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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 10 scientific papers (total in 10 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 (10)
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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 10 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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