Global attractivity of the difference equation \(x_{n+1}=(x_{n}+\alpha x_{n-1})/(\beta +x_{n})\)

DOI10.1016/j.amc.2006.03.010zbMath1108.39005OpenAlexW77509319MaRDI QIDQ856141

Haibo Chen, Haihua Wang

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.03.010

zbMATH Keywords

numerical examplesperiodicityglobal attractivitynonnegative solutionsglobal asymptotic stabilityperiod two solutionrational difference equations

Mathematics Subject Classification ID

Related Items (2)

Dynamics of a rational difference equation ⋮ On a New Class of Rational Difference Equation zn+1 = azn + bzn-k + (α + βzn−k)/ (A+ Bzn−k)

Cites Work

• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• Global attractivity in a nonlinear difference equation
• On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\).
• On rational recursive sequences
• On the recursive sequence
• Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)
• A rational difference equation
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