Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays
Valéry Covachev, Zlatinka Covacheva, Haydar Akça, Eada Al-Zahrani (2003)
Open Mathematics
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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...