Some Notes on the Difference Equation xn+1=α+(xn−1/xnk)
We investigate the behavior of the solutions of the recursive sequence xn+1=α+xn-1/xnk, n=0,1,…, where α∈[0,∞), k∈(0,∞), and the initial conditions x-1,x0 are arbitrary positive numbers. Included are results that considerably improve those in the recently published paper by Hamza and Morsy (2009)....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/258502 |
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| _version_ | 1849308813892517888 |
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| author | Mehmet Gümüş Özkan Öcalan |
| author_facet | Mehmet Gümüş Özkan Öcalan |
| author_sort | Mehmet Gümüş |
| collection | DOAJ |
| description | We investigate the behavior of the solutions of the recursive sequence xn+1=α+xn-1/xnk, n=0,1,…, where α∈[0,∞), k∈(0,∞), and the initial conditions x-1,x0 are arbitrary positive numbers. Included are results that considerably improve those in the recently published paper by Hamza and Morsy (2009). |
| format | Article |
| id | doaj-art-17edabf464cf4ec0b024b1c17d4c0a99 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-17edabf464cf4ec0b024b1c17d4c0a992025-08-20T03:54:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/258502258502Some Notes on the Difference Equation xn+1=α+(xn−1/xnk)Mehmet Gümüş0Özkan Öcalan1Department of Mathematics, Faculty of Arts and Sciences, Bülent Ecevit University, 67100 Zonguldak, TurkeyDepartment of Mathematics, Faculty of Science and Literature, ANS Campus, Afyon Kocatepe University, 03200 Afyonkarahisar, TurkeyWe investigate the behavior of the solutions of the recursive sequence xn+1=α+xn-1/xnk, n=0,1,…, where α∈[0,∞), k∈(0,∞), and the initial conditions x-1,x0 are arbitrary positive numbers. Included are results that considerably improve those in the recently published paper by Hamza and Morsy (2009).http://dx.doi.org/10.1155/2012/258502 |
| spellingShingle | Mehmet Gümüş Özkan Öcalan Some Notes on the Difference Equation xn+1=α+(xn−1/xnk) Discrete Dynamics in Nature and Society |
| title | Some Notes on the Difference Equation xn+1=α+(xn−1/xnk) |
| title_full | Some Notes on the Difference Equation xn+1=α+(xn−1/xnk) |
| title_fullStr | Some Notes on the Difference Equation xn+1=α+(xn−1/xnk) |
| title_full_unstemmed | Some Notes on the Difference Equation xn+1=α+(xn−1/xnk) |
| title_short | Some Notes on the Difference Equation xn+1=α+(xn−1/xnk) |
| title_sort | some notes on the difference equation xn 1 α xn 1 xnk |
| url | http://dx.doi.org/10.1155/2012/258502 |
| work_keys_str_mv | AT mehmetgumus somenotesonthedifferenceequationxn1axn1xnk AT ozkanocalan somenotesonthedifferenceequationxn1axn1xnk |