Method of Averaging for Differential Equations on an Infinite Interval

Method of Averaging of the Infinite Interval: Theory and Applications provides a thorough understanding of this theory and its resulting applications. The first part of the book is devoted to the theory of averaging linear differential equations that have almost periodic coefficients. The second part focuses on nonlinear equations, addressing standard form systems as well as systems with a fast rotating phase. The book contains exercises to help with the study of applied problems. It also includes appendices with useful facts about almost periodic functions, stability theory, and functional analysis.

Averaging of Linear Differential Equations. Averaging Nonlinear System on Infinite Interval.