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Asymptotic Methods for Ordinary Differential Equations
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Asymptotic Methods for Ordinary Differential Equations - neues Buch

ISBN: 9780792364009

ID: 9780792364009

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 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. Textbooks New, Books~~Mathematics~~Differential Equations~~General, Asymptotic-Methods-for-Ordinary-Differential-Equations~~R-P-Kuzmina, , , , , , , , , , Springer Netherlands

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Asymptotic Methods For Ordinary Differential Equations
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Asymptotic Methods For Ordinary Differential Equations - neues Buch

ISBN: 9780792364009

ID: 6387281

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 involving the small parameter in the system. In Part 1 we study the quasiregular Cauchy problem. Th at is, a problem with the singularity included in a bounded function j, which depends on time and a small parameter. 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 involving the small parameter in the system. In Part 1 we study the quasiregular Cauchy problem. Th at is, a problem with the singularity included in a bounded function j, which depends on time and a small parameter. This problem is a generalization of the regu- larly perturbed Cauchy problem studied by Poincare [35]. Some differential equations which are solved by the averaging method can be reduced to a quasiregular Cauchy problem. As an example, in Chapter 2 we consider the van der Pol problem. In Part 2 we study the Tikhonov problem. This is, a Cauchy problem for a system of ordinary differential equations where the coefficients by the derivatives are integer degrees of a small parameter. Books, Science and Geography~~Mathematics~~Calculus & Mathematical Analysis, Asymptotic Methods For Ordinary Differential Equations~~Book~~9780792364009~~R.P. Kuzmina, , , , , , , , , ,, [PU: Kluwer Academic Publishers]

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Asymptotic Methods for Ordinary Differential Equations - Kuzmina, R. P.
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Asymptotic Methods for Ordinary Differential Equations - gebunden oder broschiert

2000

ISBN: 0792364007

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ID: 9780792364009

Internationaler Buchtitel. In englischer Sprache. Verlag: Springer-Verlag GmbH, HC runder Rücken kaschiert, 380 Seiten, L=235mm, B=155mm, H=25mm, Gew.=730gr, [GR: 16270 - HC/Mathematik/Analysis], Gebunden, Klappentext: 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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R. P. Kuzmina:
Asymptotic Methods for Ordinary Differential Equations - neues Buch

ISBN: 9780792364009

ID: a3c0a3666262447d7ad384f19988c82d

Asymptotic Methods for Ordinary Differential Equations 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 involving the small parameter in the system. In Part 1 we study the quasiregular Cauchy problem. Th at is, a problem with the singularity included in a bounded function j , which depends on time and a small parameter. This problem is a generalization of the regu­ larly perturbed Cauchy problem studied by Poincare [35]. Some differential equations which are solved by the averaging method can be reduced to a quasiregular Cauchy problem. As an example, in Chapter 2 we consider the van der Pol problem. In Part 2 we study the Tikhonov problem. This is, a Cauchy problem for a system of ordinary differential equations where the coefficients by the derivatives are integer degrees of a small parameter. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6400-9, Springer

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R.P. Kuzmina:
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2000, ISBN: 9780792364009

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Asymptotic Methods for Ordinary Differential Equations
Autor:

Kuzmina, R. P.

Titel:

Asymptotic Methods for Ordinary Differential Equations

ISBN-Nummer:

9780792364009

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.

Detailangaben zum Buch - Asymptotic Methods for Ordinary Differential Equations


EAN (ISBN-13): 9780792364009
ISBN (ISBN-10): 0792364007
Gebundene Ausgabe
Erscheinungsjahr: 2000
Herausgeber: Springer-Verlag GmbH
380 Seiten
Gewicht: 0,730 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 03.01.2008 08:23:33
Buch zuletzt gefunden am 23.09.2016 23:18:11
ISBN/EAN: 9780792364009

ISBN - alternative Schreibweisen:
0-7923-6400-7, 978-0-7923-6400-9

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