SOME MATHEMATICAL PROBLEMS AND THEIR SOLUTIONS FOR THE OSCILLATING SYSTEMS WITH LIQUID DAMPERS: A REVIEW

Abstract

The mathematical problem of an oscillating system with liquid dampers is considered, such as finding the order of the fractional derivative of a subordinate term based on the given statistical data from practice, constructing. A solution of the corresponding system with nonseparated boundary conditions, is constructed including for large values of the head mass, finding asymptotic solutions on the first approximations, and constructing optimal regulators to stabilize the system around the corresponding program trajectories and controls.