Abstract
We give a characterization of the existence of a nonuniform exponential dichotomy for a linear impulsive differential equation. The characterization uses quadratic functions and the symmetric matrices defining them. As an application, we give a simple proof of the robustness property of a nonuniform exponential dichotomy under sufficiently small linear perturbations.
Citation
Luis Barreira. Claudia Valls. "Exponential dichotomies for impulsive equations via quadratic functions." Rocky Mountain J. Math. 46 (6) 1771 - 1793, 2016. https://doi.org/10.1216/RMJ-2016-46-6-1771
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