Cantitate/Preț
Produs

Method of Averaging for Differential Equations on an Infinite Interval: Theory and Applications: Lecture Notes in Pure and Applied Mathematics

Autor Vladimir Burd
en Limba Engleză Paperback – 19 mar 2007
In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have obtained many new results of these applications. Encompassing these novel aspects, Method of Averaging of the Infinite Interval: Theory and Applications rigorously explains the modern theory of the method of averaging and provides a solid understanding of the results obtained when applying this theory.

The book starts with the less complicated theory of averaging linear differential equations (LDEs), focusing on almost periodic functions. It describes stability theory and Shtokalo's method, and examines various applications, including parametric resonance and the construction of asymptotics. After establishing this foundation, the author goes on to explore nonlinear equations. He studies standard form systems in which the right-hand side of a system is proportional to a small parameter and proves theorems similar to Banfi's theorem. The final chapters are devoted to systems with a rapidly rotating phase.

Covering an important asymptotic method of differential equations, this book provides a thorough understanding of the method of averaging theory and its resulting applications.
Citește tot Restrânge

Din seria Lecture Notes in Pure and Applied Mathematics

Preț: 151500 lei

Preț vechi: 184756 lei
-18% Nou

Puncte Express: 2273

Preț estimativ în valută:
28997 30141$ 24020£

Carte tipărită la comandă

Livrare economică 04-18 februarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781584888741
ISBN-10: 1584888741
Pagini: 356
Ilustrații: 12 b/w images and 682 equations
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.5 kg
Ediția:New.
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Lecture Notes in Pure and Applied Mathematics


Public țintă

Professional

Cuprins

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

Recenzii

". . . 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
 

Descriere

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.