Ordinary Differential Equations - Introduction and Qualitative Theory, Third Edition

Zusatztext ? a classic treatment of many of the topics an instructor would want in such a course! with particular emphasis on those aspects of the qualitative theory that are important for applications to mathematical biology. ? A nice feature of this edition is an extended and unified treatment of the perturbation problem for periodic solutions. ? a solid graduate-level introduction to ordinary differential equations! especially for applications. ?-MAA Reviews! August 2010 Informationen zum Autor Cronin, Jane Klappentext 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 obtain significant extensions of perturbation theory and describes how the averaging method is used to study periodic solutions. It contains numerous exercises. Zusammenfassung Exploring the qualitative aspects of periodic solutions of ODEs, this title presents the treatment of two-dimensional systems as well as periodic solutions in small parameter problems. It illustrates theorems with various examples, and provides an account of the Bendixson theory of solutions of two-dimensional autonomous systems. Inhaltsverzeichnis Prefaces. Introduction. Existence Theorems. Linear Systems. Autonomous Systems. Stability. The Lyapunov Second Method. Periodic Solutions. Perturbation Theory: The Poincaré Method. Perturbation Theory: Autonomous Systems and Bifurcation Problems. Using the Averaging Method: An Introduction. Appendix. References. Index.

Détails du produit

• Auteurs: Jane Cronin, Jane (Highland Park Cronin, Cronin Jane, Cronin-Scanlon Cronin-Scanlon, Jane Cronin-Scanlon
• Collaboration: Zuhair Nashed (Editeur de la série), Earl Taft (Editeur de la série)
• Edition: Taylor & Francis Ltd.
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 14.12.2007
• EAN: 9780824723378
• ISBN: 978-0-8247-2337-8
• Pages: 408
• Dimensions: 159 mm x 241 mm x 25 mm
• Thèmes: Chapman & Hall/CRC Pure and Applied Mathematics; Chapman & Hall/CRC Pure and Applied Mathematics
• Catégories: Sciences naturelles, médecine, informatique, technique > Mathématiques > Général, dictionnaires; MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations