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Generalized convolution-type singular integral equations

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  • Li, Pingrun

Abstract

In this paper, we study one class of generalized convolution-type singular integral equations in class {0}. Such equations are turned into complete singular integral equations with nodal points and further turned into boundary value problems for analytic function with discontinuous coefficients by Fourier transforms. For such equations, we will propose one method different from classical one and obtain the general solutions and their conditions of solvability in class {0}. Thus, this paper generalizes the theory of classical equations of convolution type.

Suggested Citation

  • Li, Pingrun, 2017. "Generalized convolution-type singular integral equations," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 314-323.
    • Handle: RePEc:eee:apmaco:v:311:y:2017:i:c:p:314-323
    DOI: 10.1016/j.amc.2017.05.036
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    References listed on IDEAS

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    1. Mishra, Lakshmi Narayan & Sen, Mausumi, 2016. "On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 174-183.
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    Cited by:

    1. 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.
    2. Teng Ren & Helu Xiao & Zhongbao Zhou & Xinguang Zhang & Lining Xing & Zhongwei Wang & Yujun Cui, 2019. "The Iterative Scheme and the Convergence Analysis of Unique Solution for a Singular Fractional Differential Equation from the Eco-Economic Complex System’s Co-Evolution Process," Complexity, Hindawi, vol. 2019, pages 1-15, September.

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