Periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays
In the mathematical simulation of the evolution of real processes in physics, chemistry, population dynamics, radio engineering etc. which are subject to disturbances of negligible duration with respect to the total duration of the process, it is often convenient to assume that the disturbances are \momentary", in the form of impulses. (315.7Kb)
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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 periodic solution.