On a (2,2)-rational recursive sequence
We investigate the asymptotic behavior of the recursive difference equation yn+1=(α+βyn)/(1+yn−1) when the parameters α<0 and β∈â„Â. In particular, we establish the boundedness and the global stability of solutions for different ranges of the parameters α and β. W...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2005-09-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/ADE.2005.319 |
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doaj-b46e0090f4df413ea4a7628ffa0ce0522020-11-24T20:51:49ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472005-09-012005331933210.1155/ADE.2005.319On a (2,2)-rational recursive sequenceAzza K. KhalifaM. A. El-SayedMohamed Ben RhoumaWe investigate the asymptotic behavior of the recursive difference equation yn+1=(α+βyn)/(1+yn−1) when the parameters α<0 and β∈â„Â. In particular, we establish the boundedness and the global stability of solutions for different ranges of the parameters α and β. We also give a summary of results and open questions on the more general recursive sequences yn+1=(a+byn)/(A+Byn−1), when the parameters a,b,A,B∈℠and abAB≠0.http://dx.doi.org/10.1155/ADE.2005.319 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Azza K. Khalifa M. A. El-Sayed Mohamed Ben Rhouma |
| spellingShingle |
Azza K. Khalifa M. A. El-Sayed Mohamed Ben Rhouma On a (2,2)-rational recursive sequence Advances in Difference Equations |
| author_facet |
Azza K. Khalifa M. A. El-Sayed Mohamed Ben Rhouma |
| author_sort |
Azza K. Khalifa |
| title |
On a (2,2)-rational recursive sequence |
| title_short |
On a (2,2)-rational recursive sequence |
| title_full |
On a (2,2)-rational recursive sequence |
| title_fullStr |
On a (2,2)-rational recursive sequence |
| title_full_unstemmed |
On a (2,2)-rational recursive sequence |
| title_sort |
on a (2,2)-rational recursive sequence |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2005-09-01 |
| description |
We investigate the asymptotic behavior of the recursive difference equation yn+1=(α+βyn)/(1+yn−1) when the parameters α<0 and β∈â„Â. In particular, we establish the boundedness and the global stability of solutions for different ranges of the parameters α and β. We also give a summary of results and open questions on the more general recursive sequences yn+1=(a+byn)/(A+Byn−1), when the parameters a,b,A,B∈℠and abAB≠0. |
| url |
http://dx.doi.org/10.1155/ADE.2005.319 |
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AT azzakkhalifa ona22rationalrecursivesequence AT maelsayed ona22rationalrecursivesequence AT mohamedbenrhouma ona22rationalrecursivesequence |
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1716801136403415040 |