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

Kuzmina, R.P.

Hardcover

ISBN 10: 0792364007 ISBN 13: 9780792364009

Verlag: Springer, 2000

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2000
• Sprache: Englisch
• ISBN 10: 0792364007
• ISBN 13: 9780792364009
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 374
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Deutschland