L. E. Hajrullina, G. Z. Habibullina, “Subdomains method for solution of a singular first kind integral equation with Cauchy kernel”, Vladikavkaz. Mat. Zh., 16:1 (2014), 50

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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 1, Pages 50–56 (Mi vmj495)

Subdomains method for solution of a singular first kind integral equation with Cauchy kernel

L. E. Hajrullina^a, G. Z. Habibullina^b

^a Kazan (Volga Region) Federal University, Kazan, Russia
^b Kazan (Volga Region) Federal University, Kazan, Russia

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Abstract: The method of subdomains solution of a singular integral equation of the first kind with Cauchy kernel is investigated. A pair of weight spaces, which are the narrowing of the space of continuous functions are introduced. The correctness of the equations on this pair of spaces is proved. Sufficient conditions for the convergence of the method of subdomains in the uniform metric are established.

Key words: singular integral equations, Cauchy kernel, method of subdomains.

Received: 07.03.2013

Document Type: Article

UDC: 519.642

Language: Russian

Citation: L. E. Hajrullina, G. Z. Habibullina, “Subdomains method for solution of a singular first kind integral equation with Cauchy kernel”, Vladikavkaz. Mat. Zh., 16:1 (2014), 50–56

Citation in format AMSBIB

\Bibitem{HajKha14}

\by L.~E.~Hajrullina, G.~Z.~Habibullina

\paper Subdomains method for solution of a~singular first kind integral equation with Cauchy kernel

\jour Vladikavkaz. Mat. Zh.

\yr 2014

\vol 16

\issue 1

\pages 50--56

\mathnet{http://mi.mathnet.ru/vmj495}

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https://www.mathnet.ru/eng/vmj/v16/i1/p50

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