Dynamic Behavior of a Fourth-Order Nonlinear Fuzzy Difference Equation

Abstract

In this paper we investigate the existence, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation w_{n+1}=((Aw_{n-1})/(B+Cw_{n-3}^{p})), n∈ℕ₀, where (w_{n}) is a sequence of positive fuzzy numbers, the parameters A, B, C and the initial conditions w₋₃, w₋₂, w₋₁, w₀ are positive fuzzy numbers and p is a positive integer.

Keywords

• Asymptotic behavior
• α-cuts
• Boundedness
• Fuzzy difference equation
• Fuzzy number
• Stability

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