Analysis of Qualitative Behavior of Fifth Order Difference Equations

Abstract

The main aim of this paper is to investigate the stability, global attractivity and periodic nature of the solutions of the difference equationsThe main aim of this paper is to investigate the stability, global attractivity and periodic nature of the solutions of the difference equations x_{n+1}=ax_{n-1}±((bx_{n-1}x_{n-2})/(cx_{n-2}±dx_{n-4})),    n=0,1,2,..., where the initial conditions x₋₄, x₋₃ ,x₋₂, x₋₁ and x₀ are arbitrary positive real numbers and a, b, c, d are constants

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