<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

On uniform exponential trisplitting for cocycles of linear operators in Banach spaces

Department of Exact Sciences and Engineering

University ”1 Decembrie” 1918 of Alba Iulia

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

On uniform exponential trisplitting for cocycles of linear operators in Banach spaces

Published Online: Apr 30, 2020

Page range: 81 - 103

DOI: https://doi.org/10.2478/awutm-2018-0017

Keywords
Cocycle over a semiflow, invariant projector, strongly invariant projector, uniform exponential trisplitting

© 2018 Larisa Elena Biriş et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On uniform exponential trisplitting for cocycles of linear operators in Banach spaces

Published Online: Apr 30, 2020

Page range: 81 - 103

DOI: https://doi.org/10.2478/awutm-2018-0017

KeywordsCocycle over a semiflow, invariant projector, strongly invariant projector, uniform exponential trisplitting

© 2018 Larisa Elena Biriş et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Cocycle over a semiflow, invariant projector, strongly invariant projector, uniform exponential trisplitting