On the dynamics of the nonlinear rational difference equation \(x_{n+1}=Ax_{n}+Bx_{n-k}+Cx_{n-l}+\frac{bx_{n-k}}{dx{n-k}-ex{n-1}}\)
type: Item
instance of: scholarly article
title: On the dynamics of the nonlinear rational difference equation \(x_{n+1}=Ax_{n}+Bx_{n-k}+Cx_{n-l}+\frac{bx_{n-k}}{dx{n-k}-ex{n-1}}\)
zbMATH Open document ID: 1328.39002
author: M. A. El-Moneam
author: Elsayed M. E. Zayed
published in: Journal of the Egyptian Mathematical Society
publication date: 2015-12-22T00:00:00Z
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A30
Mathematics Subject Classification ID: 34C99
zbMATH DE Number: 6523391
zbMATH Keywords: difference equations
zbMATH Keywords: prime period two solution
zbMATH Keywords: boundedness character
zbMATH Keywords: locally asymptotically stable
zbMATH Keywords: global attractor
zbMATH Keywords: global stability
MaRDI profile type: Publication
full work available at URL: j.joems.2014.11.002
OpenAlex ID: W2073796560
cites work: Q5313262
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cites work: On the rational recursive sequence $ \ x_{n+1}=\Big ( A+\sum _{i=0}^k\alpha _ix_{n-i}\Big ) \Big / \sum _{i=0}^k\beta _ix_{n-i} $
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cites work: On the dynamics of the recursive sequence \(x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma\sum_{k=1}^tx_{n-2k}\prod_{k=1}^tx_{n-2k}}\)
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cites work: On the rational recursive sequence $ x_{n+1}=\dfrac {\alpha_0x_n+\alpha_1x_{n-l}+\alpha _2x_{n-k}} {\beta_0x_n+\beta_1x_{n-l}+\beta_2x_{n-k}}$
cites work: On the difference equation \(x_{n+1}=ax_n-bx_n/(cx_n-dx_{n-1})\)
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cites work: On the global attractivity of two nonlinear difference equations
cites work: On the rational recursive sequence \(x_{n+1}=\frac{A+\alpha_0x_n+\alpha_1x_{n-\sigma}}{B+\beta_0x_n+\beta_1x_{n-\tau}}\)
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DOI: 10.1016/J.JOEMS.2014.11.002
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description: scientific article; zbMATH DE number 6523391