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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2020, Volume 31, Number 2, Pages 8–17
DOI: https://doi.org/10.26117/2079-6641-2020-31-2-8-17 (Mi vkam399) 		 
MATHEMATICS

On the unique solvability of a seminonlocal boundary value problem for the loaded Ñhaplygin equation in a rectangle

S. Z. Djamalovab, R. R. Ashurovb, M. A. Sultanovc, U. Sh. Ruzieva

a Branch of the Russian State University of Oil and Gas (NRU) named after I. M. Gubkin in Tashkent
b Institute of Mathematics named after V. I. Romanovskiy, Academy of Sciences of Uzbekistan
c International Kazakh-Turkish University named after Khoja Ahmed Yasawi
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DOI: https://doi.org/10.26117/2079-6641-2020-31-2-8-17
Abstract: In this work, under certain conditions on the coefficients of the loaded Chaplygin equation in a rectangle, the unique solvability of a seminonlocal boundary value problem in Sobolev space is proved.
Keywords: loaded Chaplygin equation, seminonlocal boundary-value problem, the correctness of the solution, methods of "e-regularization", Galerkin's and successive approximations.
Document Type: Article
UDC: 517.956.6
MSC: Primary 35M10; Secondary 35M20
Language: Russian
Citation: S. Z. Djamalov, R. R. Ashurov, M. A. Sultanov, U. Sh. Ruziev, “On the unique solvability of a seminonlocal boundary value problem for the loaded Ñhaplygin equation in a rectangle”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 31:2 (2020), 8–17
Citation in format AMSBIB
\Bibitem{DjaAshSul20}
\by S.~Z.~Djamalov, R.~R.~Ashurov, M.~A.~Sultanov, U.~Sh.~Ruziev
\paper On the unique solvability of a seminonlocal boundary value problem for the loaded Ñhaplygin equation in a rectangle
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2020
\vol 31
\issue 2
\pages 8--17
\mathnet{http://mi.mathnet.ru/vkam399}
\crossref{https://doi.org/10.26117/2079-6641-2020-31-2-8-17}
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