Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2013, Volume 5, Issue 1, Pages 63–68 (Mi vyurm50)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

A variant of the solution of Markushevich boundary problem

A. A. Patrushev, E. V. Patrusheva

South Ural State University
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Abstract: In the article an explicit method for the solution of Markushevich boundary value problem in the class of piecewise analytic functions is suggested. Boundary condition of the problem is given on the unit circle. The problem is found in a closed form under additional restriction on the coefficient b(t)b(t) of the problem.
Keywords: boundary problems for analytic functions, Riemann boundary problem, Hilbert bound­ary problem, Markushevich boundary problem.
Received: 18.12.2012
Document Type: Article
UDC: 517.544.8
Language: Russian
Citation: A. A. Patrushev, E. V. Patrusheva, “A variant of the solution of Markushevich boundary problem”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:1 (2013), 63–68
Citation in format AMSBIB
\Bibitem{PatPat13}
\by A.~A.~Patrushev, E.~V.~Patrusheva
\paper A variant of the solution of Markushevich boundary problem
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2013
\vol 5
\issue 1
\pages 63--68
\mathnet{http://mi.mathnet.ru/vyurm50}
Linking options:
  • https://www.mathnet.ru/eng/vyurm50
  • https://www.mathnet.ru/eng/vyurm/v5/i1/p63
    • This publication is cited in the following 1 articles:
    1. A. A. Patrushev, “Ob odnom sluchae resheniya v zamknutoi forme kraevoi zadachi Markushevicha dlya poluploskosti”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 6:2 (2014), 12–16  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :88
    References:66
     
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