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Hardback version af Approaches To The Qualitative Theory Of Ordinary Differential Equations: Dynamical Systems And Nonlinear Oscillations af Tong-ren Ding

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

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  • Engelsk
  • 396 sider

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Beskrivelse

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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Harmoni Initial Value Problem Dynamical systems, Qualitative methods Difference methods Harmonic and Duffing equation Liapunov Stability Poincaré-Birkhoff Twist Theorem Poincaré-Birkhoff Twist Theorem