On the Solutions of Systems of Difference Equations
| Autor: | Muhammet Atalay, Cengiz Çinar, İbrahim Yalçinkaya |
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| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Advances in Difference Equations, Vol 2008 (2008) |
| Druh dokumentu: | article |
| ISSN: | 1687-1839 1687-1847 |
| DOI: | 10.1155/2008/143943 |
| Popis: | We show that every solution of the following system of difference equations xn+1(1)=xn(2)/(xn(2)−1), xn+1(2)=xn(3)/(xn(3)−1),…,xn+1(k)=xn(1)/(xn(1)−1) as well as of the system xn+1(1)=xn(k)/(xn(k)−1), xn+1(2)=xn(1)/(xn(1)−1),…,xn+1(k)=xn(k−1)/(xn(k−1)−1) is periodic with period 2k if k  ≠  0 (mod2), and with period k if k=0 (mod2) where the initial values are nonzero real numbers for x0(1),x0(2),…,x0(k)  ≠  1. |
| Databáze: | Directory of Open Access Journals |
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