<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The paper considers the general concept of uniform exponential splitting as a generalization of uniform exponential dichotomy property for evolution operators in Banach spaces.</p><p>Two characterizations in terms of integral inequalities of Datko-type respectively Lyapunov functions for uniform exponential splitting of a noninvertible evolution operator with respect to invariant projections families are obtained.</p></abstract>

The paper considers the general concept of uniform exponential splitting as a generalization of uniform exponential dichotomy property for evolution operators in Banach spaces.Two characterizations in terms of integral inequalities of Datko-type respectively Lyapunov functions for uniform exponential splitting of a noninvertible evolution operator with respect to invariant projections families are obtained.

On uniform exponential splitting for noninvertible evolution operators in Banach Spaces

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

Faculty of Exact Sciences, ”Aurel Vlaicu” University, Elena Drăgoi Str., No. 2, 310330 Arad, Romania

Academy of Romanian Scientists, 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 the general concept of uniform exponential splitting as a generalization of uniform exponential dichotomy property for evolution operators...

On uniform exponential splitting for noninvertible evolution operators in Banach Spaces

Published Online: Apr 09, 2016

Page range: 121 - 131

Received: Nov 01, 2015

Accepted: Dec 15, 2015

DOI: https://doi.org/10.1515/awutm-2015-0019

Keywords
Uniform exponential splitting, uniform exponential dichotomy, evolution operators

© 2015 Annals of West University of Timisoara - Mathematics

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

On uniform exponential splitting for noninvertible evolution operators in Banach Spaces

Published Online: Apr 09, 2016

Page range: 121 - 131

Received: Nov 01, 2015

Accepted: Dec 15, 2015

DOI: https://doi.org/10.1515/awutm-2015-0019

KeywordsUniform exponential splitting, uniform exponential dichotomy, evolution operators

© 2015 Annals of West University of Timisoara - Mathematics

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

Keywords
Uniform exponential splitting, uniform exponential dichotomy, evolution operators