Progress Report on Rational Difference Equations

DOI10.1080/10236190410001654160zbMath1068.39007OpenAlexW2078006862MaRDI QIDQ4658742

Gerasimos E. Ladas, E. A. Grove, Mustafa R. S. Kulenović

Publication date: 18 March 2005

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190410001654160

zbMATH Keywords

boundednessperiodic solutionglobal asymptotic stabilitytrichotomythird order rational difference equation

Mathematics Subject Classification ID

Related Items (11)

Quantitative bounds for the recursive sequence \(y_{n} + 1 = A + \frac {{y}_{n}}{{y}_{n-k}}\) ⋮ The global attractivity of a higher order rational difference equation ⋮ On the asymptotic behavior of a system of two rational difference equations ⋮ Bifurcation analysis and chaos control in a second-order rational difference equation ⋮ Open problems and conjectures ⋮ The global attractivity of the rational difference equation \(y_n = \frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}\) ⋮ On the dynamics of a deterministic and stochastic model for mosquito control ⋮ On the rational recursive sequence \(y_n = A + \frac{y_{n-1}}{y_{n-m}}\) for smalla ⋮ Global dynamics of some systems of rational difference equations ⋮ Asymptotic behavior of an anti-competitive system of second-order difference equations ⋮ Qualitative behavior of a rational recursive sequence

Cites Work

• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• On the period five trichotomy of all positive solutions of \(x_{n+1}=(p+x_{n-2})/x_{n}\).
• On the Trichotomy Character of
• On Period-Two Convergence in Rational Equations
• On the Dynamics of
• On the recursive sequence
• On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )
• Three Trichotomy Conjectures
• On the Global Character of the Difference Equation X_{n+ 1}=
• Periodic Character of a Class of Difference Equation

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