Ordinary Differential Equations with Applications, 2/e (Hardcover)

Sze-Bi Hsu

  • 出版商: World Scientific Pub
  • 出版日期: 2013-08-21
  • 售價: $1,050
  • 貴賓價: 9.8$1,029
  • 語言: 英文
  • 頁數: 312
  • 裝訂: Hardcover
  • ISBN: 9814452904
  • ISBN-13: 9789814452908

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<內容簡介>

   

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.

 

<章節目錄>

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