Approaches To The Qualitative Theory Of Ordinary Differential Equations: Dynamical Systems And Nonlinear Oscillations

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A01=Tong-ren Ding
Author_Tong-ren Ding
Category=PBKJ
Difference Methods
Duffing Equation
Dynamical Systems
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Harmonic and Subharmonic Oscillations
Initial Value Problem
Liapunov Stability
PoincarAfA(C) Index
PoincarAfA(C)-Birkhoff Twist Theorem
Poincare Index
Poincare-Birkhoff Twist Theorem
Poincaré Index
Poincaré-Birkhoff Twist Theorem
Qualitative Methods
Resonance Point

Product details

  • ISBN 9789812704689
  • Publication Date: 14 Aug 2007
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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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