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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2022, Volume 39, Number 2, Pages 32–41
DOI: https://doi.org/10.26117/2079-6641-2022-39-2-32-41 (Mi vkam536) 		 
MATHEMATICS

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

O. Sh. Kilichova, A. N. Ubaydullaevb

a V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences
b Bukhara State University
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DOI: https://doi.org/10.26117/2079-6641-2022-39-2-32-41
Abstract: he initial-boundary problem for the heat conduction equation inside a bounded domain is considered. It is supposed that on the boundary of this domain the heat exchange takes place according to Newton's law. The control parameter is equal to the magnitude of output of hot air and is defined on a givenmpart of the boundary. Then we determined the dependence T(Θ) on the parameters of the temperature process when Θ is close to critical value.
Keywords: boundary value problem, Fourier method, the existence of a solution, the uniqueness of a solution.
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35J15
Language: English
Citation: O. Sh. Kilichov, A. N. Ubaydullaev, “On one boundary value problem for the fourth-order equation in partial derivatives”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 39:2 (2022), 32–41
Citation in format AMSBIB
\Bibitem{KilUba22}
\by O.~Sh.~Kilichov, A.~N.~Ubaydullaev
\paper On one boundary value problem for the fourth-order equation in partial derivatives
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2022
\vol 39
\issue 2
\pages 32--41
\mathnet{http://mi.mathnet.ru/vkam536}
\crossref{https://doi.org/10.26117/2079-6641-2022-39-2-32-41}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4484489}
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