A neutral impulsive system with a small delay of the argument of the derivative and another delay which differs from a constant by a periodic perturbation of a small amplitude is considered. If the corresponding system with constant delay has an isolated ω-periodic solution and the period of the delay is not rationally dependent on ω, then under a nondegeneracy assumption it is proved that in any sufficiently small neighbourhood of this orbit the perturbed system has a unique almost periodic solution.
@article{bwmeta1.element.doi-10_2478_BF02475211,
author = {Val\'ery Covachev and Zlatinka Covacheva and Haydar Ak\c ca and Eada Al-Zahrani},
title = {Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays},
journal = {Open Mathematics},
volume = {1},
year = {2003},
pages = {292-314},
zbl = {1039.34063},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475211}
}
Valéry Covachev; Zlatinka Covacheva; Haydar Akça; Eada Al-Zahrani. Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays. Open Mathematics, Tome 1 (2003) pp. 292-314. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475211/
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