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Application of the Fourier Transform to the Solution of Singular Integral Equations

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Abstract

A method for solving a certain system of singular integral equations with constant coefficients is proposed. It is based on a procedure for reducing singular equations to equations with continuous difference kernel; the solution of the latter is constructed by using the classical Fourier transform in the class of absolutely integrable functions. Explicit expressions for the solution of the singular integral equations under consideration are obtained.

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Authors and Affiliations

  1. Institute for Problems of Mechanics, Russian Academy of Sciences, Moscow

    I. A. Soldatenkov

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  1. I. A. Soldatenkov
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Soldatenkov, I.A. Application of the Fourier Transform to the Solution of Singular Integral Equations. Mathematical Notes 74, 695–700 (2003). https://doi.org/10.1023/B:MATN.0000009002.58658.53

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  • DOI: https://doi.org/10.1023/B:MATN.0000009002.58658.53

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