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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 2, Pages 6–12
DOI: https://doi.org/10.18500/1816-9791-2009-9-2-6-12 (Mi isu38) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

About the solution of nondegenerate four-element boundary value problem of Karleman type for bianalytical functions in circle

N. N. Bogdanova, K. M. Rasulov

Smolensk State University
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DOI: https://doi.org/10.18500/1816-9791-2009-9-2-6-12
Abstract: The article is devoted to the investigation of four-element boundary value problem of Karleman type for sectionally bianalytical functions with discontinuity line $L=\{t:|t|=1\}$. A constructive method for solution of the problem concerned in a so called nondegenerate case was found. It is established that solution of the investigated problem consists of solution of two generalized and two usual scalar boundary value problems of Riemann for sectionally analytical functions with discontinuity line $L$.
Key words: four-element boundary value problem of Karleman, sectionally bianalytical functions, discontinuity line, scalar boundary value problem of Riemann for sectionally analytical functions.
Document Type: Article
UDC: 517.968.23
Language: Russian
Citation: N. N. Bogdanova, K. M. Rasulov, “About the solution of nondegenerate four-element boundary value problem of Karleman type for bianalytical functions in circle”, Izv. Saratov Univ. Math. Mech. Inform., 9:2 (2009), 6–12
Citation in format AMSBIB
\Bibitem{BogRas09}
\by N.~N.~Bogdanova, K.~M.~Rasulov
\paper About the solution of nondegenerate four-element boundary value problem of Karleman type for bianalytical functions in circle
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 2
\pages 6--12
\mathnet{http://mi.mathnet.ru/isu38}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-2-6-12}
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