Dynamics of a rational difference equation
From MaRDI portal
Publication:5916191
DOI10.1016/j.amc.2004.04.002zbMath1071.39009OpenAlexW1974897057MaRDI QIDQ5916191
Publication date: 4 May 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.002
positive solutionsglobal stabilityglobal attractorbounded solutionattractivitypositive equilibriuminvariant interval
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (34)
Dynamical behavior of a system of second-order nonlinear difference equations ⋮ Dynamics and Bifurcation of A second Order Rational Difference Equation with Quadratic Terms ⋮ Unnamed Item ⋮ On the difference equation \(x_n = \frac{p+x_{n-2}}{qx_{n-t}+x_{n-s}}\) ⋮ On a recursive sequence ⋮ Global stability of \(y_{n+1} =\frac {p+qy_{n}+ry_{n-k}}{1+y_{n}}\) ⋮ Global dynamics for a higher-order rational difference equation ⋮ Qualitative analysis of second-order fuzzy difference equation with quadratic term ⋮ On the dynamics of the nonlinear rational difference equation \(x_{n+1}=Ax_{n}+Bx_{n-k}+Cx_{n-l}+\frac{bx_{n-k}}{dx{n-k}-ex{n-1}}\) ⋮ Global asymptotic behavior of a rational difference equation ⋮ Dynamics of a higher-order nonlinear difference equation ⋮ Global asymptotic stability of a second order rational difference equation ⋮ Dynamical behavior of a system of third-order rational difference equation ⋮ Global asymptotical stability of a second order rational difference equation ⋮ On the system of high order rational difference equations ⋮ Solution and attractivity for a rational recursive sequence ⋮ Unnamed Item ⋮ Global stability of a rational difference equation ⋮ Dynamics of the difference equation \(x_{n+1}=\frac{x_n+p x_{n-k}}{x_n+q}\) ⋮ Dynamics of Kth Order Rational Difference Equation ⋮ Dynamics of a rational difference equation ⋮ Global stability of a rational difference equation ⋮ Stability of a rational difference equation ⋮ Dynamics of a non-linear difference equation ⋮ Dynamics of a higher-order rational difference equation ⋮ Global asymptotical stability in a rational difference equation ⋮ Dynamical behavior of a third-order rational fuzzy difference equation ⋮ On the rational difference equation y n + 1 = α 0 y n + α 1 y n − p + α 2 y n − q + α 3 y n − r + α 4 y n − s β 0 y n + β 1 y n − p + β 2 y n − q + β 3 y n − r + β 4 y n − s ⋮ Dynamics of the difference equation ⋮ On the dynamics of ⋮ Convergence of a logistic type ultradiscrete model ⋮ On the new solutions to the fuzzy difference equation \(x_{n + 1} = A + \frac{B}{x_n}\) ⋮ The qualitative behavior of solutions of a nonlinear difference equation ⋮ Dynamics of a rational difference equation using both theoretical and computational approaches
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global attractivity in a second-order nonlinear difference equation
- The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
- Properties of a certain Lyness equation
- Global attractivity in the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n})/(\gamma-x_{n-1})\)
- A note on the periodic cycle of \(x_{n+2}=(1+x_{n+1})/(x_n)\)
- On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\)
- Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
- On rational recursive sequences
- Lyness-type equations in the third quardrant
- On the recursive sequence
- Global attractivity in a nonlinear second‐order difference equation
- Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)
- A rational difference equation
This page was built for publication: Dynamics of a rational difference equation
