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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 10, Pages 60–69
DOI: https://doi.org/10.26907/0021-3446-2023-10-60-69 (Mi ivm9941) 		 
On the solvability of a nonlocal problem for a Boussinesq-type differential equation

A. R. Khalmukhamedov, E. I. Kuchkorov

National University of Uzbekistan named after M. Ulugbek, 4 Universitetskaya str., Almazarsky district, Tashkent, 100174 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2023-10-60-69
Abstract: We study a nonlocal problem for a differential Boussinesq-type equations in a multidimensional domain. Conditions for the existence and uniqueness of the solution are established, and a spectral decomposition of the solution is obtained.
Keywords: nonlocal problem, spectral decomposition, Boussinesq type equations.
Received: 02.12.2022
Revised: 02.12.2022
Accepted: 29.03.2023
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. R. Khalmukhamedov, E. I. Kuchkorov, “On the solvability of a nonlocal problem for a Boussinesq-type differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 10, 60–69
Citation in format AMSBIB
\Bibitem{KhaKuc23}
\by A.~R.~Khalmukhamedov, E.~I.~Kuchkorov
\paper On the solvability of a nonlocal problem for a Boussinesq-type differential equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 10
\pages 60--69
\mathnet{http://mi.mathnet.ru/ivm9941}
\crossref{https://doi.org/10.26907/0021-3446-2023-10-60-69}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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