Boundary control problem for the heat transfer equation associated with heating process of a rod
| dc.contributor.author | Dekhkonov, F.N. | |
| dc.date.accessioned | 2023-09-13T08:38:55Z | |
| dc.date.available | 2023-09-13T08:38:55Z | |
| dc.date.issued | 2023-06-30 | |
| dc.description.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. | ru_RU |
| dc.identifier.citation | Dekhkonov F.N. Boundary control problem for the heat transfer equation associated with heating process of a rod/F.N. Dekhkonov//Bulletin of the Karaganda University. Mathematics series. – 2023-№ 2(110). – pp.63-71. | ru_RU |
| dc.identifier.issn | 2663–5011 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/16796 | |
| 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.;№2(110) | |
| dc.subject | Heat conduction equation | ru_RU |
| dc.subject | system of integral equations | ru_RU |
| dc.subject | initial-boundary value problem | ru_RU |
| dc.subject | Laplace transform | ru_RU |
| dc.title | Boundary control problem for the heat transfer equation associated with heating process of a rod | ru_RU |
| dc.title.alternative | Сырықты қыздыру процесіне байланысты жылуды бөлу теңдеуінің шекаралық мәнін бақылау есебі | ru_RU |
| dc.title.alternative | Задача граничного управления для уравнения теплопереноса, связанного с процессом нагрева стержня | ru_RU |
| dc.type | Article | ru_RU |