On the Solutions of a System of Third-Order Rational Difference Equations
The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion,...
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| Main Authors: | , , |
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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/10.1155/2018/1743540 |
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| _version_ | 1832552189509238784 |
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| author | A. M. Alotaibi M. S. M. Noorani M. A. El-Moneam |
| author_facet | A. M. Alotaibi M. S. M. Noorani M. A. El-Moneam |
| author_sort | A. M. Alotaibi |
| collection | DOAJ |
| description | The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion, some numerical examples are presented. |
| format | Article |
| id | doaj-art-e6bd4df3fd704556ad4cc2a748cc097b |
| 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-e6bd4df3fd704556ad4cc2a748cc097b2025-02-03T05:59:25ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/17435401743540On the Solutions of a System of Third-Order Rational Difference EquationsA. M. Alotaibi0M. S. M. Noorani1M. A. El-Moneam2School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi, Selangor, MalaysiaMathematics Department, Faculty of Science, Jazan University, Jazan, Saudi ArabiaThe structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion, some numerical examples are presented.http://dx.doi.org/10.1155/2018/1743540 |
| spellingShingle | A. M. Alotaibi M. S. M. Noorani M. A. El-Moneam On the Solutions of a System of Third-Order Rational Difference Equations Discrete Dynamics in Nature and Society |
| title | On the Solutions of a System of Third-Order Rational Difference Equations |
| title_full | On the Solutions of a System of Third-Order Rational Difference Equations |
| title_fullStr | On the Solutions of a System of Third-Order Rational Difference Equations |
| title_full_unstemmed | On the Solutions of a System of Third-Order Rational Difference Equations |
| title_short | On the Solutions of a System of Third-Order Rational Difference Equations |
| title_sort | on the solutions of a system of third order rational difference equations |
| url | http://dx.doi.org/10.1155/2018/1743540 |
| work_keys_str_mv | AT amalotaibi onthesolutionsofasystemofthirdorderrationaldifferenceequations AT msmnoorani onthesolutionsofasystemofthirdorderrationaldifferenceequations AT maelmoneam onthesolutionsofasystemofthirdorderrationaldifferenceequations |