Boundary value problem for the four-dimensional Gellerstedt equation
Төрт өлшемдi Геллерстедт теңдеуi үшiн шеттiк есеп
Краевая задача для четырехмерного уравнения Геллерстедта
Berdyshev A.S. Ryskan A.R.
2021E.A.Buketov Karaganda State University Publish House
Bulletin of the Karaganda University. Mathematics Series
2021#104Issue 435 - 48 pp.
In this work, the solvability of the problem with Neumann and Dirichlet boundary conditions for the Gellerstedt equation in four variables was investigated. The energy integral method was used to prove the uniqueness of the solution to the problem. In addition to it, formulas for differentiation, autotransformation, and decomposition of hypergeometric functions were applied. The solution was obtained explicitly and expressed by Lauricella’s hypergeometric function.
boundary value problem with mixed conditions , fundamental solution , Gellerstedt equation
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Abai Kazakh National Pedagogical University, Almaty, Kazakhstan
Institute of Information and Computational Technologies, Almaty, Kazakhstan
Abai Kazakh National Pedagogical University
Institute of Information and Computational Technologies
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