The purpose of this paper is to give the conditions for the existence and uniqueness of positive solutions and the asymptotic stability of equilibrium points for the following high-order fuzzy difference equation: where is the sequence of positive fuzzy numbers and the parameters and initial conditions are positive fuzzy numbers. Besides, some numerical examples describing the fuzzy difference equation are given to illustrate the theoretical results.

中文翻译：

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一类高阶模糊差分方程的动力学行为

本文的目的是为以下高阶模糊差分方程提供正解的存在性和唯一性以及平衡点的渐近稳定性的条件： 正模糊数的序列，参数和初始条件在哪里是正模糊数。此外，给出了一些描述模糊差分方程的数值例子，以说明理论结果。