On uniform exponential trisplitting for cocycles of linear operators in Banach spaces
Biriş Larisa Elena, Mihiţ Claudia Luminiţa, Ceauşu Traian and 1 more
Annals of the West University of Timisoara: Mathematics and Computer Science · 2018
doi:10.2478/awutm-2018-0017 (opens in a new tab)
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Abstract
The aim of this paper is to study the concept of uniform exponential trisplitting for skew-product semiflow in Banach spaces. This concept is a generalisation of the well-known concept of uniform exponential trichotomy. We obtain necessary and sufficient conditions for this concept of Datko’s type. a character-isation in terms of Lyapunov functions is provided. The results are obtained from the point of view of the projector families, i.e. invariant and strongly invariant.
Abstract licence: CC BY-NC-ND
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