Dynamics of the difference equation \(x_{n+1}=\frac{x_n+p x_{n-k}}{x_n+q}\)

DOI10.1016/j.camwa.2007.06.029zbMath1145.39303OpenAlexW293367708MaRDI QIDQ950046

Javad Mashreghi, Mehdi Dehghan, M. Jaberi Douraki

Publication date: 22 October 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.06.029

zbMATH Keywords

boundednessglobal asymptotic stabilitylocal asymptotic stabilityinvariant intervalsemicycle behavior

Mathematics Subject Classification ID

Related Items (5)

Stability and periodic character of a third order difference equation ⋮ The periodicity and solutions of the rational difference equation with periodic coefficients ⋮ Dynamics of a rational difference equation ⋮ Stability of a rational difference equation ⋮ Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\)

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