Advances in Difference Equations (Jan 2009)

Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables

  • Zhixia Ma,
  • Liguang Xu

DOI
https://doi.org/10.1155/2009/495972
Journal volume & issue
Vol. 2009

Abstract

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A class of impulsive infinite delay difference equations with continuous variables is considered. By establishing an infinite delay difference inequality with impulsive initial conditions and using the properties of “ϱ-cone,” we obtain the attracting and invariant sets of the equations.