Attractivity of the recursive sequence xn+1=(A−Bxn−2)/(C+Dxn−1)
In this paper, we investigate the global attractivity of the difference equation xn+1=A−Bxn−2C+Dxn−1,n=0,1,…, where A, B are nonnegative real numbers, C, D are positive real numbers and C+Dxn−1≠0 for all n ≥ 0.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X15000681 |
| _version_ | 1828445988038115328 |
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| author | A.M. Ahmed N.A. Eshtewy |
| author_facet | A.M. Ahmed N.A. Eshtewy |
| author_sort | A.M. Ahmed |
| collection | DOAJ |
| description | In this paper, we investigate the global attractivity of the difference equation
xn+1=A−Bxn−2C+Dxn−1,n=0,1,…,
where A, B are nonnegative real numbers, C, D are positive real numbers and C+Dxn−1≠0 for all n ≥ 0. |
| first_indexed | 2024-12-10T22:05:39Z |
| format | Article |
| id | doaj.art-25e51cb45c2f44329d2035c40518861f |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-10T22:05:39Z |
| publishDate | 2016-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-25e51cb45c2f44329d2035c40518861f2022-12-22T01:31:45ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2016-07-0124339239510.1016/j.joems.2015.08.004Attractivity of the recursive sequence xn+1=(A−Bxn−2)/(C+Dxn−1)A.M. Ahmed0N.A. Eshtewy1Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptDepartment of Mathematics, Faculty of Science Arish, Suez Canal University, 41522, Ismailia, EgyptIn this paper, we investigate the global attractivity of the difference equation xn+1=A−Bxn−2C+Dxn−1,n=0,1,…, where A, B are nonnegative real numbers, C, D are positive real numbers and C+Dxn−1≠0 for all n ≥ 0.http://www.sciencedirect.com/science/article/pii/S1110256X15000681Difference equationAttractivityBasin of attraction |
| spellingShingle | A.M. Ahmed N.A. Eshtewy Attractivity of the recursive sequence xn+1=(A−Bxn−2)/(C+Dxn−1) Journal of the Egyptian Mathematical Society Difference equation Attractivity Basin of attraction |
| title | Attractivity of the recursive sequence xn+1=(A−Bxn−2)/(C+Dxn−1) |
| title_full | Attractivity of the recursive sequence xn+1=(A−Bxn−2)/(C+Dxn−1) |
| title_fullStr | Attractivity of the recursive sequence xn+1=(A−Bxn−2)/(C+Dxn−1) |
| title_full_unstemmed | Attractivity of the recursive sequence xn+1=(A−Bxn−2)/(C+Dxn−1) |
| title_short | Attractivity of the recursive sequence xn+1=(A−Bxn−2)/(C+Dxn−1) |
| title_sort | attractivity of the recursive sequence xn 1 a bxn 2 c dxn 1 |
| topic | Difference equation Attractivity Basin of attraction |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X15000681 |
| work_keys_str_mv | AT amahmed attractivityoftherecursivesequencexn1abxn2cdxn1 AT naeshtewy attractivityoftherecursivesequencexn1abxn2cdxn1 |