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.