@article{Kapustyan_Rusina_2015, title={Approximate Synthesis of Distributed Bounded Control for a Parabolic Problem with Rapidly Oscillating Coefficients}, volume={67}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1988}, abstractNote={We study the problem of finding the optimal control in the form of feedback (synthesis) for a linear-quadratic problem in the form of a parabolic equation with rapidly oscillating coefficients and distributed control on the right-hand side (whose Fourier coefficients obey certain restrictions in the form of inequalities) and a quadratic quality criterion. We deduce the exact formula of synthesis and justify its approximate form corresponding to the replacement of rapidly oscillating coefficients by their averaged values.}, number={3}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Kapustyan, O. V. and Rusina, A. V.}, year={2015}, month={Mar.}, pages={355-365} }