On the recursive sequence \(x_{n+1}=\alpha-(x_n/x_{n-1})\)
From MaRDI portal
Publication:1767384
DOI10.1007/BF02936054zbMath1068.39030OpenAlexW2331126027MaRDI QIDQ1767384
Zhu Zhao, Xing-Xue Yan, Wang-Tong Li
Publication date: 10 March 2005
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02936054
convergenceperiodic solutionsglobal attractorglobal asymptotic stabilitybounded solutionrational difference equationchaotic solution
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (18)
Global asymptotic stability for a higher order nonlinear rational difference equations ⋮ The boundedness character of two Stević-type fourth-order difference equations ⋮ On a higher-order nonlinear difference equation ⋮ On the difference equation \(x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )\) ⋮ Dynamics of difference equation \(x_{n+1}=f( x_{n-l},x_{n-k})\) ⋮ A short proof of the Cushing-Henson conjecture ⋮ Stability of equilibrium points of fractional difference equations with stochastic perturbations ⋮ On a discrete epidemic model ⋮ On the recursive sequence \(x_{n}=1+\sum _{i=1}^{k}\alpha_i x_{n - p_{i}}/\sum _{j=1}^{m} \beta _{j}x_{n - q_j}\) ⋮ On the recursive sequence \(x_{n+1}=A+x_{n}^{p}/x_{n-1}^{p}\) ⋮ On the behaviour of the solutions of a second-order difference equation ⋮ Asymptotics of some classes of higher-order difference equations ⋮ Global stability of a rational difference equation ⋮ On the recursive sequence \(x_{n+1}=\frac{a x^p_{n-2m+1}}{b+cx_{n-2k}^{p-1}}\) ⋮ On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\) ⋮ Boundedness character of a class of difference equations ⋮ Boundedness character of two classes of third-order difference equations(1 ⋮ The behaviour of the positive solutions of the difference equation
Cites Work
- On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
- Global attractivity in the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n})/(\gamma-x_{n-1})\)
- Global attractivity in a rational recursive sequence.
- On asymptotic behaviour of the difference equation \(x_{x+1}=\alpha + \frac {x_{n-k}}{x_n}\)
- Global attractivity for a class of higher order nonlinear difference equations.
- On oscillation of nonlinear second order differential equation with damping term
- On asymptotic behaviour of the difference equation \(x_{n+1} = \alpha+\frac{x_{n-1}^p}{x_n^p}\).
- On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\)
- Existence of monotone solutions of some difference equations with unstable equilibrium
- Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
- On rational recursive sequences
- On the recursive sequence 𝑥_{𝑛+1}=\frac{𝐴}𝑥_{𝑛}+\frac{1}𝑥_{𝑛-2}
- Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)
- Oscillation and stability of nonlinear neutral impulsive delay differential equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the recursive sequence \(x_{n+1}=\alpha-(x_n/x_{n-1})\)
