ABSTRACT
Abstract In this paper we study the existence, the uniqueness, the boundedness, and the asymptotic dehavior of the positive solutions of the following fuzzy difference equation
xn+1 =
A+ k∑ i=0
aixn−i
B + k∑ i=0
bixn−i
, n = 0, 1, . . . ,
where k ∈ {1, 2, . . .}, A,B, ai, bi, i ∈ {0, 1, . . . , k} are positive fuzzy numbers and xi, i ∈ {−k,−k + 1, . . . , 0} are positive fuzzy numbers. Keywords Fuzzy difference equations, boundedness, persistence, asymptotic dehavior, fuzzy number, a-cuts
The various applications of difference equations in applied sciences and espesially in computer sciences have, as an anticipated effect, the progress of the theory of difference equations (for the detailed study of difference equations see [1]).
