Ordinary Differential Equations With Applications (2nd Edition)

Sze-Bi Hsu (Autor)

Buch | Hardcover

312 Seiten

2013 | 2nd Revised edition
World Scientific Publishing Co Pte Ltd (Verlag)
9789814452908 (ISBN)

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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.

Fundamental Theory; Linear Systems; Stability of Nonlinear Systems; Method of Lyapunov Functions; Two-Dimensional Systems; Second Order Linear Equations; The Index Theory and Brouwer Degree; Monotone Dynamical Systems; Introduction to Perturbation Methods.

Reihe/Serie	Series On Applied Mathematics ; 21
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-13	9789814452908 / 9789814452908
Zustand	Neuware