On the recursive sequence xn+1=−1/xn+A/xn−1
We investigate the periodic character of solutions of the nonlinear difference equation xn+1=−1/xn+A/xn−1. We give sufficient conditions under which every positive solution of this equation converges to a period two solution. This confirms a conjecture in the work of DeVault et al. (2000).
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201010614 |
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| _version_ | 1832554672999628800 |
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| author | Stevo Stević |
| author_facet | Stevo Stević |
| author_sort | Stevo Stević |
| collection | DOAJ |
| description | We investigate the periodic character of solutions of the
nonlinear difference equation xn+1=−1/xn+A/xn−1. We give sufficient conditions under which every
positive solution of this equation converges to a period two
solution. This confirms a conjecture in the work of DeVault et al.
(2000). |
| format | Article |
| id | doaj-art-f7ad3deb263b4b6c8954544d3a11459a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f7ad3deb263b4b6c8954544d3a11459a2025-02-03T05:50:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-012711610.1155/S0161171201010614On the recursive sequence xn+1=−1/xn+A/xn−1Stevo Stević0Matematički Fakultet, Studentski Trg 16, Beograd 11000, SerbiaWe investigate the periodic character of solutions of the nonlinear difference equation xn+1=−1/xn+A/xn−1. We give sufficient conditions under which every positive solution of this equation converges to a period two solution. This confirms a conjecture in the work of DeVault et al. (2000).http://dx.doi.org/10.1155/S0161171201010614 |
| spellingShingle | Stevo Stević On the recursive sequence xn+1=−1/xn+A/xn−1 International Journal of Mathematics and Mathematical Sciences |
| title | On the recursive sequence xn+1=−1/xn+A/xn−1 |
| title_full | On the recursive sequence xn+1=−1/xn+A/xn−1 |
| title_fullStr | On the recursive sequence xn+1=−1/xn+A/xn−1 |
| title_full_unstemmed | On the recursive sequence xn+1=−1/xn+A/xn−1 |
| title_short | On the recursive sequence xn+1=−1/xn+A/xn−1 |
| title_sort | on the recursive sequence xn 1 1 xn a xn 1 |
| url | http://dx.doi.org/10.1155/S0161171201010614 |
| work_keys_str_mv | AT stevostevic ontherecursivesequencexn11xnaxn1 |