On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]

Authors : Dağıstan ŞİMŞEK, Burak OĞUL

Pages : 147-156

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Publication Date : 2019-12-25

Article Type : Research Paper

Abstract :The behaivour of the solutions of the following system of difference equations is examined, xinsert ignore into journalissuearticles values(n+1);=xinsert ignore into journalissuearticles values(n-20);/[1+xinsert ignore into journalissuearticles values(n-2);xinsert ignore into journalissuearticles values(n-5);xinsert ignore into journalissuearticles values(n-8);xinsert ignore into journalissuearticles values(n-11);xinsert ignore into journalissuearticles values(n-14);xinsert ignore into journalissuearticles values(n-17);]  where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations. 
Keywords : Difference equation, rational difference equation, period 21 solutions