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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2022, Volume 39, Number 2, Pages 20–31
DOI: https://doi.org/10.26117/2079-6641-2022-39-2-20-31 (Mi vkam535) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

On the control problem associated with the heating process in the bounded domain

F. N. Dekhkonovab

a National University of Uzbekistan named after M. Ulugbek, Tashkent
b V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan
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DOI: https://doi.org/10.26117/2079-6641-2022-39-2-20-31
Abstract: The 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 $T(\theta)$ on the parameters of the temperature process when $\theta$ is close to critical value.
Keywords: heat conduction equation, admissible control, initial-boundary value problem, integral equation.
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
MSC: Primary 35K05; Secondary 35K15
Language: English
Citation: F. N. Dekhkonov, “On the control problem associated with the heating process in the bounded domain”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 39:2 (2022), 20–31
Citation in format AMSBIB
\Bibitem{Dek22}
\by F.~N.~Dekhkonov
\paper On the control problem associated with the heating process in the bounded domain
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2022
\vol 39
\issue 2
\pages 20--31
\mathnet{http://mi.mathnet.ru/vkam535}
\crossref{https://doi.org/10.26117/2079-6641-2022-39-2-20-31}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4529218}
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    • This publication is cited in the following 2 articles:
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