Stability for impulsive functional differential equations with infinite delays

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Abstract

In this paper, some theorems of uniform stability and uniform asymptotic stability for impulsive functional differential equations with infinite delay are proved by using Lyapunov functionals and Razumikhin techniques. An example is also proved at the end to illustrate the application of the obtained results.

Original languageEnglish
Pages (from-to)909-922
Number of pages14
JournalActa Mathematica Sinica, English Series
Volume26
Issue number5
DOIs
StatePublished - 2010

Keywords

  • Impulsive functional equation
  • Infinite delay
  • Lyapunov functional
  • Stability

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