Approaches to the Qualitative Theory of Ordinary Differential Equations: Dynamical Systems and Nonlinear Oscillations (Peking University Series in Mat

Approaches to the Qualitative Theory of Ordinary Differential Equations: Dynamical Systems and Nonlinear Oscillations (Peking University Series in Mat

By: Ding Tongren (author)Hardback

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Description

This book is an ideal text for advanced undergraduate students and graduate students with an interest in the qualitative theory of ordinary differential equations and dynamical systems. Elementary knowledge is emphasized by the detailed discussions on the fundamental theorems of the Cauchy problem, fixed-point theorems (especially the twist theorems), the principal idea of dynamical systems, the nonlinear oscillation of Duffing's equation, and some special analyses of particular differential equations. It also contains the latest research by the author as an integral part of the book.

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Contents

Cauchy Problem; Global Behavior of Solutions; Autonomous Differential Equations; Topological Dynamical Systems; Answers to Some Conjectures in the Literature; Fixed-Point Theorems; Periodic Oscillations of Duffing's Equations; Analysis of Some Special Differential Equations.

Product Details

  • publication date: 10/04/2007
  • ISBN13: 9789812704689
  • Format: Hardback
  • Number Of Pages: 396
  • ID: 9789812704689
  • weight: 572
  • ISBN10: 981270468X

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