Verwandte Artikel zu Asymptotic Methods for Ordinary Differential Equations...

Asymptotic Methods for Ordinary Differential Equations (Mathematics and Its Applications, Band 512) - Softcover

Kuzmina, R.P. P.

 
9789048155002: Asymptotic Methods for Ordinary Differential Equations (Mathematics and Its Applications, Band 512)
Softcover
ISBN 10: 9048155002 ISBN 13: 9789048155002
Verlag: Springer, 2010

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
9048155002
ISBN 13 
9789048155002
Einband
Taschenbuch
Anzahl der Seiten
376
Kontakt zum Hersteller
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Deutschland