On the positive nonoscillatory solutions of the difference equation \(x_{n+1}=\alpha+\Big(\dfrac{x_{n-k}}{x_{n-m}}\Big)^p\)

DOI10.1007/S11766-009-1905-XzbMath1194.39011OpenAlexW2039271819MaRDI QIDQ846784

Vu Van Khuong

Publication date: 12 February 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-1905-x

zbMATH Keywords

equilibriumpositive solutionasymptoticnonoscillatory solutionrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Oscillation theory for difference equations (39A21)

Related Items (3)

Global behavior and the periodic character of some biological models ⋮ On the difference equation \(x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )\) ⋮ Dynamics of difference equation \(x_{n+1}=f( x_{n-l},x_{n-k})\)

Cites Work

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• Asymptotic behavior of a nonlinear difference equation
• On the asymptotics of nonlinear difference equations
• On the recursive sequence \(x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}\)
• On the Recursive Sequencexⁿ⁺¹=
• Inclusion Theorems for Non-linear Difference Equations with Applications
• Asymptotic behavior of a sequence defined by iteration with applications
• Corrigendum: Corrections to ‘Inclusion theorems for non-linear difference equations with applications’
• A note on positive non-oscillatory solutions of the difference equation

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