Averaging in Stability Theory: A Study of Resonance Multi-Frequency Systems

Preface. 1. Averaging in One and Multifrequency Systems of Ordinary Differential Equations. 2. Generalization of Lyapunov's Second Method and Averaging in Stability Theory. 3. Investigation of the Stability of Systems of Ordinary Differential Equations with Quasi-Periodic Coefficients. 4. Investigation of Stability in Multi-Frequency Systems. 5. Investigation of Orbit Stability in the Three Body Problem of Celestial Mechanics Based on the Point Model and on the Model Allowing for Asymmetry in the Distribution of Planet Masses and for the Conservation of Angual Momentum. 6. Investigation of Stability with Account Taken of the Admissible Region of Motions. Investigation of the Stability of a Gyroscope with a No-Contact Suspension. 7. Averaging and Stability Investigation in Systems of Equations with Delay. 8. On Investigation of Stability in Parial Derivative Equations. 9. Investigation of Stability in Stable Systems under Small Random Disturbances. References.