On the time-optimal control problem for a heat equation

Autor:	F.N. Dekhkonov
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	heat equation minimal time admissible control integral equation initial-boundary value problem Analysis QA299.6-433 Analytic mechanics QA801-939 Probabilities. Mathematical statistics QA273-280
Zdroj:	Қарағанды университетінің хабаршысы. Математика сериясы, Vol 111, Iss 3 (2023)
Druh dokumentu:	article
ISSN:	2518-7929 2663-5011
DOI:	10.31489/2023m3/28-38
Popis:	In previous works, we have considered some control problems for parabolic type equations, namely, control problems for parabolic type equations were studied as boundary value problems of the first type, and the weight function was expanded into a Fourier series by sines. In this paper, we consider boundary control problem for a heat equation on the interval. In the part of the bound of the given domain it is given value of a solution and it is required to find a control to get the average value of the solution. By the mathematical-physics methods it is proved that like this control exists and the estimate of a minimal time for achieving the given average temperature over some domain is found.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f738aab3c4314516894cb49f4bb60cd1 Zobrazit plný text záznamu View record in DOAJ