Global behavior of a higher-order difference equation
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Publication:980813
DOI10.1155/2010/834020zbMath1192.39014OpenAlexW1982949463WikidataQ58650652 ScholiaQ58650652MaRDI QIDQ980813
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
global asymptotic stabilitypositive equilibriumrational difference equationhigher-order difference equation
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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