Kravets V. I.
Application of the method of averaging to the problems of optimal control over functional-differential equations
Ukr. Mat. Zh. - 2018. - 70, № 2. - pp. 206-215
We study the application of the method of averaging to the problems of optimal control over functional-differential equations. The procedure of averaging allows us to replace the original problem with the problem of optimal control by a system of ordinary differential equations. It is proved that the optimal control over the averaged problem is almost optimal for the exact problem. The optimal control problems are investigated on finite and infinite horizons.
Ukr. Mat. Zh. - 2013. - 65, № 2. - pp. 226-235
We establish conditions for the oscillation of solutions of functional difference linear equations and discrete difference linear equations of the second order in the case where the corresponding solutions of their differential analogs are oscillating on a segment.
Ukr. Mat. Zh. - 1984. - 36, № 1. - pp. 115 - 118