Nonuniform exponential stability for evolution families on the real line
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04 abr 2017
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Publicado en línea: 04 abr 2017
Páginas: 199 - 212
Recibido: 27 abr 2014
Aceptado: 29 jun 2014
DOI: https://doi.org/10.1515/auom-2015-0013
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© 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.