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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2022, Volume 22, Issue 3, Pages 307–314
DOI: https://doi.org/10.18500/1816-9791-2022-22-3-307-314
(Mi isu944)
 

Scientific Part
Mathematics

On a solution of a nondegenerate boundary value problem of Carleman type for quasiharmonic functions in circular domains

K. M. Rasulov, T. I. Mikhalyova

Smolensk State University, 4 Przhevalskogo St., Smolensk 214000, Russia
References:
Abstract: This paper considers a Carleman type boundary value problem for quasiharmonic functions. The boundary value problem is an informal model of a Carleman type differential problem for analytic functions of a complex variable.This paper presented a complex-analytical method for solving the problem under consideration in circular domains, which makes it possible to establish the instability of its solutions concerning small contour changes.
Key words: quasiharmonic function, differential boundary value problem of Carleman type, complex-analytical method, circular domain, instability of solutions.
Received: 22.03.2022
Accepted: 19.04.2022
Bibliographic databases:
Document Type: Article
UDC: 517.968.23
Language: Russian
Citation: K. M. Rasulov, T. I. Mikhalyova, “On a solution of a nondegenerate boundary value problem of Carleman type for quasiharmonic functions in circular domains”, Izv. Saratov Univ. Math. Mech. Inform., 22:3 (2022), 307–314
Citation in format AMSBIB
\Bibitem{RasMik22}
\by K.~M.~Rasulov, T.~I.~Mikhalyova
\paper On a solution of a nondegenerate boundary value problem of~Carleman type for quasiharmonic functions in circular domains
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2022
\vol 22
\issue 3
\pages 307--314
\mathnet{http://mi.mathnet.ru/isu944}
\crossref{https://doi.org/10.18500/1816-9791-2022-22-3-307-314}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4474734}
\edn{https://elibrary.ru/MXESPP}
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    Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
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