TY - JOUR
AU - O. V. Kapustyan
AU - O. M. Stanzhytskyi
AU - I. D. Fartushny
PY - 2022/08/09
Y2 - 2023/12/06
TI - Averaging method in the problem of optimal control for a perturbed parabolic equation
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 74
IS - 7
SE - Research articles
DO - 10.37863/umzh.v74i7.7016
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/7016
AB - UDC 517.9We 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.
ER -