Ordinary Differential Equations

Introduction and Qualitative Theory, Third Edition

AvJane Cronin

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PDF, Engelska, 2007

Del i serien Chapman & Hall/CRC Pure and Applied Mathematics

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Beskrivning

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

Produktinformation

Utgivningsdatum:2007-12-14
Språk:Engelska
Filformat:PDF
Kopieringsskydd:LCP
ISBN:9781420014938
Förlag:Taylor & Francis Inc
Upplaga:3
Serie:Chapman & Hall/CRC Pure and Applied Mathematics

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Recensioner i media

... 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

Innehållsförteckning

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.