Nonuniform exponential stability for evolution families on the real line
and | Apr 04, 2017
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
© 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.