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

Language: English

Published by Chapman And Hall/CRC, 2007

1584888741 / 9781584888741

Series: Book 33 of 142 - Lecture Notes in Pure and Applied Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

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Title
Method of Averaging for Differential Equations on an Infinite Interval : Theory and Applications
Author
Vladimir Burd
Publisher
Chapman And Hall/CRC
Publication year
2007
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1584888741
ISBN 13
9781584888741
Item weight
541 grams
Dimensions
234x156x19 mm
Series
Book 33 of 142: Lecture Notes in Pure and Applied Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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