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

Larisa Elena Biriş; Claudia Luminiţa Mihiţ; Traian Ceauşu; Ioan-Lucian Popa

doi:10.2478/awutm-2018-0017

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 56 (2018): Issue 2 (December 2018)

By: Larisa Elena Biriş, Claudia Luminiţa Mihiţ, Traian Ceauşu and Ioan-Lucian Popa

Open Access

|Apr 2020

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.

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2018-0017 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 81 - 103

Published on: Apr 30, 2020

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Cocycle over a semiflow,

invariant projector,

strongly invariant projector,

uniform exponential trisplitting

Related subjects:

Mathematics,

General mathematics

© 2020 Larisa Elena Biriş, Claudia Luminiţa Mihiţ, Traian Ceauşu, Ioan-Lucian Popa, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 56 (2018): Issue 2 (December 2018)