Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Rasulov K. M., Mikhalyova T. I. On a solution of a nondegenerate boundary value problem of Carleman type for quasiharmonic functions in circular domains. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2022, vol. 22, iss. 3, pp. 307-314. DOI: 10.18500/1816-9791-2022-22-3-307-314

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
31.08.2022
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Language: 
Russian
Heading: 
Mathematics
Article type: 
Article
UDC: 
517.968.23
DOI: 
10.18500/1816-9791-2022-22-3-307-314
EDN: 
MXESPP

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

Autors: 
Rasulov Karim M., Smolensk State University
Mikhalyova Tatyana Igorevna, Smolensk State University
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
References: 
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  2. Rasulov K. M. On the uniqueness of the solution of the Dirichlet boundary value problem for queasiharmonic functions in a non-unit disk. Lobachevskii Journal of Mathematics, 2018, vol. 39, iss. 1, pp. 142—145. https://doi.org/10.1134/S1995080218010237
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  8. Begehr H. Complex Analytic Methods for Partial Differential Equations. Singapore, World Scientific Publishing, 1994. 273 p.
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Received: 
22.03.2022
Accepted: 
19.04.2022
Published: 
31.08.2022
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