On the fuzzy difference equation x_n = F(x_(n-1),x_(n-k))

摘要

In this paper, we study the global asymptotic behavior of the positive solutions of the following fuzzy difference equationx(n) = F(x(n-1), x(n-k)), n is an element of {0, 1, ...},under appropriate assumptions, where k is an element of {1, 2, ...} and the initial values x(-k), x(-k+1), ..., x(-1) are positive fuzzy numbers. We give sufficient conditions under which every positive solution of the above equation converges to a positive equilibrium. (C) 2019 Elsevier B.V. All rights reserved.