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Hardcover - 9780792364009
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Beschreibung
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
| Verlag | Springer Netherland |
| Ersterscheinung | 15. Dezember 2010 |
| Maße | 24 cm x 16 cm |
| Gewicht | 569 Gramm |
| Format | Softcover |
| ISBN-13 | 9789048155002 |
| Seiten | 364 |
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