A note on complex combined boundary value problem for the nonhomogeneous tri-analytic equation
DOI:
https://doi.org/10.5269/bspm.62443Resumen
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.
Referencias
1. Begehr H. Boundary value problems in complex analysis I, II. Boletin de la Asosiación Matemática Venezolana. 2005;XII: 65-85, 217-250.
2. Begehr H, Kumar A. Boundary value problems for the inhomogeneous polyanalytic equation I. Analysis (Munich).2005;1:55-71.
3. Kumar A,Prakash R. Mixed boundary value problems for the inhomogeneous polyanalytic equation. Complex Variables and Elliptic Equations. 2006;51:209-223.
4. Karaca B. Dirichlet Problem for complex model partial differential equations.Complex Variables and Elliptic Equations. 2020; 65(10):1748-1762.
5. Vekua I.N. Generalized analytic functions. Pergamon Press,Oxford, 1962.
6. 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.
7. 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.
2. Begehr H, Kumar A. Boundary value problems for the inhomogeneous polyanalytic equation I. Analysis (Munich).2005;1:55-71.
3. Kumar A,Prakash R. Mixed boundary value problems for the inhomogeneous polyanalytic equation. Complex Variables and Elliptic Equations. 2006;51:209-223.
4. Karaca B. Dirichlet Problem for complex model partial differential equations.Complex Variables and Elliptic Equations. 2020; 65(10):1748-1762.
5. Vekua I.N. Generalized analytic functions. Pergamon Press,Oxford, 1962.
6. 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.
7. 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.
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Publicado
2024-05-28
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Research Articles
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