An explicit formula and forbidden set for a higher order difference equation

DOI10.1007/s12190-019-01311-9zbMath1478.39016OpenAlexW2998055316WikidataQ126413197 ScholiaQ126413197MaRDI QIDQ2053010

Mehmet Gümüş, Raafat Abo-Zeid

Publication date: 29 November 2021

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

Full work available at URL: https://doi.org/10.1007/s12190-019-01311-9

zbMATH Keywords

periodic solutionunbounded solutiondifference equationforbidden set

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23)

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On the solutions of three-dimensional rational difference equation systems

Cites Work

• On the difference equation \(x_{n}=x_{n-k} / (b+cx_{n-q}+\dots{ }+x_{n-k})\)
• On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\)
• The rational recursive sequence \(x_{n+1}=(\beta x^ 2_ n)/(1+x^ 2_{n-1})\)
• Convergence of a difference equation via the full limiting sequences method
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• On positive solutions of a (\(k+1\))th order difference equation
• Open Problems and Conjectures
• Global behaviours of rational difference equations of orders two and three with quadratic terms
• The global asymptotic stability of a system of difference equations
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• Global behavior of a higher order rational difference equation
• Open Problems and Conjectures
• Global behavior of a higher order difference equation
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