On boundedness of solutions of the difference equation \(x_{n+1}=(px_n+qx_{n - 1})/(1+x_n)\) for \(q>1+p>1\)
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Publication:1034130
DOI10.1155/2009/463169zbMath1175.39007OpenAlexW1640603559WikidataQ59248448 ScholiaQ59248448MaRDI QIDQ1034130
Taixiang Sun, Jinfeng Zhao, Weiyong Yu, Hongjian Xi
Publication date: 11 November 2009
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2009/463169
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Cites Work
- The behavior of positive solutions of a nonlinear second-order difference equation
- On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\)
- On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
- Asymptotic behavior of a nonlinear difference equation
- On the recursive sequence \(x_{n+1}=x_{n-1}/g(x_n)\)
- The recursive sequence \(x_{n+1} = g(x_{n},x_{n-1})/(A + x_{n})\)
- On the recursive sequence \(x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}\)
- Existence of nontrivial solutions of a rational difference equation
- Global behavior of a higher-order rational difference equation
- Asymptotics of some classes of higher-order difference equations
- Global asymptotic stability of a family of nonlinear recursive sequences
- The behaviour of the positive solutions of the difference equation
- When does periodicity destroy boundedness in rational equations?
- On the recursive sequence
- Asymptotic behavior of a sequence defined by iteration with applications
- Periodic Character of a Class of Difference Equation
- On the Behavior of Solutions ofxn+1=p+(xn−1/xn)
- Periodic solutions of the rational difference equation
- On the basin of attraction of the two cycle of the difference equation
- When does local asymptotic stability imply global attractivity in rational equations?
- On a generalisation of monotonic sequences
- Global behavior of solutions of the nonlinear difference equation
- A Note on the Recursive Sequence xn + 1= pkxn+ pk - 1xn - 1+ … + p1xn - k + 1
- On the recursive sequence
- Global asymptotic stability of a family of difference equations
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