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Asymptotic Methods for Ordinary Differential Equations
| Content Provider | Springer-eBooks |
|---|---|
| Author | Kuzmina, R. P. |
| Copyright Year | 2000 |
| Abstract | 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. |
| File Format | |
| ISBN | 9789401593472 |
| Language | English |
| Publisher | SpringerLink Springer eBooks |
| Access Restriction | Subscribed |
| Subject Keyword | Mathematics Ordinary Differential Equations |
| Content Type | Text |
| Resource Type | Book |
