Almost periodic solutions of impulsive systems with periodic time - dependent perturbed delays

V. Covachev


An impulsive system with delay which differs from a constant by a small amplitude periodic perturbation is considered. If the corresponding system with constant delay has an isolated w-periodic solution and the period of the delay is rationally independent with w, 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.

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