<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The paper considers some concepts of (h, k)-dichotomy and (h, k)-trichotomy for noninvertible evolution operators in Ba- nach spaces. A characterization of the (h, k)-trichotomy of an evolution operator in terms of (h, k)-dichotomy for two associated evolution operators is given. As applications of this result, charac- terizations for nonuniform exponential trichotomy and nonuniform polynomial trichotomy are obtained.</p></abstract>

The paper considers some concepts of (h, k)-dichotomy and (h, k)-trichotomy for noninvertible evolution operators in Ba- nach spaces. A characterization of the (h, k)-trichotomy of an evolution operator in terms of (h, k)-dichotomy for two associated evolution operators is given. As applications of this result, charac- terizations for nonuniform exponential trichotomy and nonuniform polynomial trichotomy are obtained.

On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces

Department of Mathematics West University of Timişoara V. Pârvan Blvd. No. 4 300223 Timisoara Romania

Academy of Romanian Scientists West University of Timişoara V. Pârvan Blvd. No. 4 300223 Timişoara Romania

Department of Mathematics West University of Timişoara V. Pârvan Blvd. No. 4 300223 Timişoara Romania

Annals of West University of Timisoara - Mathematics and Computer Science

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

The paper considers some concepts of (h, k)-dichotomy and (h, k)-trichotomy for noninvertible evolution operators in Ba- nach spaces. A characterization of the...

On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces

Published Online: Mar 25, 2015

Page range: 127 - 143

Received: Oct 04, 2014

Accepted: Feb 10, 2015

DOI: https://doi.org/10.2478/awutm-2014-0015

Keywords
Evolution operators, (h, k)-trichotomy, (h, k)- dichotomy

© Annals of West University of Timisoara - Mathematics

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

On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces

Published Online: Mar 25, 2015

Page range: 127 - 143

Received: Oct 04, 2014

Accepted: Feb 10, 2015

DOI: https://doi.org/10.2478/awutm-2014-0015

KeywordsEvolution operators, (h, k)-trichotomy, (h, k)- dichotomy

© Annals of West University of Timisoara - Mathematics

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

Keywords
Evolution operators, (h, k)-trichotomy, (h, k)- dichotomy