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Dynamics of a high-order nonlinear fuzzy difference equation
chang you wang,Jiahui Li,Lili Jia
Keywords:fuzzy difference equation, boundedness, equilibrium point, asymptotic behavior.
Abstract:
      This paper is concerned with a high-order nonlinear fuzzy difference system where the parameters and the initial conditions are positive fuzzy numbers. More accurately, our main purpose is to study the existence and uniqueness of the positive solutions, the boundedness of the positive solutions, the instability, local asymptotic stability and global asymptotic stability of the equilibrium points for the above equation by using the iteration method, the inequality skills, the mathematical induction, and the monotone boundedness theorem. Moreover, some numerical examples to the difference system are given to verify our theoretical results.