Abstract
This paper deals with exponential dichotomy for generalized ODEs. We establish sufficient conditions to ensure that the exponential dichotomy of a linear generalized ODE is robust under certain perturbations. As a consequence, we obtain results on robustness of dichotomies for measure differential equations and, in particular, impulsive differential equations.
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The authors thank the referee for the valuable comments and suggestions that improved the results of this article.
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E.M. Bonotto is supported by FAPESP Grant 2016/24711-1 and by CNPq Grant 310497/2016-7. M. Federson is supported by FAPESP grant 2017/13795-2 and by CNPq grant 309344/2017-4. F. L. Santos: Supported by FAPESP Grant 2011/24027-0.
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Bonotto, E.M., Federson, M. & Santos, F.L. Robustness of Exponential Dichotomies for Generalized Ordinary Differential Equations. J Dyn Diff Equat 32, 2021–2060 (2020). https://doi.org/10.1007/s10884-019-09801-x
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DOI: https://doi.org/10.1007/s10884-019-09801-x