Global Dynamical Behaviours and Periodicity of a Certain Quadratic-Rational Difference Equation with Delay
Abstract
Our aim in this paper is to deal with the dynamics of following higher order difference equation xn+1=A+B((xn-m)/(xn2)) where A,B>0, and initial values are positive, and m=1,2,.... Furthermore, we discuss the periodicity, boundedness, semi-cycles, global asymptotic stability of solutions of these equations. We also handle the rate of convergence of solutions of these difference equations.
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