The attractivity of nonlinear differential equations with timedelays and impulsive effects is discussed. We obtain some criteriato determine the attracting set and attracting basin of theimpulsive delay system by developing an impulsive delaydifferential inequality and introducing the concept of nonlinearmeasure. Examples and their simulations illustrate theeffectiveness of the results and different asymptotical behaviorsbetween the impulsive system and the corresponding continuoussystem.
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