Asymptotic Methods for Ordinary Differential Equations
(Sprache: Englisch)
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...
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Klappentext zu „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.
Inhaltsverzeichnis zu „Asymptotic Methods for Ordinary Differential Equations “
Preface. Part 1: The Quasiregular Cauchy Problem. 1. Solutions Expansions of the Quasiregular Cauchy Problem. 2. The Van der Pol Problem. Part 2: The Tikhonov Problem. 3. The Boundary Functions Method. 4. Proof of Theorems 28.1-28.4. 5. The Method of Two Parameters. 6. The Motion of a Gyroscope Mounted in Gimbals. 7. Supplement. Part 3: The Double-Singular Cauchy Problem. 8. The Boundary Functions Method. 9. The Method of Two Parameters. Bibliography. Index.
Bibliographische Angaben
- Autor: R. P. Kuzmina
- 2000, 2000, 364 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer Netherlands
- ISBN-10: 0792364007
- ISBN-13: 9780792364009
- Erscheinungsdatum: 30.09.2000
Sprache:
Englisch
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