Asymptotic Methods for Ordinary Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2000
|
| Schriftenreihe: | Mathematics and Its Applications
512 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| 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 |
| Beschreibung: | 1 Online-Ressource (X, 364 p) |
| ISBN: | 9789401593472 9789048155002 |
| DOI: | 10.1007/978-94-015-9347-2 |
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Datensatz im Suchindex
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| author | Kuzmina, R. P. |
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| discipline | Mathematik |
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| format | Electronic eBook |
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| id | DE-604.BV042424133 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401593472 9789048155002 |
| language | English |
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| spelling | Kuzmina, R. P. Verfasser aut Asymptotic Methods for Ordinary Differential Equations by R. P. Kuzmina Dordrecht Springer Netherlands 2000 1 Online-Ressource (X, 364 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 512 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 Mathematics Differential Equations Ordinary Differential Equations Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Asymptotische Methode (DE-588)4287476-2 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Asymptotische Methode (DE-588)4287476-2 s 1\p DE-604 https://doi.org/10.1007/978-94-015-9347-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kuzmina, R. P. Asymptotic Methods for Ordinary Differential Equations Mathematics Differential Equations Ordinary Differential Equations Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Asymptotische Methode (DE-588)4287476-2 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4287476-2 |
| title | Asymptotic Methods for Ordinary Differential Equations |
| title_auth | Asymptotic Methods for Ordinary Differential Equations |
| title_exact_search | Asymptotic Methods for Ordinary Differential Equations |
| title_full | Asymptotic Methods for Ordinary Differential Equations by R. P. Kuzmina |
| title_fullStr | Asymptotic Methods for Ordinary Differential Equations by R. P. Kuzmina |
| title_full_unstemmed | Asymptotic Methods for Ordinary Differential Equations by R. P. Kuzmina |
| title_short | Asymptotic Methods for Ordinary Differential Equations |
| title_sort | asymptotic methods for ordinary differential equations |
| topic | Mathematics Differential Equations Ordinary Differential Equations Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Asymptotische Methode (DE-588)4287476-2 gnd |
| topic_facet | Mathematics Differential Equations Ordinary Differential Equations Mathematik Gewöhnliche Differentialgleichung Asymptotische Methode |
| url | https://doi.org/10.1007/978-94-015-9347-2 |
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