Dynamic Behavior of a Logistic Type Equation with Infinite Delay

Anon-autonomousLogistictypeequationwithinfinitedelayisinvestigated.Forgeneralnonau-tonomouscase,sufficientconditionswhichguaranteetheuniformpersistenceandgloballyattractivityofthesystemareobtained;Foralmostperiodiccase,bymeansofasuitableLyapunovfunctional,sufficientconditionsarederivedfortheexistenceanduniquenessofalmostperiodicsolutionofthesystem.Somenewresultsareobtained.