ON THE PERIODICITY OF SOLUTIONS OF A SYSTEM OF RATIONAL DIFFERENCE EQUATIONS

Year 2020, Volume: 2 Issue: 2, 1 - 8, 30.10.2020

Abdullah Kurbanlı , Çağla Yalçınkaya

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.

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