<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The paper considers a concept of exponential trichotomy for cocycles over semiflows in Banach spaces and as a particular case the corresponding dichotomy concept. Our main objective is to give a characterization of exponential trichotomy for a cocycle over a semiflow in terms of exponential dichotomy of two associated cocycles over the same semi ow. </p></abstract>

The paper considers a concept of exponential trichotomy for cocycles over semiflows in Banach spaces and as a particular case the corresponding dichotomy concept. Our main objective is to give a characterization of exponential trichotomy for a cocycle over a semiflow in terms of exponential dichotomy of two associated cocycles over the same semi ow.

On Exponential Trichotomy of Cocycles over Semiflows

Department of Mathematics Faculty of Mathematics and Computer Science West University of Timişoara B-dul V. Pârvan no 4 300223-Timişoara Romania

Faculty of Economic Sciences Eftimie Murgu University Traian Vuia no 1-4 Reşiţa Romania

Annals of West University of Timisoara - Mathematics and Computer Science

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{"article-title":"On Exponential Trichotomy of Cocycles over Semiflows"}

The paper considers a concept of exponential trichotomy for cocycles over semiflows in Banach spaces and as a particular case the corresponding dichotomy...

On Exponential Trichotomy of Cocycles over Semiflows

Publié en ligne: 11 déc. 2014

Pages: 17 - 27

Reçu: 29 juil. 2014

Accepté: 20 sept. 2014

DOI: https://doi.org/10.2478/awutm-2014-0002

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.