Countable systems of differential equations /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Samoĭlenko, A. M. (Anatoliĭ Mikhaĭlovich)
Otros Autores: Teplinskii, Yu. V.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Utrecht ; Boston : VSP, 2003.
Temas:
Differential equations.
Linear systems.
Invariant manifolds.
Équations différentielles.
Systèmes linéaires.
Variétés invariantes.
MATHEMATICS > Differential Equations > General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 Floquetâ€?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

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