Qualitative Behavior of Rational Difference Equation of Big Order
We investigate the global convergence, boundedness, and periodicity of solutions of the recursive sequence xn+1=axn-l+bxn-x/c+dxn-lxn-k, n=0,1,…, where the parameters a, b, c, and d are positive real numbers, and the initial conditions x-t,x-t+1,…,x-1 and x0 are positive real numbers where t=maxk,...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/495838 |
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| _version_ | 1832564011090051072 |
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| author | M. M. El-Dessoky |
| author_facet | M. M. El-Dessoky |
| author_sort | M. M. El-Dessoky |
| collection | DOAJ |
| description | We investigate the global convergence, boundedness, and
periodicity of solutions of the recursive sequence xn+1=axn-l+bxn-x/c+dxn-lxn-k, n=0,1,…, where the parameters a, b, c, and d are positive real numbers, and the initial conditions x-t,x-t+1,…,x-1 and x0 are positive real numbers where t=maxk,l. |
| format | Article |
| id | doaj-art-bde844f599b441fb936a81e9d5d69946 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bde844f599b441fb936a81e9d5d699462025-02-03T01:12:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/495838495838Qualitative Behavior of Rational Difference Equation of Big OrderM. M. El-Dessoky0Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe investigate the global convergence, boundedness, and periodicity of solutions of the recursive sequence xn+1=axn-l+bxn-x/c+dxn-lxn-k, n=0,1,…, where the parameters a, b, c, and d are positive real numbers, and the initial conditions x-t,x-t+1,…,x-1 and x0 are positive real numbers where t=maxk,l.http://dx.doi.org/10.1155/2013/495838 |
| spellingShingle | M. M. El-Dessoky Qualitative Behavior of Rational Difference Equation of Big Order Discrete Dynamics in Nature and Society |
| title | Qualitative Behavior of Rational Difference Equation of Big Order |
| title_full | Qualitative Behavior of Rational Difference Equation of Big Order |
| title_fullStr | Qualitative Behavior of Rational Difference Equation of Big Order |
| title_full_unstemmed | Qualitative Behavior of Rational Difference Equation of Big Order |
| title_short | Qualitative Behavior of Rational Difference Equation of Big Order |
| title_sort | qualitative behavior of rational difference equation of big order |
| url | http://dx.doi.org/10.1155/2013/495838 |
| work_keys_str_mv | AT mmeldessoky qualitativebehaviorofrationaldifferenceequationofbigorder |