Nonuniform exponential stability for evolution families on the real line
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04. Apr. 2017
Über diesen Artikel
Online veröffentlicht: 04. Apr. 2017
Seitenbereich: 199 - 212
Eingereicht: 27. Apr. 2014
Akzeptiert: 29. Juni 2014
DOI: https://doi.org/10.1515/auom-2015-0013
Schlüsselwörter
© 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.
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.