Some methods for solving boundary value problems for polyharmonic equations

This article consists of three sections. In the first section the concept of Vekua space is introduced, where for elliptic systems of the first order, the theorem on the representation of the solution of a homogeneous equation and the theorem on the continuity of the solution of an inhomogeneous equation are valid. In the second section the Vekua method for solving boundary value problems for a polyharmonic equation is described. In the third section the Otelbaev method describes the correct boundary value problems for a polyharmonic equation in a multidimensional sphere.

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Publication Details

Journal
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Published
2025-03-28
DOI
https://doi.org/10.31489/2025m1/143-154
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

Some methods for solving boundary value problems for polyharmonic equations

B. D. Koshanov, M.T. Sabirzhanov, Nazym Shynybayeva, P.Zh. Kozhobekova
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Differential Equations and Boundary Problems
article

Some methods for solving boundary value problems for polyharmonic equations

B. D. Koshanov, M.T. Sabirzhanov, Nazym Shynybayeva, P.Zh. Kozhobekova
article en

Abstract

This article consists of three sections. In the first section the concept of Vekua space is introduced, where for elliptic systems of the first order, the theorem on the representation of the solution of a homogeneous equation and the theorem on the continuity of the solution of an inhomogeneous equation are valid. In the second section the Vekua method for solving boundary value problems for a polyharmonic equation is described. In the third section the Otelbaev method describes the correct boundary value problems for a polyharmonic equation in a multidimensional sphere.

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSVol. 117(1)
Osh State University (KG), Institute of Mathematics and Mathematical Modeling (KZ)
Openalex Percentile: Top 91%
Differential Equations and Boundary Problems
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