Journals / Ikonion Journal of Mathematics / 2020 / Cilt: 2 - Sayı: 2
ON THE PERIODICITY OF SOLUTIONS OF A SYSTEM OF RATIONAL DIFFERENCE EQUATIONS
- Pages
- 1–8
- DOI
- —
Abstract
In this paper, we have investigated the periodicity of the well-defined solutions of the system of difference equations u(n+1)=(u(n-1)+v(n))/(alpha*(u(n-1)*v(n)-1) , v(n+1)=(v(n-1)+u(n))/(alpha*(v(n-1)*u(n)-1), w(n+1)=u(n)/v(n) where u(0), u(-1), v(0), v(-1), w(0), w(-1) non zore reel numbers and alpha positive reel numbers. In this paper, we have investigated the periodicity of the well-defined solutions of the system of difference equations u(n+1)=(u(n-1)+v(n))/(alpha*(u(n-1)*v(n)-1) , v(n+1)=(v(n-1)+u(n))/(alpha*(v(n-1)*u(n)-1), w(n+1)=u(n)/v(n) where u(0), u(-1), v(0), v(-1), w(0), w(-1) non zore reel numbers and alpha positive reel numbers.