During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook and as a valuable resource for researchers.This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.
Ordinary Differential Equations With Applications
Written in a simple and accessible style, this book introduces the reader to dynamical systems in the spirit of nonlinear analysis and serves as both a textbook and an invaluable resource for researchers at the graduate level. This new version contains corrections and suggestions from various readers and users. A new chapter on monotonic dynamical systems has been added to consider new developments in ordinary differential equations and dynamical systems.
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