Asymptotic Behavior and Stability Problems in Ordinary Differential Equations
This second edition, which has become necessary within so short a time, presents no major changes. However new results in the line of work of the author and of J. K. HaIe have made it advisable to rewrite seetion (8.5). Also, some references to most recent work have been added. LAMBERTO CESARI Unive...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1963, 1963
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| Edition: | 2nd ed. 1963 |
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, A Series of Modern Surveys in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. The concept of stability and systems with constant coefficients
- § 1. Some remarks on the concept of stability
- § 2. Linear systems with constant coefficients
- II. Genes al linear systems
- § 3. Linear systems with variable coefficients
- § 4. Linear systems with periodic coefficients
- § 5. The second order linear differential equation and generalizations
- III. Nonlinear systems
- § 6. Some basic theorems on nonlinear systems and the first method of Lyapunov
- § 7. The second method of Lyapunov
- § 8. Analytical methods
- § 9. Analytic-topological methods
- IV. Asymptotic developments
- § 10. Asymptotic developments in general