Countable systems of differential equations
by Samoĭlenko, A. M., (Anatoliĭ Mikhaĭlovich)
Title Statements
- Full title :Countable systems of differential equations / A.M. Samoilenko and Yu. V. Teplinskii.
Edition Statements
- Publication Date:2003.
Publication Statements
- Publisher(s):VSP
- Place of Publication:Utrecht
- Language:eng
- Publication Date:2003.
The Physical Object
- Description:1 online resource (viii, 287 pages)
Edition Identifiers
- ISBN:9783110942033, 3110942038
- oclc:ocn811401623
- LC Classification:QA372
- Dewey Decimal:515/.35
Table of Contents
PREFACE -- 1. GENERAL CONCEPTS OF THE THEORY OF INFINITE SYSTEMS OF DIFFERENTIAL EQUATIONS -- 1.1. Theorems on Existence and Uniqueness of Solutions -- 1.2. Truncation Method -- 1.3. Solutions of the Linear System -- 1.4. Matrizant of a Linear System -- 1.5. Normal Autonomous Systems -- 1.6. Periodic Solutions -- 2. INVARIANT TORI -- 2.7. Green Function -- 2.8. Existence of a Smooth Invariant Torus -- 2.9. Cl-Differentiability of the Invariant Torus -- 2.10. The Case of Infinitely Many Angular Variables
2.11. Theorem on Convergence of the Sequence of Invariant Tori2.12. Invariant Tori of Nonlinear Systems -- 2.13. Exponential Attraction of Motions in a Neighborhood of the Invariant Torus of a System of Equations to Its Motions on the Torus -- 3. REDUCIBILITY OF LINEAR SYSTEMS -- 3.14. Erugin and Floquet�Lyapunov Theorems -- 3.15. Periodic Systems -- 3.16. Systems with Almost Periodic Coefficients -- 3.17. Quasiperiodic Systems with Unbounded Right-Hand Side -- 3.18. Decomposition of Countable Systems -- 4. IMPULSIVE SYSTEMS
4.19. Some Results of the Theory of Linear Systems4.20. Integral Sets and Invariant Tori -- 4.21. Periodic Solutions for Impulsive Systems with Small Param…
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