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Boundary Control of the Heat Transfer Process in the Space

Z. FayazovaTashkent State Technical University named after I. Karimov, 2a Universitetskaya str., Tashkent, 100174, Republic of Uzbekistan
Russian Mathematicsjournal2019en
ABI

Abstract

We consider the simplest mathematical model of the following problem. On a part of the border of a region D ⊂ ℝ2 there is a heater having the adjustable temperature. It is required to find a mode of operation of the heater such 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.

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