2017
Том 69
№ 6

All Issues

Asymptotic behavior and periodic nature of two difference equations

Khalaf-Allah R.

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Abstract

We discuss the global asymptotic stability of the solutions of the difference equations $$x_{n+1} = \frac{x_{n−2}}{±1 + x_nx_{n−1}x_{n−2}}, \quad n = 0,1,…,$$ where the initial conditions $x_{−2}, x_{−1}, x_0$ are real numbers.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 6, pp 988-993.

Citation Example: Khalaf-Allah R. Asymptotic behavior and periodic nature of two difference equations // Ukr. Mat. Zh. - 2009. - 61, № 6. - pp. 834-838.

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