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.

Zusatztext ". . . a very readable book . . . clearly written book can be highly recommended to students with interests in ordinary differential equations. Non-experts and researchers in natural sciences will also find interesting methods that are useful in applications." - In EMS Newsletter! March 2008"Covering an important asymptotic method of differential equations! this book provides a thorough understanding of the method of averaging theory and its resulting applications." - in L'Enseignment Math! 2007 Informationen zum Autor Vladimir Burd Klappentext 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. Zusammenfassung Explains the modern theory of the method of averaging and provides an understanding of the results obtained when applying this theory. This book describes stability theory and Shtokalo's method, and examines various applications, including parametric resonance and the construction of asymptotics. It also explores nonlinear equations. Inhaltsverzeichnis Averaging of Linear Differential Equations. Averaging Nonlinear System on Infinite Interval.

Autorentext

Vladimir Burd

Zusammenfassung
Explains the modern theory of the method of averaging and provides an understanding of the results obtained when applying this theory. This book describes stability theory and Shtokalo's method, and examines various applications, including parametric resonance and the construction of asymptotics. It also explores nonlinear equations.

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