Springer
Asymptotic Methods for Ordinary Differential Equations
Product Code:
9789048155002
ISBN13:
9789048155002
Condition:
New
$118.37
Asymptotic Methods for Ordinary Differential Equations
$118.37
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.
| Author: R. P. Kuzmina |
| Publisher: Springer |
| Publication Date: 40527 |
| Number of Pages: 364 pages |
| Binding: Mathematics |
| ISBN-10: 9048155002 |
| ISBN-13: 9789048155002 |
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