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Attractivity of nonlinear impulsive delay differential equations

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  • Zhichun Yang
  • Daoyi Xu

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.

Suggested Citation

  • Zhichun Yang & Daoyi Xu, 2006. "Attractivity of nonlinear impulsive delay differential equations," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-12, July.
    • Handle: RePEc:hin:jnijsa:083152
    DOI: 10.1155/JAMSA/2006/83152
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