Global behavior of the difference equation \(x_{n + 1} = x_{n - 1} g(x_n)\)

DOI10.1155/2014/705893zbMath1474.39026OpenAlexW1936022419WikidataQ59040773 ScholiaQ59040773MaRDI QIDQ1724778

Hongjian Xi, Bin Qin, Hui Wu, Taixiang Sun

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/705893

Mathematics Subject Classification ID

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

Cites Work

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• Dynamics of a family of nonlinear delay difference equations
• Global attractivity of a family of nonautonomous max-type difference equations
• Convergence properties in the nonhyperbolic case \(x_{n+1} = \frac {x_{n-1}}{1+f(x_{n})}\)
• On the asymptotic behavior of a difference equation with maximum
• Global stability of a max-type difference equation
• Convergence of solutions in a nonhyperbolic case.
• Dynamics of the max-type difference equation \({x_n=\max\{\frac{1}{x_{n-m}},\frac{A_n}{x_{n-r}}\}}\)
• On boundedness of solutions of the difference equation \(x_{n+1}=p+\frac{x_{n-1}}{x_{n}}\) for \(p<1\)

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