AVERAGING IN SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

CONTENTSIntroduction § 1. The method of averaging § 2. Some problems connected with the justification of the method of averaging § 3. Some applications to problems in the theory of oscillations § 4. Some calculations of higher approximations § 5. The calculation of the phase of the oscillations and of asymptotic approximations to the perturbed motion. The determination of periodic solutions of some self-excited systemsReferences