On the difference equation .

Elabbasy, E.M.; El-Metwally, H.; Elsayed, E.M.

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On the rational recursive sequence $x_{n + 1} = (A + \sum_{i = 0}^{k} α_{i} x_{n - i}) / \sum_{i = 0}^{k} β_{i} x_{n - i}$

E. M. E. Zayed, M. A. El-Moneam (2008)

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The main objective of this paper is to study the boundedness character, the periodic character, the convergence and the global stability of positive solutions of the difference equation $x_{n + 1} = (A + \sum_{i = 0}^{k} α_{i} x_{n - i}) / \sum_{i = 0}^{k} β_{i} x_{n - i}, n = 0, 1, 2, \dots$ where the coefficients $A$ , $α_{i}$ , $β_{i}$ and the initial conditions $x_{- k}, x_{- k + 1}, \dots, x_{- 1}, x_{0}$ are positive real numbers, while $k$ is a positive integer number.

Dynamics of a class of higher order difference equations.

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Displaying similar documents to “On the difference equation x n + 1 = a x n - b x n / ( c x n - d x n - 1 ) .”

Displaying similar documents to “On the difference equation $x_{n + 1} = a x_{n} - b x_{n} / (c x_{n} - d x_{n - 1})$ .”