Well-Defined Solutions of a Three-Dimensional System of Difference Equations
Yıl: 2020 Cilt: 33 Sayı: 3 Sayfa Aralığı: 767 - 778 Metin Dili: İngilizce DOI: 10.35378/gujs.641441 İndeks Tarihi: 29-07-2022
Well-Defined Solutions of a Three-Dimensional System of Difference Equations
Öz: We show that the three-dimensional system of difference equations𝑥𝑛+1 =𝑎𝑥𝑛𝑧𝑛−1𝑧𝑛−𝛽+ 𝛾, 𝑦𝑛+1 =𝑏𝑦𝑛𝑥𝑛−1𝑥𝑛−𝛾+ 𝛼, 𝑧𝑛+1 =𝑐𝑧𝑛𝑦𝑛−1𝑦𝑛−𝛼+ 𝛽 , 𝑛 ∈ 𝑁0 ,where the parameters 𝑎, 𝑏, 𝑐, 𝛼, 𝛽, 𝛾 and the initial conditions 𝑥−𝑖 , 𝑦−𝑖 , 𝑧−𝑖 , 𝑖 ∈ {0,1}, are nonzeroreal numbers, can be solved. Using the obtained formulas, we determine the asymptoticbehavior of solutions and give conditions for which periodic solutions exist. Some numericalexamples are given to demonstrate the theoretical results.
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| APA | kara m, Touafek N, yazlik y (2020). Well-Defined Solutions of a Three-Dimensional System of Difference Equations. , 767 - 778. 10.35378/gujs.641441 |
| Chicago | kara merve,Touafek Nouressadat,yazlik yasin Well-Defined Solutions of a Three-Dimensional System of Difference Equations. (2020): 767 - 778. 10.35378/gujs.641441 |
| MLA | kara merve,Touafek Nouressadat,yazlik yasin Well-Defined Solutions of a Three-Dimensional System of Difference Equations. , 2020, ss.767 - 778. 10.35378/gujs.641441 |
| AMA | kara m,Touafek N,yazlik y Well-Defined Solutions of a Three-Dimensional System of Difference Equations. . 2020; 767 - 778. 10.35378/gujs.641441 |
| Vancouver | kara m,Touafek N,yazlik y Well-Defined Solutions of a Three-Dimensional System of Difference Equations. . 2020; 767 - 778. 10.35378/gujs.641441 |
| IEEE | kara m,Touafek N,yazlik y "Well-Defined Solutions of a Three-Dimensional System of Difference Equations." , ss.767 - 778, 2020. 10.35378/gujs.641441 |
| ISNAD | kara, merve vd. "Well-Defined Solutions of a Three-Dimensional System of Difference Equations". (2020), 767-778. https://doi.org/10.35378/gujs.641441 |
| APA | kara m, Touafek N, yazlik y (2020). Well-Defined Solutions of a Three-Dimensional System of Difference Equations. Gazi University Journal of Science, 33(3), 767 - 778. 10.35378/gujs.641441 |
| Chicago | kara merve,Touafek Nouressadat,yazlik yasin Well-Defined Solutions of a Three-Dimensional System of Difference Equations. Gazi University Journal of Science 33, no.3 (2020): 767 - 778. 10.35378/gujs.641441 |
| MLA | kara merve,Touafek Nouressadat,yazlik yasin Well-Defined Solutions of a Three-Dimensional System of Difference Equations. Gazi University Journal of Science, vol.33, no.3, 2020, ss.767 - 778. 10.35378/gujs.641441 |
| AMA | kara m,Touafek N,yazlik y Well-Defined Solutions of a Three-Dimensional System of Difference Equations. Gazi University Journal of Science. 2020; 33(3): 767 - 778. 10.35378/gujs.641441 |
| Vancouver | kara m,Touafek N,yazlik y Well-Defined Solutions of a Three-Dimensional System of Difference Equations. Gazi University Journal of Science. 2020; 33(3): 767 - 778. 10.35378/gujs.641441 |
| IEEE | kara m,Touafek N,yazlik y "Well-Defined Solutions of a Three-Dimensional System of Difference Equations." Gazi University Journal of Science, 33, ss.767 - 778, 2020. 10.35378/gujs.641441 |
| ISNAD | kara, merve vd. "Well-Defined Solutions of a Three-Dimensional System of Difference Equations". Gazi University Journal of Science 33/3 (2020), 767-778. https://doi.org/10.35378/gujs.641441 |
