Transcription of Ordinary Differential Equations and Dynamical Systems
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Ordinary Differential Equations and Dynamical Systems
Ordinary Differential Equations and Dynamical Systems Gerald Teschl This is a preliminary version of the book Ordinary Differential Equations and Dynamical Systems published by the American Mathematical Society (AMS). This preliminary version is made available with the permission of the AMS and may not be changed, edited, or reposted at any other website without explicit written permission from the author and the AMS. Author's preliminary version made available with permission of the publisher, the American Mathematical SocietyTo Susanne, Simon, and JakobAuthor's preliminary version made available with permission of the publisher, the American Mathematical SocietyAuthor's preliminary version made available with permission of the publisher, the American Mathematical SocietyContentsPrefacexiPart 1.
The basic existence and uniqueness result 36 §2.3. Some extensions 39 §2.4. Dependence on the initial condition 42 §2.5. Regular perturbation theory 48 §2.6. Extensibility of solutions 50 §2.7. Euler’s method and the Peano theorem 54 Chapter 3. …
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