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Scientific Object Identifier: http://s-o-i.org/1.1/TAS-04-84-122
DOI: https://dx.doi.org/10.15863/TAS.2020.04.84.122
Language: English
Citation: Dekhkonov, F. N. (2020). Optimal control problem associated with heat transfer process. ISJ Theoretical & Applied Science, 04 (84), 713-716. Soi: http://s-o-i.org/1.1/TAS-04-84-122 Doi: https://dx.doi.org/10.15863/TAS.2020.04.84.122 |
Pages: 713-716
Published: 30.04.2020
Abstract: In this work, we consider boundary control problem for heat exchange process. It is supposed that on the boundary of this domain the heat exchange according to Newton’s law takes place. In the part of the bound of the given region it is given value of the derivative of the solution with the respect to the normal and it is required to find admissible control to get average value of solution. By the mathematical method it is proved that like this control exist.
Key words: Heat conduction equation, admissible control, integral equation, smooth function, mathematical model, Laplace transform.
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