Boundedness and global stability of a higher-order difference equation

DOI10.1080/10236190802332258zbMath1161.39011OpenAlexW2166029111MaRDI QIDQ3534866

Stevo Stević

Publication date: 5 November 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802332258

zbMATH Keywords

boundednesspositive solutionsglobal stabilityequilibrium pointrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

Related Items (4)

On a generalized max-type difference equation from automatic control theory ⋮ The boundedness character of two Stević-type fourth-order difference equations ⋮ On a higher-order nonlinear difference equation ⋮ On a class of third-order nonlinear difference equations

Cites Work

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• On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\)
• Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
• More on the Difference Equation y n + 1 = ( p + y n −1 )/( qy n + y n −1 )
• On the recursive sequence

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