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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
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
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
Linking options:
https://www.mathnet.ru/eng/isu944 https://www.mathnet.ru/eng/isu/v22/i3/p307
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Abstract page: | 98 | Full-text PDF : | 33 | References: | 25 |
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