- Ikonion Journal of Mathematics
- Vol: 2 Issue: 2
- ON THE PERIODICITY OF SOLUTIONS OF A SYSTEM OF RATIONAL DIFFERENCE EQUATIONS
ON THE PERIODICITY OF SOLUTIONS OF A SYSTEM OF RATIONAL DIFFERENCE EQUATIONS
Authors : Abdullah Kurbanli, Çağla Yalçinkaya
Pages : 1-8
View : 11 | Download : 4
Publication Date : 2020-10-30
Article Type : Research
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.Keywords : Difference equation, , , system, , solutions, , periodicity.