Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 83152, 12 pages
doi:10.1155/JAMSA/2006/83152
Abstract
The attractivity of nonlinear differential equations with time
delays and impulsive effects is discussed. We obtain some criteria
to determine the attracting set and attracting basin of the
impulsive delay system by developing an impulsive delay
differential inequality and introducing the concept of nonlinear
measure. Examples and their simulations illustrate the
effectiveness of the results and different asymptotical behaviors
between the impulsive system and the corresponding continuous
system.