On exponential trichotomy for discrete time skew-evolution semiflows in Banach spaces. (English) Zbl 1164.37352
Summary: We define the notion of discrete time skew-evolution semiflow in Banach spaces. For a unified treatment of uniform asymptotic behavior, as exponential growth, we use the notion of exponential trichotomy. An equivalent definition and a characterization for the property of trichotomy by means of two projection families is also given.
MSC:
| 37M99 | Approximation methods and numerical treatment of dynamical systems |
| 34D05 | Asymptotic properties of solutions to ordinary differential equations |
| 34D09 | Dichotomy, trichotomy of solutions to ordinary differential equations |
| 39A11 | Stability of difference equations (MSC2000) |
