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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 12, Pages 82–90
DOI: https://doi.org/10.26907/0021-3446-2019-12-82-90 (Mi ivm9529) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Boundary control of the heat transfer process in the space

Z. K. Fayazova

Tashkent State Technical University named after I. Karimov, 2а Universitetskaya str., Tashkent, 100174 Republic of Uzbekistan
Full-text PDF (335 kB) Citations (9)
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DOI: https://doi.org/10.26907/0021-3446-2019-12-82-90
Abstract: We consider the simplest mathematical model of the following problem. On the part of the border of region $D\subset {\mathbb R}^{2}$ there is a heater having an adjustable temperature. It is required to find such a mode of operation of the heater so that the average temperature in a certain subregion of region $D$ takes the specified value. The existence of the control parameter proved under certain restrictions on the values of the function defined by the integral constraint.
Keywords: parabolic equation, boundary value problem, control problem, control parameter, first kind Volterra integral equation, Laplace transform.
Received: 29.05.2018
Revised: 26.03.2019
Accepted: 27.03.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 12, Pages 71–79
DOI: https://doi.org/10.3103/S1066369X19120089
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: Z. K. Fayazova, “Boundary control of the heat transfer process in the space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 12, 82–90; Russian Math. (Iz. VUZ), 63:12 (2019), 71–79
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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