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, Tome 22 (2022) no. 3, pp. 307-314

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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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     author = {K. M. Rasulov and T. I. Mikhalyova},
     title = {On a solution of a nondegenerate boundary value problem {of~Carleman} type for quasiharmonic functions in circular domains},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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K. M. Rasulov; T. I. Mikhalyova. 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, Tome 22 (2022) no. 3, pp. 307-314. http://geodesic.mathdoc.fr/item/ISU_2022_22_3_a3/