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Matematicheskie Zametki, 2003, Volume 74, Issue 5, Pages 739–744
DOI: https://doi.org/10.4213/mzm306 (Mi mzm306) 		 
Application of the Fourier Transform to the Solution of Singular Integral Equations

I. A. Soldatenkov

A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm306
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.
Received: 19.12.2001
Revised: 14.01.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 5, Pages 695–700
DOI: https://doi.org/10.1023/B:MATN.0000009002.58658.53
Bibliographic databases:
UDC: 517.433
Language: Russian
Citation: I. A. Soldatenkov, “Application of the Fourier Transform to the Solution of Singular Integral Equations”, Mat. Zametki, 74:5 (2003), 739–744; Math. Notes, 74:5 (2003), 695–700
Citation in format AMSBIB
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