More on the Difference Equation y n + 1 = ( p + y n −1 )/( qy n + y n −1 )

DOI10.1080/0003681021000021114zbMath1022.39005OpenAlexW2005116867WikidataQ58300075 ScholiaQ58300075MaRDI QIDQ4782589

Christopher Teixeira, Witold A. Kosmala

Publication date: 2 December 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0003681021000021114

zbMATH Keywords

nonlinear rational difference equationlocal and global stabilityinvariant intervalsperiod two solutions

Mathematics Subject Classification ID

General theory of functional equations and inequalities (39B05)

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Higher order difference equations with homogeneous governing functions nonincreasing in each variable with unbounded solutions ⋮ On a nonlinear second-order difference equation ⋮ Hyers-Ulam stability of non-autonomous and nonsingular delay difference equations ⋮ Boundedness character of a fourth order nonlinear difference equation ⋮ On a class of recursive relations for calculating square roots of numbers ⋮ Boundedness and global stability of a higher-order difference equation ⋮ 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 behaviour of the solutions of a second-order difference equation ⋮ Asymptotics of some classes of higher-order difference equations ⋮ Asymptotic periodicity of a higher-order difference equation ⋮ On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\)

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