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Ordinary differential equations : introduction to the theory of ordinary differential equations in the real domain

Author: Jaroslav Kurzweil
Publisher: Amsterdam ; New York : Elsevier, 1986.
Series: Studies in applied mechanics, 13.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Kurzweil, Jaroslav.
Ordinary differential equations.
Amsterdam ; New York : Elsevier, 1986
(OCoLC)624337805
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jaroslav Kurzweil
ISBN: 0444995099 9780444995094 0444417583 9780444417589
OCLC Number: 13333796
Notes: Translation of: Obyčejné diferenciální rovnice.
Translated by Michal Basch.
Includes indexes.
Description: 440 pages : illustrations ; 25 cm.
Contents: Preliminaries. 1. Introduction. 2. On Elementary Methods of Integration. 3. Systems of Differential Equations, Vector Notation. 4. Linear Differential Equations. 5. Autonomous Linear Differential Equations. 6. Periodic Linear Differential Equations. 7. Second Order Linear Differential Equations. 8. Asymptotic Behaviour of Solutions of Linear Differential Equations. 9. Linear Boundary Value Problems. 10. Local Existence of Solutions of Nonlinear Differential Equations. Kneser Theorem. Fukuhara Theorem. 11. Uniqueness. 12. Global Properties of Solutions of Differential Equations. 13. Differentiability of the Solution with Respect to Initial Conditions. 14. Dependence of the Solution on a Parameter. 15. Exponential Stability. Hyperbolic Point, Unstable and Stable Manifold. 16. First Integrals. Partial Differential Equations. 17. Autonomous Systems of Two Differential Equations. 18. Caratheodory Theory of Differential Equations. Differential Relations. Appendices. References. Index of Symbols. Subject Index.
Series Title: Studies in applied mechanics, 13.
Other Titles: Obyčejné diferenciální rovnice.
Responsibility: Jaroslav Kurzweil.
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