A note on complex combined boundary value problem for the nonhomogeneous tri-analytic equation

Résumé

In this paper, a combination of boundary value problems for the nonhomogeneous analytic equations have been studied. The aim of this paper is to find a solution for the Schwarz-(Dirichlet-Neumann) problem and obtain its solvability conditions.

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Biographie de l'auteur

Bahriye Karaca, Izmir Bakircay University

Faculty of Engineering and Architecture

Références

Begehr H. Boundary value problems in complex analysis I, II. Boletin de la Asosiación Matemática Venezolana. 2005;XII: 65-85, 217-250.

Begehr H, Kumar A. Boundary value problems for the inhomogeneous polyanalytic equation I. Analysis (Munich).2005;1:55-71.

Kumar A,Prakash R. Mixed boundary value problems for the inhomogeneous polyanalytic equation. Complex Variables and Elliptic Equations. 2006;51:209-223.

Karaca B. Dirichlet Problem for complex model partial differential equations.Complex Variables and Elliptic Equations. 2020; 65(10):1748-1762.

Vekua I.N. Generalized analytic functions. Pergamon Press,Oxford, 1962.

Karaca B,Ashralyev A. A Note on the Dirichlet Problem for Model Complex Partial Differential Equations. International Conference on Analysis and Applied Mathematics, ICAAM 2016, Almaty, Kazakhstan. 1759 :020098-1-020098-5.

Karaca B. Schwarz-(Dirichlet-Neumann) Problem For The Nonhomogeneous Tri-Analytic Equation. Fifth International Conference of Mathematical Sciences, 23-27 June 2021 (ICMS 2021) Maltepe University, Istanbul, Turkey.

Publiée
2024-05-28
Rubrique
Articles