On the Dynamics of the Recursive Sequence
We investigate the boundedness character, the oscillatory, and the periodic character of positive solutions of the difference equation , where , , and the initial conditions are arbitrary positive numbers. We investigate the boundedness character for . Also, we investigate the existence of a prime...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/241303 |
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| _version_ | 1832561199939584000 |
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| author | Mehmet Gümüş Özkan Öcalan Nilüfer B. Felah |
| author_facet | Mehmet Gümüş Özkan Öcalan Nilüfer B. Felah |
| author_sort | Mehmet Gümüş |
| collection | DOAJ |
| description | We investigate the boundedness character, the oscillatory, and the periodic character of positive solutions of the difference equation , where , , and the initial conditions are arbitrary positive numbers. We investigate the boundedness character for . Also, we investigate the existence of a prime two periodic solution for is odd. Moreover, when is even, we prove that there are no prime two periodic solutions of the equation above. |
| format | Article |
| id | doaj-art-14a2684ab8fb4a77aa71ed50d084d2b9 |
| 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-14a2684ab8fb4a77aa71ed50d084d2b92025-02-03T01:25:38ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/241303241303On the Dynamics of the Recursive SequenceMehmet Gümüş0Özkan Öcalan1Nilüfer B. Felah2Department of Mathematics, Faculty of Science and Arts, Bülent Ecevit University, 67100 Zonguldak, TurkeyDepartment of Mathematics, Faculty of Science and Arts, ANS Campus, Afyon Kocatepe University, 03200 Afyonkarahisar, TurkeyDepartment of Mathematics, Faculty of Science and Arts, ANS Campus, Afyon Kocatepe University, 03200 Afyonkarahisar, TurkeyWe investigate the boundedness character, the oscillatory, and the periodic character of positive solutions of the difference equation , where , , and the initial conditions are arbitrary positive numbers. We investigate the boundedness character for . Also, we investigate the existence of a prime two periodic solution for is odd. Moreover, when is even, we prove that there are no prime two periodic solutions of the equation above.http://dx.doi.org/10.1155/2012/241303 |
| spellingShingle | Mehmet Gümüş Özkan Öcalan Nilüfer B. Felah On the Dynamics of the Recursive Sequence Discrete Dynamics in Nature and Society |
| title | On the Dynamics of the Recursive Sequence |
| title_full | On the Dynamics of the Recursive Sequence |
| title_fullStr | On the Dynamics of the Recursive Sequence |
| title_full_unstemmed | On the Dynamics of the Recursive Sequence |
| title_short | On the Dynamics of the Recursive Sequence |
| title_sort | on the dynamics of the recursive sequence |
| url | http://dx.doi.org/10.1155/2012/241303 |
| work_keys_str_mv | AT mehmetgumus onthedynamicsoftherecursivesequence AT ozkanocalan onthedynamicsoftherecursivesequence AT niluferbfelah onthedynamicsoftherecursivesequence |