Method of Averaging for Differential Equations on an Infinite Interval —— Theory and Applications

----- 在无限区间上求微分方程的平均法：理论和应用

ISBN: 9781138417496 出版年：2007 页码：357 Burd, Vladimir CRC Press

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