Del 512 - Mathematics and Its Applications
Asymptotic Methods for Ordinary Differential Equations
Inbunden, Engelska, 2000
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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.
Produktinformation
- Utgivningsdatum2000-09-30
- Mått155 x 235 x 25 mm
- Vikt735 g
- SpråkEngelska
- SerieMathematics and Its Applications
- Antal sidor364
- Upplaga2000
- FörlagKluwer Academic Publishers
- EAN9780792364009