Ogulenko O. Asymptotical methods in the study of dynamic systems on time scales

The dissertation is devoted to the research of dynamic systems on time scales both with and without control, including substantiation for such systems the possibility of using different averaging schemes, construction the averaging method for controlled systems on time scales, construction the algorithm of correspondence between controls of the original and averaged systems, and finally, substantiation the numerical-asymptotic method for the solution of the optimal control problem for dynamic system on time scale. Besides this, for one real-world process model, the asymptotic properties of the solutions were investigated