On the time-optimal control problem for a heat equation
| dc.contributor.author | Dekhkonov, F.N. | |
| dc.date.accessioned | 2023-11-23T03:40:13Z | |
| dc.date.available | 2023-11-23T03:40:13Z | |
| dc.date.issued | 2023-09-30 | |
| dc.description.abstract | 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. | ru_RU |
| dc.identifier.citation | Dekhkonov F.N. On the time-optimal control problem for a heat equation/ F.N. Dekhkonov// Bulletin of the Karaganda University. Mathematics series . – 2023. – № 3(111). – pp. 29-39 | ru_RU |
| dc.identifier.issn | 2663-5011 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/17272 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Karagandy University of the name of acad. E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | Bulletin of the Karaganda University. «Mathematics» series;No. 3(111)/2023 | |
| dc.subject | heat equation | ru_RU |
| dc.subject | minimal time | ru_RU |
| dc.subject | admissible control | ru_RU |
| dc.subject | integral equation | ru_RU |
| dc.subject | initial-boundary value problem | ru_RU |
| dc.title | On the time-optimal control problem for a heat equation | ru_RU |
| dc.title.alternative | Жылутеңдеуi үшiн оңтайлы уақыт мәселесi туралы | ru_RU |
| dc.title.alternative | О задаче быстродействия для уравнения теплопроводности | ru_RU |
| dc.type | Article | ru_RU |