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R.P. Kuzmina:
Asymptotic Methods for Ordinary Differential Equations - nieuw boek

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… Meer...

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Asymptotic Methods for Ordinary Differential Equations - nieuw boek

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… Meer...

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Asymptotic Methods for Ordinary Differential Equations - pocketboek

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 … Meer...

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Asymptotic Methods for Ordinary Differential Equations

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.

Gedetalleerde informatie over het boek. - Asymptotic Methods for Ordinary Differential Equations


EAN (ISBN-13): 9789048155002
ISBN (ISBN-10): 9048155002
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag/Sci-Tech/Trade
376 Bladzijden
Gewicht: 0,567 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-10-16T01:07:24+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-09-30T10:35:26+02:00 (Amsterdam)
ISBN/EAN: 9789048155002

ISBN - alternatieve schrijfwijzen:
90-481-5500-2, 978-90-481-5500-2


Gegevens van de uitgever

Auteur: R.P. Kuzmina
Titel: Mathematics and Its Applications; Asymptotic Methods for Ordinary Differential Equations
Uitgeverij: Springer; Springer Netherland
364 Bladzijden
Verschijningsjaar: 2010-12-15
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,569 kg
Taal: Engels
149,79 € (DE)
153,99 € (AT)
165,50 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Cauchy problem; differential equation; ordinary differential equation; ordinary differential equations; B; Ordinary Differential Equations; Differential Equations; Mathematics and Statistics; BB

Preface. Part 1: The Quasiregular Cauchy Problem. 1. Solutions Expansions of the Quasiregular Cauchy Problem. 2. The Van der Pol Problem. Part 2: The Tikhonov 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. Part 3: The Double-Singular Cauchy Problem. 8. The Boundary Functions Method. 9. The Method of Two Parameters. Bibliography. Index.

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9789401593472 Asymptotic Methods for Ordinary Differential Equations (R.P. Kuzmina)


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