Monographs and textbooks in pure and applied mathematics
GENERAL NOTES
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Rev. of ed.: Differential equations. 2nd ed., rev. and expanded. c1994.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
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Includes bibliographical references (pages 369-376) and index.
CONTENTS NOTE
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1. Existence theorems -- 2. Linear systems -- 3. Autonomous systems -- 4. Stability -- 5. The Lyapunov second method -- 6. Periodic solutions -- 7. Perturbation theory : the Poincaré method -- 8. Perturbation theory : autonomous systems and bifurcation problems -- 9. Using the averaging method : an introduction.
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SUMMARY OR ABSTRACT
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... 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.
OTHER EDITION IN ANOTHER MEDIUM
Title
Ordinary Differential Equations : Introduction and Qualitative Theory, Third Edition.