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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