On boundedness of the solutions of the difference equation \(x_{n+1}=x_{n-1}/(p+x_{n})\)

DOI10.1155/DDNS/2006/20652zbMath1149.39301OpenAlexW1495247067MaRDI QIDQ933834

Taixiang Sun, Hui Wu, Hongjian Xi

Publication date: 28 July 2008

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/ddns/2006/20652

zbMATH Keywords

global asymptotic stabilitybounded solutionsrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

Related Items (13)

Boundedness character of a fourth order nonlinear difference equation ⋮ Global asymptotic behavior of a rational difference equation ⋮ The behavior of positive solutions of a nonlinear second-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 ⋮ On the properties of reachability, observability, controllability, and constructibility of discrete-time positive time-invariant linear systems with aperiodic choice of the sampling instants ⋮ On the difference equation \(x_{n+1}=\sum_{j=0}^{k}a_{j}f_{j}(x_{n - j})\) ⋮ A global convergence result for a higher order difference equation ⋮ Asymptotic periodicity of a higher-order difference equation ⋮ Quantitative bounds for positive solutions of a Stević difference equation ⋮ On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\) ⋮ Boundedness character of a class of difference equations

Cites Work

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