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On the difference equation \(y_{n+1}=A + \frac {y_n}{y_{n-k}}\) with \(A < 0\). (English) Zbl 1096.39011

For the difference equation in the title the global asymptotic stability of the equilibrium \(A+1\) is studied.

MSC:

39A11 Stability of difference equations (MSC2000)
39A20 Multiplicative and other generalized difference equations
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References:

[1] Abu-Saris, R.; DeVault, R., Global stability of \(y_{n + 1} = A + \frac{y_n}{y_{n - k}} \), Appl. Math. Lett., 16, 173-178 (2003) · Zbl 1049.39002
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