Ordinary Differential Equations with Applications

Carmen Chicone - Collection Texts in Applied Mathematics

636 pages, parution le 01/06/2006 (2^eme édition)

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Résumé

Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.

Sommaire

Introduction to Ordinary Differential Equations
Linear Systems and Stability of Nonlinear Systems
Applications
Hyperbolic Theory
Continuation of Periodic Solutions
Homoclinic Orbits, Melnikov's Method, and Chaos
Averaging
Local Bifurcation
References

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Carmen Chicone
Collection	Texts in Applied Mathematics
Parution	01/06/2006
Édition	2^eme édition
Nb. de pages	636
Format	16 x 24
Couverture	Relié
Poids	1028g
Intérieur	Noir et Blanc
EAN13	9780387307695
ISBN13	978-0-387-30769-5