The technique of averaging of differential operators is applied to optimal control problems for stochastic equations describing porous media, which are parabolic equations with rapidly oscillating coefficients. It is proved that the optimal controls, trajectories, and minimum values of the quality criteria for the original problem converge, in the corresponding metrics, to the optimal controls, trajectories, and quality criteria of the averaged problems.
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- ACS Style
- Stanzhytsʹkyy , O.M.; Lastivka, I.; Ryzhov, A. Optimal control of stochastic equations of porous environments. Bukovinian Mathematical Journal. 2026, 14 https://doi.org/https://doi.org/10.31861/bmj2026.02.02
- AMA Style
- Stanzhytsʹkyy OM, Lastivka I, Ryzhov A. Optimal control of stochastic equations of porous environments. Bukovinian Mathematical Journal. 2026; 14(2). https://doi.org/https://doi.org/10.31861/bmj2026.02.02
- Chicago/Turabian Style
- Oleksandr Mykolayovych Stanzhytsʹkyy , Ivan Lastivka, Anton Ryzhov. 2026. "Optimal control of stochastic equations of porous environments". Bukovinian Mathematical Journal. 14 no. 2. https://doi.org/https://doi.org/10.31861/bmj2026.02.02