Ordinary Differential Equations with Applications

Carmen Chicone (auth.)0387985352, 9780387985350, 9780387226231

This graduate-level textbook offers students a rapid introduction to the language of ordinary differential equations followed by a careful treatment of the central topics of the qualitative theory. In addition, special attention is given to the origins and applications of differential equations in physical science and engineering.. “Through its extensive use of examples, exercises, and real-world applications, this book provides science and engineering graduate students with a thorough introduction to the theory and application of ordinary differential equations.

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Table of contents :
Front Matter….Pages i-xv
Introduction to Ordinary Differential Equations….Pages 1-126
Linear Systems and Stability….Pages 127-197
Applications….Pages 199-282
Hyperbolic Theory….Pages 283-315
Continuation of Periodic Solutions….Pages 317-390
Homoclinic Orbits, Melnikov’s Method, and Chaos….Pages 391-450
Averaging….Pages 451-481
Local Bifurcation….Pages 483-529
Back Matter….Pages 531-561