The global attractivity of a rational difference equation with variable delays

DOI10.1080/10236190902865652zbMath1221.39012OpenAlexW2053376406MaRDI QIDQ3066365

Hassan A. El-Morshedy

Publication date: 10 January 2011

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

Full work available at URL: https://doi.org/10.1080/10236190902865652

zbMATH Keywords

global attractivityequilibriarational difference equationsvariable delays

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30)

Cites Work

• Unnamed Item
• Global asymptotic stability of a higher order rational difference equation
• On the asymptotic stability of \(x_{n+1}=(a+x_nx_{n - k})/(x_n+x_{n - k})\)
• On the recursive sequence \(x_n = \frac{ax_{n-1}+bx_{n-2}}{c+dx_{n-1}x_{n-2}}\)
• Two rational recursive sequences
• The global attractivity of the rational difference equation \(y_n = \frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}\)
• The global attractivity of the rational difference equation $y_{n}=1+\frac{y_{n-k}}{y_{n-m}}$
• Point Bifurcations and Bubbles for a Cubic Family

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