Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik KRAUNC. Fiz.-Mat. Nauki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (460 kB) Citations (2)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/vkam535
  • https://www.mathnet.ru/eng/vkam/v39/i2/p20
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
    Statistics & downloads:
    Abstract page:49
    Full-text PDF :22
    References:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024