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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2021, Volume 37, Number 4, Pages 16–23
DOI: https://doi.org/10.26117/2079-6641-2021-37-4-16-23
(Mi vkam504)
 

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On a nonlocal boundary value problem for the equation fourth-order in partial derivatives

O. Sh. Kilichov

Institut of Mathematics named after V. I. Romanovskiy Academy of Sciences of the Republic Uzbekistan
Full-text PDF (239 kB) Citations (1)
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Abstract: In this article, we study a nonlocal problem for a fourth-order equation in which the existence and uniqueness of a solution to this problem is proved. The solution is constructed explicitly in the form of a Fourier series; the absolute and uniform convergence of the obtained series and the possibility of term-by-term differentiation of the solution with respect to all variables are substantiated. A criterion for the unique solvability of the stated boundary value problem is established.
Keywords: boundary value problem, Fourier method, existence and uniqueness of the solution.
Document Type: Article
UDC: 517.95
MSC: 35J15
Language: Russian
Citation: O. Sh. Kilichov, “On a nonlocal boundary value problem for the equation fourth-order in partial derivatives”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 37:4 (2021), 16–23
Citation in format AMSBIB
\Bibitem{Kil21}
\by O.~Sh.~Kilichov
\paper On a nonlocal boundary value problem for the equation fourth-order in partial derivatives
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 37
\issue 4
\pages 16--23
\mathnet{http://mi.mathnet.ru/vkam504}
\crossref{https://doi.org/10.26117/2079-6641-2021-37-4-16-23}
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  • This publication is cited in the following 1 articles:
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    Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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    References:26
     
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