Attractivity of nonlinear impulsive delay differentialequations

[摘要] The attractivity of nonlineardifferential equations with timedelays and impulsive effects is discussed. We obtain some criteriato determine the attracting set and attracting basinof theimpulsive delay system by developing an impulsive delaydifferential inequality and introducing the concept of nonlinearmeasure. Examplesand their simulations illustrate theeffectiveness of the results anddifferent asymptotical behaviorsbetween the impulsive system and the corresponding continuoussystem.

[学科分类] 应用数学