Asymptotic Methods for Ordinary Differential Equations
Produktnummer:
1880fa9f21f21e4e0c8cce5d3fe491cb1a
| Autor: | Kuzmina, R.P. |
|---|---|
| Themengebiete: | Cauchy problem differential equation ordinary differential equation ordinary differential equations |
| Veröffentlichungsdatum: | 15.12.2010 |
| EAN: | 9789048155002 |
| Sprache: | Englisch |
| Seitenzahl: | 364 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Netherland |
Produktinformationen "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.
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