On the dynamics of a higher-order rational difference equation (Q659516)
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scientific article; zbMATH DE number 5999631
| Language | Label | Description | Also known as |
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| English | On the dynamics of a higher-order rational difference equation |
scientific article; zbMATH DE number 5999631 |
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On the dynamics of a higher-order rational difference equation (English)
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23 January 2012
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Summary: The aim of this paper is to investigate the global asymptotic stability and the periodic character for the rational difference equation \[ x_{n+1} = \alpha x_{n-1}/(\beta + \gamma \Pi^k_{i=l}x^{p_i}_{n-2i}),\;n = 0, 1, 2, \dots, \] where the parameters \(\alpha, \beta, \gamma, p_l, p_{l+1}, \dots, p_k\) are nonnegative real numbers, and \(l, k\) are nonnegative integers such that \(l \leq k\).
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periodic solutions
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global asymptotic stability
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rational difference equation
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