Some methods for solving boundary value problems for polyharmonic equations
Sabirzhanov M.T. Koshanov B.D. Shynybayeva N.M. Kozhobekova P.Zh.
2025E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2025#117Issue 1143 - 154 pp.
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.
boundary value problem , continuity of solution , first order elliptic system , integral representations of solution , polyharmonic equation
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Osh State University, Osh, Kyrgyzstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Osh State University
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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