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Qualitative Analysis of a Fourth Order Difference Equation
HAZA SALEH ALSHAREEF
Keywords:stability, periodicity, global attractor, boundedness, difference equations
Abstract:
      In this paper, we will investigate some qualitative behavior of solutions of the following fourth order difference equation x_{n+1}=ax_{n-1}+((bx_{n-1})/(cx_{n-1}-dx_{n-3})), n=0,1,..., where the initial conditions x_{-3,}x₋₂, x₋₁ and x₀ are arbitrary real numbers and the values a, b, c andd are defined as positive real numbers.