlow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 667-680.
    2. Li, Pingrun, 2019. "Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions," Applied Mathematics and Computation, Elsevier, vol. 344, pages 116-127.

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