AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS

Abstract

The main purpose of this work is to investigate the solutions, the periodic character and study the global asymptotic behavior of this so- lutions of the following rational di↵erence equation x_(n+1) = x_(n-2)*x_(n-6) / x_(n-3)*(±1 ± x_(n-2)*x_(n-6)) with a non-zero real numbers initial conditions.