Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

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

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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

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

Rasulov Karim M., Smolensk State University
Mikhalyova Tatyana Igorevna, Smolensk State University

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.

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