Abstract
In this paper, we consider a boundary control problem for a parabolic equation in a segment. In the part of the domain’s bound it is a given value of the solution and it is required to find controls to get the average value of the solution. The given control problem is reduced to a system of Volterra integral equations of the first kind. By the mathematical-physics methods it is proved that like this control functions exist over some domain, the necessary estimates were found and obtained.
Publisher
Karagandy University of the name of academician E.A. Buketov
Cited by
1 articles.
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1. Boundary control associated with a parabolic equation;Journal of Mathematics and Computer Science;2023-12-05