Averaging method in the problem of optimal control for a perturbed parabolic equation

UDC 517.9 We consider the optimal control problem formed by a parabolic nonlinear equation with rapidly oscillating coefficients, an additive control function, and coercive cost functional. It is proved that the optimal value of the perturbed problem is close to the optimal value for the correspondi...

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Bibliographic Details
Date:2022
Main Authors: Kapustyan , O. V., Stanzhytskyi , O. M., Fartushny , I. D., Капустян, О. В., Станжицький, О. М., Фартушний, I. Д.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2022
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7016
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal