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A method for solving the Poincare boundary value problem for generalized harmonic functions in circular domains

Year: 2025

Type: article

Abstract: The paper considers a Poincare-type boundary value problem for a second-order elliptic differential equation that generates a class of generalized harmonic functions. It is established that in the case of circular domains the solution of the considered boundary value problem reduces to the solution of a Riemann-type differential boundary value problem in the classes of analytic functions of a complex variable. In addition, necessary and sufficient conditions for the solvability of the problem are obtained.

Source: Izvestiya of Saratov University Mathematics Mechanics Informatics

DOI: 10.18500/1816-9791-2025-25-1-46-52

Authors: K. M. Rasulov, T. R. Nagornaya

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408039607

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