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 1, Pages 5–9 (Mi vyurm1)  
Mathematics

One case of the generalized three-element boundary problem on the line

V. M. Adukov, A. A. Patrushev

South Ural State University
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Abstract: In the article an explicit method for the solution of generalized three-element boundary value problem in the class of piecewise analytic functions is given. The boundary condition of the problem is given on the straight line. The problem is solved in a closed form under certain constraints on the coefficient $b(t)$ of the problem.
Keywords: boundary problems for analytic functions, Riemann matrix boundary problem, Markushevich boundary problem.
Received: 08.12.2013
Document Type: Article
UDC: 517.544.8
Language: Russian
Citation: V. M. Adukov, A. A. Patrushev, “One case of the generalized three-element boundary problem on the line”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 6:1 (2014), 5–9
Citation in format AMSBIB
\Bibitem{AduPat14}
\by V.~M.~Adukov, A.~A.~Patrushev
\paper One case of the generalized three-element boundary problem on the line
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2014
\vol 6
\issue 1
\pages 5--9
\mathnet{http://mi.mathnet.ru/vyurm1}
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