Method of Averaging for Differential Equations on an Infinite Interval: Theory and Applications, Vol. 255 Book

PREFACE

AVERAGING OF LINEAR DIFFERENTIAL EQUATIONS Periodic and Almost Periodic Functions. Brief Introduction Bounded Solutions Lemmas on Regularity and Stability Parametric Resonance in Linear Systems Higher Approximations. Shtokalo Method Linear Differential Equations with Fast and Slow Time Asymptotic Integration Singularly Perturbed Equations

AVERAGING OF NONLINEAR SYSTEMS Systems in Standard Form. First Approximation Systems in Standard Form. First Examples Pendulum Systems with an Oscillating Pivot Higher Approximations of the Method of Averaging Averaging and Stability Systems with a Rapidly Rotating Phase Systems with a Fast Phase. Resonant Periodic Oscillations Systems with Slowly Varying Parameters

APPENDICES Almost Periodic Functions Stability of the Solutions of Differential Equations Some Elementary Facts from the Functional Analysis

REFERENCES INDEX