On the difference equation \(x_{n+1}=ax_n-bx_n/(cx_n-dx_{n-1})\)
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Publication:2472223
DOI10.1155/ADE/2006/82579zbMath1139.39304MaRDI QIDQ2472223
Hamdy A. El-Metwally, Elsayed M. Elsayed, Elmetwally M. Elabbasy
Publication date: 20 February 2008
Published in: Advances in Difference Equations (Search for Journal in Brave)
periodic solutionsasymptotic stabilityglobal attractivityrational difference equationboundedness character
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Cites Work
- Unnamed Item
- Unnamed Item
- Global behavior of the solutions of some difference equations
- On the difference equation \(x_{n+1}=\frac {x_{n-1}} {-1+x_{n}x_{n-1}}\)
- On the positive solutions of the difference equation \(x_{n+1}=(x_{n-1})/(1+x_{n} x_{n-1})\).
- On the positive solutions of the difference equation \(x_{n+1}=\frac {ax_{n-1}} {1+bx_{n}x_{n-1}}\)
- An asymptotic result for some delay difference equations with continuous variable
- On a class of fourth-order nonlinear difference equations
- On the system of rational difference equations \(x_{n+1}=f(x_n,y_{n-k})\), \(y_{n+1}=f(y_n,x_{n-k})\)
- On the periodic nature of some max-type difference equations
- On the global attractivity and the periodic character of some difference equations
- On the recursive sequence
- A global convergence result with applications to periodic solutions
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