Attractivity of nonlinear impulsive delay differential
equations
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Published:2006-07-13
Issue:
Volume:2006
Page:1-12
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ISSN:1048-9533
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Container-title:Journal of Applied Mathematics and Stochastic Analysis
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language:en
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Short-container-title:Journal of Applied Mathematics and Stochastic Analysis
Author:
Yang Zhichun,Xu Daoyi
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.
Funder
National Natural Science Foundation of China
Publisher
Hindawi Limited
Subject
Applied Mathematics,Modeling and Simulation,Statistics and Probability
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