Boundedness and asymptotic behavior of the solutions of a fuzzy difference equation
In this paper we study the existence, the uniqueness, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation x(n+1) = Sigma(i=0)(k) A(i)/x(n-i)(pi), where k is an element of {1, 2,..., }, A(i), i is an element of {0,1, ..., k}, are positive fuzzy numbers, p(i), i is an element of {0,1,...,k}, are positive constants and x(i), i is an element of {-k, -k + 1,...,0}, are positive fuzzy numbers. (C) 2003 Elsevier B.V. All rights reserved.
boundedness asymptotic behavior fuzzy difference equations fuzzy number persistence stability a-cuts