Ordinary Differential Equations with Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Ordinary Differential Equations with Applications by Sze-Bi Hsu, World Scientific Publishing Company
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Author: Sze-Bi Hsu ISBN: 9789814452922
Publisher: World Scientific Publishing Company Publication: June 7, 2013
Imprint: WSPC Language: English
Author: Sze-Bi Hsu
ISBN: 9789814452922
Publisher: World Scientific Publishing Company
Publication: June 7, 2013
Imprint: WSPC
Language: English

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.

Contents:

  • Introduction
  • 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
  • Perturbation Methods
  • Introduction to Monotone Dynamical Systems

Readership: Graduate students in mathematics, applied mathematics, and engineering.
Key Features:

  • Comprehensively presents the theory of ordinary differential equations
  • Many examples from mathematical models in physics and biology are presented to help the readers to understand the content of the theory and the applications in real world
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Graduate students in mathematics, applied mathematics, and engineering.
Key Features:

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