The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures
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Publication:1827168
DOI10.1016/S0898-1221(03)00090-7zbMath1077.39004WikidataQ122940343 ScholiaQ122940343MaRDI QIDQ1827168
Mustafa R. S. Kulenović, I. W. Rodrigues, Gerasimos E. Ladas, Luiz Felipe Martins
Publication date: 6 August 2004
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
periodic solutionsboundednessglobal attractivityglobal asymptotic stabilitysemicyclesrational difference equation
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Cites Work
- On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
- Global attractivity in a nonlinear difference equation
- Invariants and related Liapunov functions for difference equations
- On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\).
- On rational recursive sequences
- Oscillations and global attractivity in a discrete delay logistic model
- On the recursive sequence
- Open problems and conjectures
- Stability trichotomy, path stability, and relative stability for positive nonlinear difference equations of higher order
- Asyptotics for linear difference equations I:basic theory
- A rational difference equation
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