Solution and Attractivity for a Rational Recursive Sequence
This paper is concerned with the behavior of solution of the nonlinear difference equation 𝑥𝑛+1=𝑎𝑥𝑛−1+𝑏𝑥𝑛𝑥𝑛−1/(𝑐𝑥𝑛+𝑑𝑥𝑛−2), 𝑛=0,1,…, where the initial conditions 𝑥−2, 𝑥−1, 𝑥0 are arbitrary positive real numbers and 𝑎,𝑏,𝑐,𝑑 are positive constants. Also, we give specific form of the solution of four sp...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/982309 |
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| author | E. M. Elsayed |
| author_facet | E. M. Elsayed |
| author_sort | E. M. Elsayed |
| collection | DOAJ |
| description | This paper is concerned with the behavior of solution of the nonlinear difference
equation 𝑥𝑛+1=𝑎𝑥𝑛−1+𝑏𝑥𝑛𝑥𝑛−1/(𝑐𝑥𝑛+𝑑𝑥𝑛−2), 𝑛=0,1,…, where the initial conditions 𝑥−2, 𝑥−1, 𝑥0 are arbitrary positive real numbers
and 𝑎,𝑏,𝑐,𝑑 are positive constants. Also, we give specific form of the solution of four special cases of this equation. |
| format | Article |
| id | doaj-art-e9d7cf88897c4f0f848627211af32206 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e9d7cf88897c4f0f848627211af322062025-08-20T02:21:54ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/982309982309Solution and Attractivity for a Rational Recursive SequenceE. M. Elsayed0Mathematics Department, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaThis paper is concerned with the behavior of solution of the nonlinear difference equation 𝑥𝑛+1=𝑎𝑥𝑛−1+𝑏𝑥𝑛𝑥𝑛−1/(𝑐𝑥𝑛+𝑑𝑥𝑛−2), 𝑛=0,1,…, where the initial conditions 𝑥−2, 𝑥−1, 𝑥0 are arbitrary positive real numbers and 𝑎,𝑏,𝑐,𝑑 are positive constants. Also, we give specific form of the solution of four special cases of this equation.http://dx.doi.org/10.1155/2011/982309 |
| spellingShingle | E. M. Elsayed Solution and Attractivity for a Rational Recursive Sequence Discrete Dynamics in Nature and Society |
| title | Solution and Attractivity for a Rational Recursive Sequence |
| title_full | Solution and Attractivity for a Rational Recursive Sequence |
| title_fullStr | Solution and Attractivity for a Rational Recursive Sequence |
| title_full_unstemmed | Solution and Attractivity for a Rational Recursive Sequence |
| title_short | Solution and Attractivity for a Rational Recursive Sequence |
| title_sort | solution and attractivity for a rational recursive sequence |
| url | http://dx.doi.org/10.1155/2011/982309 |
| work_keys_str_mv | AT emelsayed solutionandattractivityforarationalrecursivesequence |