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Ordinary differential equations and dynamical systems

Author: Thomas C Sideris
Publisher: Paris : Atlantis Press, [2013] ©2013.
Series: Atlantis studies in differential equations, 2.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book  Read more...
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Document Type: Book
All Authors / Contributors: Thomas C Sideris
ISBN: 9789462390201 9462390207
OCLC Number: 870969598
Description: xi, 225 pages : illustrations ; 24 cm
Contents: 1. Introduction --
2. Linear systems --
3. Existence theory --
4. Nonautonomous linear systems --
5. Results from functional analysis --
6. Dependence on initial conditions and parameters --
7. Linearization and invariant manifolds --
8. Periodic solutions --
9. Center manifolds and bifurcation theory --
10. The Birkhoff Smale Homoclinic theorem --
Appendix: Results from real analysis.
Series Title: Atlantis studies in differential equations, 2.
Responsibility: Thomas C. Sideris.
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From the book reviews: "This is a very nice text for a beginners course on ordinary differential equations and dynamical systems. ... All basic results about ordinary differential equations are Read more...

 
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