Boundedness and global attractivity of a higher-order nonlinear difference equation
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Publication:965762
DOI10.1155/2010/610467zbMath1188.39014OpenAlexW2092900630WikidataQ58650847 ScholiaQ58650847MaRDI QIDQ965762
Publication date: 26 April 2010
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/226277
boundednesspositive solutionslocal stabilityglobal attractivityrational difference equationinvariant intervalsprime period-two solutions
Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)
Cites Work
- Global behavior of solutions to two classes of second-order rational difference equations
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- On the recursive sequence \(x_{n+1} = \frac{\alpha+\beta x_{n}+\gamma x_{n-1}} {Bx_{n}+Cx_{n-1}}\)
- The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures
- On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\).
- Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
- On rational recursive sequences
- Dynamics of a non-linear difference equation
- Global attractivity of the equilibrium of for q<p
- Boundedness of Positive Solutions of Second-order Rational Difference Equations
- Dynamics of a higher order nonlinear rational difference equation
- On the boundedness character of rational equations, part 2
- A note on unbounded solutions of a class of second order rational difference equations
- Global asymptotic stability of a second order rational difference equation
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