Lowering the order of gyroscopic systems

A method for introducing a small parameter into the equations of gyroscopic systems is proposed. It is shown that to solve the problem of the admissibility of simplifications into the equations of gyroscopic systems, one can use results from the investigation of differential equations with a small parameter for a higher derivative.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 3, pp. 381–389, March, 1991.