On the convergence of \(x_n = f(x_ {n-2}, x_{n-1})\) when \(f (x, y) < x\)

DOI10.1186/1687-1847-2014-8zbMath1343.39028OpenAlexW1998736038WikidataQ59400217 ScholiaQ59400217MaRDI QIDQ307218

Gabor Nyerges

Publication date: 1 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-8

zbMATH Keywords

second-order difference equationapproximating initial conditions for convergenceconvergence to prime period two sequencesconvergence to zero

Mathematics Subject Classification ID

Periodic solutions of difference equations (39A23)

Related Items (2)

Existence and global behavior of positive solutions for some eigenvalue problems ⋮ Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with \(\psi\)-Caputo derivative

Cites Work

• Convergence properties in the nonhyperbolic case \(x_{n+1} = \frac {x_{n-1}}{1+f(x_{n})}\)
• Convergence results on a second-order rational difference equation with quadratic terms
• Convergence of solutions in a nonhyperbolic case.

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