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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2019, Volume 4, Issue 1, Pages 33–41
DOI: https://doi.org/10.24411/2500-0101-2019-14103 (Mi chfmj124) 		 
Mathematics

On a generalization of the third boundary value problem for the Laplace equation

B. Kh. Turmetov

International Kazakh-Turkish University named after Kh. A. Yassawi, Turkestan, Kazakhstan
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DOI: https://doi.org/10.24411/2500-0101-2019-14103
Abstract: In this paper we consider the solvability of new classes of boundary value problems for the Laplace equation. The problems under investigation are a generalization of the classical third boundary value problem for the Laplace equation. Theorems on the existence and uniqueness of the solution of the problem are proved. Conditions for the solvability of the problem are found and integral representations of the solution are established.
Keywords: Laplace equation, third boundary value problem, boundary conditions with involution, existence of a solution, uniqueness.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05131268
Received: 17.07.2018
Revised: 25.10.2018
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: B. Kh. Turmetov, “On a generalization of the third boundary value problem for the Laplace equation”, Chelyab. Fiz.-Mat. Zh., 4:1 (2019), 33–41
Citation in format AMSBIB
\Bibitem{Tur19}
\by B.~Kh.~Turmetov
\paper On a generalization of the third boundary value problem for the Laplace equation
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2019
\vol 4
\issue 1
\pages 33--41
\mathnet{http://mi.mathnet.ru/chfmj124}
\crossref{https://doi.org/10.24411/2500-0101-2019-14103}
\elib{https://elibrary.ru/item.asp?id=37152101}
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