Boundary control problem for the heat transfer equation associated with heating process of a rod
| Autor: | F.N. Dekhkonov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Қарағанды университетінің хабаршысы. Математика сериясы, Vol 110, Iss 2, Pp 63-71 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2518-7929 2663-5011 |
| DOI: | 10.31489/2023M2/63-71 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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