A. B. Grigoryan, “A method of construction of the solution of singular integral equation with Cauchy kernel”, Proceedings of the YSU, Physical and Mathematical Sciences, 2007, no. 1, 3

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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2007, Issue 1, Pages 3–16 (Mi uzeru348)

Mathematics

A method of construction of the solution of singular integral equation with Cauchy kernel

A. B. Grigoryan

Chair of applied analysis YSU

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Abstract: Basing on the methods of the theory of boundary-value problems for analytic functions, the paper constructs generalized eigenfunctions of integral operator generating by Cauchy kernel in a finite interval. Further formulas for generalized integral Fourier transform by these eigenfunctions are obtained. Then the results are applied to construct solutions of singular integral equations with Cauchy kernel and constant coefficients.

Received: 18.11.2005
Revised: 02.10.2006

Document Type: Article

UDC: 519.6

Language: Russian

Citation: A. B. Grigoryan, “A method of construction of the solution of singular integral equation with Cauchy kernel”, Proceedings of the YSU, Physical and Mathematical Sciences, 2007, no. 1, 3–16

Citation in format AMSBIB

\Bibitem{Gri07}

\by A.~B.~Grigoryan

\paper A method of construction of the solution of singular integral equation with Cauchy kernel

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2007

\issue 1

\pages 3--16

\mathnet{http://mi.mathnet.ru/uzeru348}

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