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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 6(107), Pages 54–60 (Mi vsgu376)  
Mathematics

On the uniform convergence of the approximate solution of singular integro-differential equation of the first kind

A. V. Ozhegova, L. E. Hajrullina

Kazan (Volga Region) Federal University, Kazan, 420008, Russian Federation
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Abstract: The article presents the study of the boundary problem for singular integro-differential equation of the first kind with Cauchy kernel. The authors introduce the pair of weight spaces to prove the correctness of the stated problem. The article states the sufficient conditions for the convergence of the general direct method, the method of orthogonal polynomials, and as a result uniform estimates for errors of approximate solution.
Keywords: singular integro-differential equation, approximate solution, correctness of the problem.
Received: 11.04.2013
Revised: 26.06.2013
Document Type: Article
UDC: 519.642
Language: Russian
Citation: A. V. Ozhegova, L. E. Hajrullina, “On the uniform convergence of the approximate solution of singular integro-differential equation of the first kind”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 6(107), 54–60
Citation in format AMSBIB
\Bibitem{OzhHaj13}
\by A.~V.~Ozhegova, L.~E.~Hajrullina
\paper On the uniform convergence of the approximate solution of singular integro-differential equation of the first kind
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2013
\issue 6(107)
\pages 54--60
\mathnet{http://mi.mathnet.ru/vsgu376}
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