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

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.

Keywords

• quasiharmonic function
• differential boundary value problem of carleman type
• complex-analytical method
• circular domain
• instability of solutions