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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2014, Volume 6, Issue 2, Pages 12–16 (Mi vyurm14)  
Mathematics

One case of solution in a closed form of Markushevich boundary problem for semiplane

A. A. Patrushev

South Ural State University
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Abstract: In the article an explicit method for the solution of Markushevich boundary value problem directed by L. I. Chibrikova in the class of piecewise analytic functions is given. Boundary condition of the problem is given on the line. The problem is found in a closed form under certain constratints on the coefficient $b(t)$ of the problem.
Keywords: boundary problems for analytic functions, Riemann boundary problem, Hilbert boundary problem, Markushevich boundary problem.
Received: 08.12.2013
Document Type: Article
UDC: 517.544.8
Language: Russian
Citation: A. A. Patrushev, “One case of solution in a closed form of Markushevich boundary problem for semiplane”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 6:2 (2014), 12–16
Citation in format AMSBIB
\Bibitem{Pat14}
\by A.~A.~Patrushev
\paper One case of solution in a closed form of Markushevich boundary problem for semiplane
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2014
\vol 6
\issue 2
\pages 12--16
\mathnet{http://mi.mathnet.ru/vyurm14}
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