In this paper, we study the behavior of the difference equation xₙ₊₁=axₙ+bxₙxₙ₋₁cxₙ₋₁+dxₙ₋₂,~n=0,1,…, where the initial conditions x₋₂,\ x₋₁,\ x₀ are arbitrary positive real numbers and $a,b,c,d$ are positive constants. Also, we give the solution of some special cases of this equation.
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Elsayed et al. (2020) studied this question.
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