On the Solutions of Systems of Difference Equations via Tribonacci Numbers

Abstract

The main objective of this paper is to investigate the explicit form, stability character and global behavior of solutions of the following two systems of rational difference equations xn+1=((+(-)1)/(yn(xn-1+(-)1)+1)), yn+1=((+(-)1)/(xn(yn-1+(-)1)+1)), n=0,1,... such that their solutions are associated with Tribonacci numbers.

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