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

ISBN: 9789048155002

ID: 978904815500

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. R.P. Kuzmina, Books, Asymptotic Methods for Ordinary Differential Equations Books, Springer-Verlag/Sci-Tech/Trade

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

ISBN: 9789048155002

ID: 10987220

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 Poincare 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. Asymptotic Methods for Ordinary Differential Equations Kuzmina, R. P., Springer

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Asymptotic Methods for Ordinary Differential Equations - Kuzmina, R. P.
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Kuzmina, R. P.:
Asymptotic Methods for Ordinary Differential Equations - pocketboek

2010, ISBN: 9048155002

gebonden uitgave, ID: A12091310

Softcover reprint of hardcover 1st ed. 2000 Kartoniert / Broschiert Mathematik, Cauchy Problem; differential equation; Ordinary Differential Equation, mit Schutzumschlag neu, [PU:Springer; Springer Netherland]

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

ISBN: 9789048155002

ID: 9789048155002

Asymptotic Methods for Ordinary Differential Equations Asymptotic-Methods-for-Ordinary-Differential-Equations~~R-P-Kuzmina Science>Mathematics>Mathematics Paperback, Springer Netherlands

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

2010, ISBN: 9789048155002

gebonden uitgave, ID: 14930032

Softcover reprint of hardcover 1st ed. 2000, Softcover, Buch, [PU: Springer]

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Bijzonderheden over het boek
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 GmbH
376 Bladzijden
Gewicht: 0,567 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 16.10.2011 01:07:24
Boek voor het laatst gevonden op 11.09.2018 22:37:37
ISBN/EAN: 9789048155002

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


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