Ordinary Differential Equations Introduction and Qualitative Theory, Third Edition |
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| Author:
| Cronin, Jane |
| Series title: | Chapman and Hall/CRC Pure and Applied Mathematics Ser. |
| ISBN: | 978-0-8247-2337-8 |
| Publication Date: | Dec 2007 |
| Publisher: | CRC Press LLC
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| Book Format: | Hardback |
| List Price: | USD $140.00 |
Book Description:
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Exploring the qualitative aspects of periodic solutions of ODEs, this edition extends the treatment of two-dimensional systems as well as periodic solutions in small parameter problems. It illustrates existence theorems with various examples, provides a detailed account of the Bendixson theory of solutions of two-dimensional autonomous systems, and presents a unified treatment of the perturbation problem for periodic solutions. The text also shows how topological degree is used to...
More DescriptionExploring the qualitative aspects of periodic solutions of ODEs, this edition extends the treatment of two-dimensional systems as well as periodic solutions in small parameter problems. It illustrates existence theorems with various examples, provides a detailed account of the Bendixson theory of solutions of two-dimensional autonomous systems, and presents a unified treatment of the perturbation problem for periodic solutions. The text also shows how topological degree is used to obtain significant extensions of perturbation theory and describes how the averaging method is used to study periodic solutions. It contains numerous exercises as well as a solutions manual for qualifying instructors.