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Volume 6, Number 2, 2016, Pages 350-366                                                                DOI:10.11948/2016027
Stability in totally nonlinear delay difference equations
Abdelouaheb Ardjouni,Ahcene Djoudi
Keywords:Fixed point, stability, delay difference equations
Abstract:
      In this paper we use fixed point method to prove asymptotic stability results of the zero solution of a nonlinear delay difference equation. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Raffoul (2006) \cite{r1}, Yankson (2009) \cite{y1}, Jin and Luo (2009) \cite{jin} and Chen (2013) \cite{c}
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