We show that if the Lyapunov exponents of a linear delay equation x′ = L(t)x t are limits, then the same happens with the exponential growth rates of the solutions to the equation x′ = L(t)x t + f(t, x t) for any sufficiently small perturbation f.
@article{bwmeta1.element.doi-10_2478_s11533-013-0244-6,
author = {Luis Barreira and Claudia Valls},
title = {A Perron-type theorem for nonautonomous delay equations},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1283-1295},
zbl = {1271.34072},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0244-6}
}
Luis Barreira; Claudia Valls. A Perron-type theorem for nonautonomous delay equations. Open Mathematics, Tome 11 (2013) pp. 1283-1295. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0244-6/
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