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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...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Amsterdam ; Boston :
Elsevier,
2007.
|
| Edition: | 1st ed. |
| Series: | North-Holland mathematics studies ;
206. |
| Subjects: | |
| Online Access: | Texto completo Texto completo Texto completo |
Table of Contents:
- 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.