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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 2, Pages 9–20
DOI: https://doi.org/10.18500/1816-9791-2011-11-2-9-20 (Mi isu212) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Mathematics

On explicit and exact solutions of the Markushevich boundary problem for circle

V. M. Adukov, A. A. Patrushev

South Ural State University, Chelyabinsk
Full-text PDF (250 kB) Citations (9)
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DOI: https://doi.org/10.18500/1816-9791-2011-11-2-9-20
Abstract: In the article the Markushevich boundary problem on the circle is considered for the case when the first coefficient of the problem is an arbitrary function from the Hölder class and the second coefficient is the boundary value of a function that is meromorphic in the unit disk. An explicit method of solution of the given problem is proposed, the number of linearly independent solutions of the homogeneous problem and the number of solvability conditions are calculated, the general solution of the problem is found.
Key words: boundary problems for analytic functions, Markushevich boundary problem, Riemann matrix boundary problem.
Bibliographic databases:
Document Type: Article
UDC: 517.544.8
Language: Russian
Citation: V. M. Adukov, A. A. Patrushev, “On explicit and exact solutions of the Markushevich boundary problem for circle”, Izv. Saratov Univ. Math. Mech. Inform., 11:2 (2011), 9–20
Citation in format AMSBIB
\Bibitem{AduPat11}
\by V.~M.~Adukov, A.~A.~Patrushev
\paper On explicit and exact solutions of the Markushevich boundary problem for circle
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 2
\pages 9--20
\mathnet{http://mi.mathnet.ru/isu212}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-2-9-20}
\elib{https://elibrary.ru/item.asp?id=16350602}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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