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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Hindawi Limited
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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doaj-f5a7c8b07c0c4d73b2967f0f56bb1c322020-12-28T01:31:19ZengHindawi LimitedJournal of Mathematics2314-47852020-01-01202010.1155/2020/6636105Periodic Solutions of a System of Nonlinear Difference Equations with Periodic CoefficientsDurhasan Turgut Tollu0Necmettin Erbakan UniversityThis 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Durhasan Turgut Tollu |
| spellingShingle |
Durhasan Turgut Tollu Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients Journal of Mathematics |
| author_facet |
Durhasan Turgut Tollu |
| author_sort |
Durhasan Turgut Tollu |
| title |
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_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_sort |
periodic solutions of a system of nonlinear difference equations with periodic coefficients |
| publisher |
Hindawi Limited |
| series |
Journal of Mathematics |
| issn |
2314-4785 |
| publishDate |
2020-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2020/6636105 |
| work_keys_str_mv |
AT durhasanturguttollu periodicsolutionsofasystemofnonlineardifferenceequationswithperiodiccoefficients |
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1714981060875386880 |