On the Trichotomy Character of

DOI10.1080/1023619031000146850zbMath1319.39006OpenAlexW1601711711MaRDI QIDQ2941689

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Publication date: 24 August 2015

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

Full work available at URL: https://doi.org/10.1080/1023619031000146850

zbMATH Keywords

boundednessperiodic solutionglobal attractordifference equationperiod-two trichotomytrichotomy character

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Related Items (14)

Studies on the difference equationx_n+1 = 1/(x_n+x_n − 2) ⋮ On the boundedness character of rational equations, part 3 ⋮ Open Problems and Conjectures ⋮ Dynamics of \(x_{n+1}=\frac{x_{n-2k+1}}{x_{n-22k+1}+\alpha x_{n-2l}}\) ⋮ Open Problems and Conjectures ⋮ Open Problems and Conjectures ⋮ On the Dynamics of ⋮ Progress Report on Rational Difference Equations ⋮ Qualitative properties for a fourth order rational difference equation ⋮ Stability of a rational difference equation ⋮ Qualitative behavior of a rational recursive sequence ⋮ On the boundedness of some rational difference equations ⋮ On periodic trichotomies ⋮ Dynamics of the difference equation

Cites Work

• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• Convergence of a difference equation via the full limiting sequences method
• On the recursive sequence 𝑥_{𝑛+1}=\frac{𝐴}𝑥_{𝑛}+\frac{1}𝑥_{𝑛-2}
• On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )

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