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

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.

UDC: 517.433

Received: 19.12.2001
Revised: 14.01.2002

DOI: 10.4213/mzm306

 English version: Mathematical Notes, 2003, 74:5, 695–700

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