DOAJ Open Access 2023

Boundary control problem for the heat transfer equation associated with heating process of a rod

F.N. Dekhkonov

Abstrak

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.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (1)

F.N. Dekhkonov

Format Sitasi

APA MLA BibTeX

Dekhkonov, F. (2023). Boundary control problem for the heat transfer equation associated with heating process of a rod. https://doi.org/10.31489/2023m2/63-71

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.31489/2023m2/63-71
Akses: Open Access ✓