| Asymptotic Methods for Ordinary Differential Equations Contributor(s): Kuzmina, R. P. (Author) |
|
 |
ISBN: 9048155002 ISBN-13: 9789048155002 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General |
| Dewey: 515.35 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.78" H x 6.14" W x 9.21" (1.16 lbs) 364 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |