On the period five trichotomy of all positive solutions of \(x_{n+1}=(p+x_{n-2})/x_{n}\).
From MaRDI portal
Publication:1426064
DOI10.1016/j.jmaa.2003.10.016zbMath1040.39003OpenAlexW2069616740MaRDI QIDQ1426064
Richard DeVault, Elias Camouzis, Witold A. Kosmala
Publication date: 14 March 2004
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.10.016
asymptotic behaviorglobal stabilityperiodic solutionbounded solutionpositive equilibriumunbounded solutionsmultiplicative difference equation
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (12)
On the boundedness character of rational equations, part 3 ⋮ On the period-five trichotomy of the rational equation ⋮ On the boundedness of solutions of a class of third-order rational difference equations ⋮ Open Problems and Conjectures ⋮ Dynamics of \(x_{n+1}=\frac{x_{n-2k+1}}{x_{n-22k+1}+\alpha x_{n-2l}}\) ⋮ Long-term behavior of solutions of the difference equation \(x_{n+1}=x_{n - 1}x_{n - 2} - 1\) ⋮ Solutions of the difference equation \(x_{n+1}=x_nx_{n - 1} - 1\) ⋮ Open Problems and Conjectures ⋮ Open Problems and Conjectures ⋮ On the Dynamics of ⋮ Progress Report on Rational Difference Equations ⋮ On the boundedness of some rational difference equations
Cites Work
This page was built for publication: On the period five trichotomy of all positive solutions of \(x_{n+1}=(p+x_{n-2})/x_{n}\).
