On the difference equationx_{n + 1} = alpha + frac{{x_n^p }}{{x_{n - 1}^p }} |
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Authors: | Marwan Aloqeili |
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Affiliation: | 1. Department of Mathematics, Birzeit University, Birzeit, Palestine
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Abstract: | We study, firstly, the dynamics of the difference equation $x_{n + 1} = alpha + frac{{x_n^p }}{{x_{n - 1}^p }}$ , withp ∈ (0,1) and α∈ [0, ∞). Then, we generalize our results to the (k + 1)th order difference equation $x_{n + 1} = alpha + frac{{x_n^p }}{{x_{n - k}^p }}$ ,k = 2, 3,... with positive initial conditions. |
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