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Stability of Volterra difference delay equations. (English) Zbl 1113.39013

Author’s abstract: We study the asymptotic stability of the zero solution of Volterra difference delay equation \[ x(n+1)=a(n)x(n)+c(n)\Delta x(n-g(n))+\sum_{s=n-g(n)}^{n-1}k(n,s)h(x(s)). \] A Krasnoselkii fixed point theorem is used in the analysis.

MSC:

39A11 Stability of difference equations (MSC2000)
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