On the Difference equation xn+1=axn−l+bxn−k+cxn−sdxn−s−e

DOI10.1002/mma.3980zbMath1372.39014OpenAlexW2439514427MaRDI QIDQ2960161

Mohamed M. El-Dessoky

Publication date: 7 February 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3980

zbMATH Keywords

stabilityperiodic solutionspositive solutionsglobal stabilityrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Related Items (2)

Unnamed Item ⋮ Dynamics of the nonlinear rational difference equation \({x_{n + 1}} = \frac{Ax_{n - \alpha}x_{n - \beta} + Bx_{n - \gamma}} {Cx_{n - \alpha}x_{n - \beta} + Dx_{n - \gamma}} \)

Cites Work

• Unnamed Item
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• Some notes on the difference equation \(x_{n+1} = \alpha + (x_{n-1}/x^k_n)\)
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• On the oscillation of a third order rational difference equation
• Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model
• The existence of periodic solutions of higher order nonlinear periodic difference equations
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• GLOBAL ASYMPTOTIC STABILITY OF A HIGHER ORDER DIFFERENCE EQUATION
• Global asymptotic stability of a second order rational difference equation
• Global behavior of a higher order difference equation
• Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)

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