Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation
The main objective of this paper is to study the behavior of the rational difference equation of the fifth-order yn+1=αyn+βynyn-3/(Ayn-4+Byn-3), n=0,1,…, where α,β,A, and B are real numbers and the initial conditions y-4,y-3,y-2,y-1 and y0 are positive real numbers such that Ay-4+By-3≠0. Also, we ob...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/9129354 |
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| author | M. M. El-Dessoky E. M. Elabbasy Asim Asiri |
| author_facet | M. M. El-Dessoky E. M. Elabbasy Asim Asiri |
| author_sort | M. M. El-Dessoky |
| collection | DOAJ |
| description | The main objective of this paper is to study the behavior of the rational difference equation of the fifth-order yn+1=αyn+βynyn-3/(Ayn-4+Byn-3), n=0,1,…, where α,β,A, and B are real numbers and the initial conditions y-4,y-3,y-2,y-1 and y0 are positive real numbers such that Ay-4+By-3≠0. Also, we obtain the solution of some special cases of this equation. |
| format | Article |
| id | doaj-art-95627ea1798e4146bca8f6403a86204f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-95627ea1798e4146bca8f6403a86204f2025-02-03T01:11:33ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/91293549129354Dynamics and Solutions of a Fifth-Order Nonlinear Difference EquationM. M. El-Dessoky0E. M. Elabbasy1Asim Asiri2King Abdulaziz University, Faculty of Science, Mathematics Department, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptKing Abdulaziz University, Faculty of Science, Mathematics Department, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe main objective of this paper is to study the behavior of the rational difference equation of the fifth-order yn+1=αyn+βynyn-3/(Ayn-4+Byn-3), n=0,1,…, where α,β,A, and B are real numbers and the initial conditions y-4,y-3,y-2,y-1 and y0 are positive real numbers such that Ay-4+By-3≠0. Also, we obtain the solution of some special cases of this equation.http://dx.doi.org/10.1155/2018/9129354 |
| spellingShingle | M. M. El-Dessoky E. M. Elabbasy Asim Asiri Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation Discrete Dynamics in Nature and Society |
| title | Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation |
| title_full | Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation |
| title_fullStr | Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation |
| title_full_unstemmed | Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation |
| title_short | Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation |
| title_sort | dynamics and solutions of a fifth order nonlinear difference equation |
| url | http://dx.doi.org/10.1155/2018/9129354 |
| work_keys_str_mv | AT mmeldessoky dynamicsandsolutionsofafifthordernonlineardifferenceequation AT emelabbasy dynamicsandsolutionsofafifthordernonlineardifferenceequation AT asimasiri dynamicsandsolutionsofafifthordernonlineardifferenceequation |