ABOUT THEREOF OPTIMAL CONTROL PROBLEM FOR THE HEAT EQUATION WITH INTEGRAL BOUNDARY CONDITION
Authors:
Type:
Article
Pages:
from 337
to 339
Status:
Published
Received:
29.08.2014
Accepted:
10.10.2014
Published:
10.10.2014
Language:
Russian
Keywords:
optimal control, heat equation, correct the problem, the optimality condition
Abstract (English):
The questions of the correct setting of optimal control for the heat equation with integral boundary condition and found a necessary and sufficient condition for optimality.
The questions of the correct setting of optimal control for the heat equation with integral boundary condition and found a necessary and sufficient condition for optimality.
Keywords:
optimal control, heat equation, correct the problem, the optimality condition
optimal control, heat equation, correct the problem, the optimality condition
При изучении различных процессов теплопроводности, диффузии, фильтрации и т.д. возникают краевые задачи для уравнения теплопроводности с неклассическими краевыми условиями. Среди этих задач особое место занимают задачи с интегральными граничными условиями (см. например [1,2]).
1. Ionkin N.I. Reshenie odnoy kraevoy zadachi teorii teploprovodnosti s neklassicheskim kraevym usloviem. Differents. uravneniya, 1977. T.13. № 2. S. 294-304.
2. Danilkina O.Yu. Ob odnoy nelokal´noy zadache dlya uravneniya teploprovodnosti s integral´nym usloviem. Vestn. Samar. Gos. Tekhn. Un-ta. Ser. : Fiz.-mat. nauki. 2007. №1 (14). S. 5-9.
3. Ladyzhenskaya O.A. Kraevye zadachi matematicheskoy fiziki. M.: Nauka, 1973.
