Sopronyuk T. Oscillations of Impulse Multifrequency Systems

The uniform estimations of oscillatory integrals and sums have been obtained. The exponental estimations of fundamental matrixes of linear multifrequency system with pulse influence have been established. We have investigated the stability of solutions of nonlinear multifrequency impulse systems. We have received the estimation of an error of the method of averaging on a piece and justified the averaging method on the half-axis and the whole axis for slow components of nonlinear pulse multifrequency systems. We have received the conditions of existence of integrated manifold for multifrequency nonlinear oscillatory systems with pulse influence.