On the solutions of systems of difference equations
Advances in Difference Equations, cilt.2008, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2008
- Basım Tarihi: 2008
- Doi Numarası: 10.1155/2008/143943
- Dergi Adı: Advances in Difference Equations
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Kırklareli Üniversitesi Adresli: Evet
Özet
We show that every solution of the following systemof 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.