Global behavior of a higher-order difference equation

DOI10.1155/2010/834020zbMath1192.39014OpenAlexW1982949463WikidataQ58650652 ScholiaQ58650652MaRDI QIDQ980813

Tuo Li, Xiu-Mei Jia

Publication date: 29 June 2010

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

Full work available at URL: https://eudml.org/doc/224002

zbMATH Keywords

global asymptotic stabilitypositive equilibriumrational difference equationhigher-order difference equation

Mathematics Subject Classification ID

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

Cites Work

• Global asymptotic stability and oscillation of a family of difference equations
• Global asymptotic stability in a rational recursive sequence
• Global stability of a rational symmetric difference equation
• Nonoscillation for second order sublinear dynamic equations on time scales
• The characteristics of a higher-order rational difference equation
• Dynamics of a higher order rational difference equation
• Oscillation criteria for second-order matrix dynamic equations on a time scale
• Global stability in difference equations satisfying the generalized Yorke condition
• On the global attractivity of systems of nonlinear difference equations
• The oscillatory character of the recursive sequence \(x_{n+1}= \frac {\alpha+\beta x_{n-k+1}}{A+Bx_{n-2k+1}}\)
• Attractivity of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)F(x_{n-1},\dots,x_{n-k})\).
• On the global behavior of higher order recursive sequences
• Global attractivity in a nonlinear second‐order difference equation
• Open problems and conjectures
• Global asymptotic stability of a second order rational difference equation

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