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Asymptotic behavior and periodic nature of two difference equations

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Ukrainian Mathematical Journal Aims and scope

We discuss the global asymptotic stability of the solutions of the difference equations

$$ {x_{n + 1}} = \frac{{{x_{n - 2}}}}{{ \pm 1 + {x_n}{x_{n - 1}}{x_{n - 2}}}},\,n = 0,1, \ldots, $$

where the initial conditions x −2, x −1, x 0 are real numbers.

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References

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 6, pp. 834 – 838, June, 2009.

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Khalaf-Allah, R. Asymptotic behavior and periodic nature of two difference equations. Ukr Math J 61, 988–993 (2009). https://doi.org/10.1007/s11253-009-0249-2

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  • DOI: https://doi.org/10.1007/s11253-009-0249-2

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