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Asymptotic behavior of a nonlinear difference equation. (English) Zbl 1049.39012

The author investigates the asymptotic behavior of solutions of scalar difference equations of the form \(x_{n+1} = f(x_n,\dots, x_{n-k})\) where \(f\) satisfies some estimates at infinity. The obtained results extend several well known ones.

MSC:

39A11 Stability of difference equations (MSC2000)
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