Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients
This paper is dealt with the following system of difference equations xn+1=an/xn+bn/yn,yn+1=cn/xn+dn/yn, where n∈ℕ0=ℕ∪0, the initial values x0 and y0 are the positive real numbers, and the sequences ann≥0, bnn≥0, cnn≥0, and dnn≥0 are two-periodic and positive. The system is an extension of a system...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6636105 |
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| _version_ | 1832561190661783552 |
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| author | Durhasan Turgut Tollu |
| author_facet | Durhasan Turgut Tollu |
| author_sort | Durhasan Turgut Tollu |
| collection | DOAJ |
| description | This paper is dealt with the following system of difference equations xn+1=an/xn+bn/yn,yn+1=cn/xn+dn/yn, where n∈ℕ0=ℕ∪0, the initial values x0 and y0 are the positive real numbers, and the sequences ann≥0, bnn≥0, cnn≥0, and dnn≥0 are two-periodic and positive. The system is an extension of a system where every positive solution is two-periodic or converges to a two-periodic solution. Here, the long-term behavior of positive solutions of the system is examined by using a new method to solve the system. |
| format | Article |
| id | doaj-art-f5a7c8b07c0c4d73b2967f0f56bb1c32 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f5a7c8b07c0c4d73b2967f0f56bb1c322025-02-03T01:25:47ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/66361056636105Periodic Solutions of a System of Nonlinear Difference Equations with Periodic CoefficientsDurhasan Turgut Tollu0Necmettin Erbakan University, Faculty of Science, Department of Mathematics and Computer Sciences, Konya, TurkeyThis paper is dealt with the following system of difference equations xn+1=an/xn+bn/yn,yn+1=cn/xn+dn/yn, where n∈ℕ0=ℕ∪0, the initial values x0 and y0 are the positive real numbers, and the sequences ann≥0, bnn≥0, cnn≥0, and dnn≥0 are two-periodic and positive. The system is an extension of a system where every positive solution is two-periodic or converges to a two-periodic solution. Here, the long-term behavior of positive solutions of the system is examined by using a new method to solve the system.http://dx.doi.org/10.1155/2020/6636105 |
| spellingShingle | Durhasan Turgut Tollu Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients Journal of Mathematics |
| title | Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients |
| title_full | Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients |
| title_fullStr | Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients |
| title_full_unstemmed | Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients |
| title_short | Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients |
| title_sort | periodic solutions of a system of nonlinear difference equations with periodic coefficients |
| url | http://dx.doi.org/10.1155/2020/6636105 |
| work_keys_str_mv | AT durhasanturguttollu periodicsolutionsofasystemofnonlineardifferenceequationswithperiodiccoefficients |