<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The purpose of the present paper is to investigate the problem of nonuniform exponential stability of evolution families on the real line using the input-output technique known in the literature as the Perron method for the study of exponential stability. In this manuscript we describe an evolution family on the real line and we present sufficient conditions for the nonuniform exponential stability of an evolution family on the real line that does not have exponential growth.</p></abstract>

The purpose of the present paper is to investigate the problem of nonuniform exponential stability of evolution families on the real line using the input-output technique known in the literature as the Perron method for the study of exponential stability. In this manuscript we describe an evolution family on the real line and we present sufficient conditions for the nonuniform exponential stability of an evolution family on the real line that does not have exponential growth.

Nonuniform exponential stability for evolution families on the real line

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":"Nonuniform exponential stability for evolution families on the real line"}

The purpose of the present paper is to investigate the problem of nonuniform exponential stability of evolution families on the real line using the...

Nonuniform exponential stability for evolution families on the real line

Published Online: Apr 04, 2017

Page range: 199 - 212

Received: Apr 27, 2014

Accepted: Jun 29, 2014

DOI: https://doi.org/10.1515/auom-2015-0013

Keywords
Evolution family on ℝ, nonuniform exponential stability, Perron condition

© 2015 Claudia Isabela Morariu et al., published by De Gruyter Open

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

Nonuniform exponential stability for evolution families on the real line

Published Online: Apr 04, 2017

Page range: 199 - 212

Received: Apr 27, 2014

Accepted: Jun 29, 2014

DOI: https://doi.org/10.1515/auom-2015-0013

KeywordsEvolution family on ℝ, nonuniform exponential stability, Perron condition

© 2015 Claudia Isabela Morariu et al., published by De Gruyter Open

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

Keywords
Evolution family on ℝ, nonuniform exponential stability, Perron condition