Invariant intervals and global behavior of a higher order difference equation

DOI10.1016/j.camwa.2012.01.046zbMath1268.39017OpenAlexW2050153253MaRDI QIDQ356032

Tuo Li

Publication date: 25 July 2013

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.01.046

zbMATH Keywords

boundednessglobal asymptotic stabilityinvariant intervalsperiodic character

Mathematics Subject Classification ID

Additive difference equations (39A10) Stability theory for difference equations (39A30)

Cites Work

• Global stability of a rational symmetric difference equation
• Nonoscillation for second order sublinear dynamic equations on time scales
• Oscillation criteria for second-order matrix dynamic equations on a time scale
• 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 asymptotic stability of a second-order nonlinear difference equation
• Global asymptotic stability of a second order rational difference equation
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