Global stability of a rational symmetric difference equation

DOI10.1016/j.amc.2009.06.026zbMath1177.39019OpenAlexW2078071096MaRDI QIDQ734847

Marwan Aloqeili

Publication date: 14 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.06.026

zbMATH Keywords

global stabilitysymmetric functionrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30)

Related Items (14)

Invariant intervals and global behavior of a higher order difference equation ⋮ Asymptotic behavior of equilibrium point for a family of rational difference equations ⋮ Global asymptotic stability of equilibrium point for a family of rational difference equations ⋮ Dynamical properties of a class of higher-order nonlinear difference equations ⋮ On a system of difference equations with period two coefficients ⋮ On some \(k\)-dimensional cyclic systems of difference equations ⋮ Global behavior of two families of nonlinear symmetric difference equations ⋮ On a higher-order difference equation ⋮ On a system of difference equations ⋮ Global stability of some symmetric difference equations ⋮ Part-metric and its applications in discrete systems ⋮ Global stability of some classes of higher-order nonlinear difference equations ⋮ Global behavior of a higher-order difference equation ⋮ On a New Class of Rational Difference Equation zn+1 = azn + bzn-k + (α + βzn−k)/ (A+ Bzn−k)

Cites Work

• Unnamed Item
• Global stability and asymptotics of some classes of rational difference equations
• The global attractivity of a higher order rational difference equation
• Global asymptotic stability in some discrete dynamical systems
• Global asymptotic stability for two recursive difference equations.
• Two rational recursive sequences
• The global attractivity of the rational difference equation \(y_n = \frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}\)
• Qualitative properties for a fourth-order rational difference equation
• Global behavior for a fourth-order rational difference equation
• The global attractivity of the rational difference equation $y_{n}=1+\frac{y_{n-k}}{y_{n-m}}$
• Linear difference equations mod 2 with applications to nonlinear difference equations1
• Global Asymptotic Stability in a Rational Equation*
• The global attractivity of the rational difference equation 𝑦_{𝑛}=𝐴+(\frac{𝑦_{𝑛-𝑘}}𝑦_{𝑛-𝑚})^{𝑝}

This page was built for publication: Global stability of a rational symmetric difference equation