Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of
Rezensionen / Stimmen
... 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
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Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Advanced undergraduate and graduate students in mathematics, engineering, physics, chemistry, or biology.
Editions-Typ
Illustrationen
48 s/w Abbildungen
48 b/w images
ISBN-13
978-1-4200-1493-8 (9781420014938)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Prefaces. Introduction. Existence Theorems. Linear Systems. Autonomous Systems. Stability. The Lyapunov Second Method. Periodic Solutions. Perturbation Theory: The Poincare Method. Perturbation Theory: Autonomous Systems and Bifurcation Problems. Using the Averaging Method: An Introduction. Appendix. References. Index.
