Countable systems of differential equations / A.M. Samoilenko and Yu. V. Teplinskii.
Material type:![Text](/opac-tmpl/lib/famfamfam/BK.png)
- text
- computer
- online resource
- 9783110942033
- 3110942038
- 515/.35 22
- QA372 .S1615 2003eb
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OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Includes bibliographical references.
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 Parameter -- 4.22. Approximate Solution of the Periodic Problem of Control -- REFERENCES
English.
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