- MANAS Journal of Engineering
- Vol: 7 Issue: 2
- 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)]
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 Şimşek, Burak Oğul
Pages : 147-156
View : 15 | Download : 7
Publication Date : 2019-12-25
Article Type : Research
Abstract :The behaivour of the solutions of the following system of difference equations is examined, 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)] 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