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ISBN: 9789048155002

In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involvin… Plus…

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ISBN: 9789048155002

In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involvin… Plus…

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Asymptotic Methods for Ordinary Differential Equations - nouveau livre

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In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involvin… Plus…

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In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involvin… Plus…

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Asymptotic Methods for Ordinary Differential Equations - Livres de poche

ISBN: 9789048155002

Paperback, [PU: Springer], In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. This problem is a generalization of the regu … Plus…

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Asymptotic Methods for Ordinary Differential Equations by R.P. Kuzmina Paperback | Indigo Chapters

This book considers the Cauchy problem for a system of ordinary differential equations with a small parameter, filling in areas that have not been extensively covered in the existing literature. The well-known types of equations, such as the regularly perturbed Cauchy problem and the Tikhonov problem, are dealt with, but new ones are also treated, such as the quasiregular Cauchy problem, and the Cauchy problem with double singularity. For each type of problem, series are constructed which generalise the well-known series of Poincaré and Vasilyeva-Imanaliyev. It is shown that these series are asymptotic expansions of the solution, or converge to the solution on a segment, semiaxis or asymptotically large time intervals. Theorems are proved providing numerical estimates for the remainder term of the asymptotics, the time interval of the solution existence, and the small parameter values. Audience: This volume will be of interest to researchers and graduate students specialising in ordinary differential equations.

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EAN (ISBN-13): 9789048155002
ISBN (ISBN-10): 9048155002
Version reliée
Livre de poche
Date de parution: 2010
Editeur: R.P. Kuzmina
376 Pages
Poids: 0,567 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2011-10-16T01:07:24+02:00 (Zurich)
Page de détail modifiée en dernier sur 2023-01-23T17:19:19+01:00 (Zurich)
ISBN/EAN: 9789048155002

ISBN - Autres types d'écriture:
90-481-5500-2, 978-90-481-5500-2
Autres types d'écriture et termes associés:
Auteur du livre: kuzmin, poincare
Titre du livre: ordinary differential equations, something out the ordinary


Données de l'éditeur

Auteur: R.P. Kuzmina
Titre: Mathematics and Its Applications; Asymptotic Methods for Ordinary Differential Equations
Editeur: Springer; Springer Netherland
364 Pages
Date de parution: 2010-12-15
Dordrecht; NL
Imprimé / Fabriqué en
Langue: Anglais
109,99 € (DE)

BC; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Cauchy problem; differential equation; ordinary differential equation; ordinary differential equations; Differential Equations; BB

1. Solution Expansions of the Quasiregular Cauchy Problem.- 2. The van der Pol Problem.- 3. The Boundary Functions Method.- 4. Proof of Theorems 28.1–28.4.- 5. The Method of Two Parameters.- 6. The Motion of a Gyroscope Mounted in Gimbals.- 7. Supplement.- 8. The Boundary Functions Method.- 9. The Method of Two Parameters.

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