@article{Kapustyan_Stanzhytskyi_Fartushny_2022, title={Averaging method in the problem of optimal control for a perturbed parabolic equation}, volume={74}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/7016}, DOI={10.37863/umzh.v74i7.7016}, abstractNote={<p>UDC 517.9</p> <p>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 corresponding problem with averaged coefficients.</p>}, number={7}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Kapustyan , O. V. and Stanzhytskyi , O. M. and Fartushny , I. D.}, year={2022}, month={Aug.}, pages={973 - 979} }