On the Dynamics of a Higher-Order Rational Difference Equation
The aim of this paper is to investigate the global asymptotic stability and the periodic character for the rational difference equation xn+1=αxn-1/(β+γΠi=lkxn-2ipi), n=0,1,2,…, where the parameters α,β,γ,pl,pl+1,…,pk are nonnegative real numbers, and l,k are nonnegative integers such that l≤k....
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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/10.1155/2011/419789 |
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| _version_ | 1832556092440182784 |
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| author | A. M. Ahmed |
| author_facet | A. M. Ahmed |
| author_sort | A. M. Ahmed |
| collection | DOAJ |
| description | The aim of this paper is to investigate the global asymptotic stability and the periodic character for the rational difference equation xn+1=αxn-1/(β+γΠi=lkxn-2ipi), n=0,1,2,…, where the parameters α,β,γ,pl,pl+1,…,pk are nonnegative real numbers, and l,k are nonnegative integers such that l≤k. |
| format | Article |
| id | doaj-art-d0e0bccea7f6451abd474a7ee9fd3d0b |
| institution | Kabale University |
| 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-d0e0bccea7f6451abd474a7ee9fd3d0b2025-02-03T05:46:23ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/419789419789On the Dynamics of a Higher-Order Rational Difference EquationA. M. Ahmed0Department of Natural Sciences, Arriyadh Community College, King Saud University, Malaz, P.O. Box 28095, Riyadh 11437, Saudi ArabiaThe aim of this paper is to investigate the global asymptotic stability and the periodic character for the rational difference equation xn+1=αxn-1/(β+γΠi=lkxn-2ipi), n=0,1,2,…, where the parameters α,β,γ,pl,pl+1,…,pk are nonnegative real numbers, and l,k are nonnegative integers such that l≤k.http://dx.doi.org/10.1155/2011/419789 |
| spellingShingle | A. M. Ahmed On the Dynamics of a Higher-Order Rational Difference Equation Discrete Dynamics in Nature and Society |
| title | On the Dynamics of a Higher-Order Rational Difference Equation |
| title_full | On the Dynamics of a Higher-Order Rational Difference Equation |
| title_fullStr | On the Dynamics of a Higher-Order Rational Difference Equation |
| title_full_unstemmed | On the Dynamics of a Higher-Order Rational Difference Equation |
| title_short | On the Dynamics of a Higher-Order Rational Difference Equation |
| title_sort | on the dynamics of a higher order rational difference equation |
| url | http://dx.doi.org/10.1155/2011/419789 |
| work_keys_str_mv | AT amahmed onthedynamicsofahigherorderrationaldifferenceequation |