Difference equations in normed spaces : stability and oscillations /

Many problems for partial difference and integro-difference equations can be written as difference equations in a normed space. This book is devoted to linear and nonlinear difference equations in a normed space. Our aim in this monograph is to initiate systematic investigations of the global behavi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gilʹ, M. I. (Mikhail Iosifovich)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Boston : Elsevier, 2007.
Edición:1st ed.
Colección:North-Holland mathematics studies ; 206.
Temas:
Difference equations.
Normed linear spaces.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • 1. Definitions and Preliminaries
  • 2. Classes of Operators
  • 3. Functions of Finite Matrices
  • 4. Norm Estimates for Operator Functions
  • 5. Spectrum Perturbations
  • 6. Linear Equations with Constant Operators
  • 7. Liapunov's Type Equations
  • 8. Bounds for Spectral Radiuses
  • 9. Linear Equations with Variable Operators
  • 10. Linear Equations with Slowly Varying Coefficients
  • 11. Nonlinear Equations with Autonomous Linear Parts
  • 12. Nonlinear Equations with Time-Variant Linear Parts
  • 13. Higher Order Linear Difference Equations
  • 14. Nonlinear Higher Order Difference Equations
  • 15. Input-to-State Stability
  • 16. Periodic Solutions of Difference Equations and Orbital Stability
  • 17. Discrete Volterra Equations in Banach Spaces
  • 18. Convolution type Volterra Difference Equations in Euclidean Spaces and their Perturbations
  • 19 Stieltjes Differential Equations
  • 20 Volterra-Stieltjes Equations
  • 21. Difference Equations with Continuous Time
  • 22. Steady States of Difference Equations
  • Appendix A
  • Notes
  • References
  • List of Main Symbols
  • Index.

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