On a nonlinear fuzzy difference equation
Özet
In this paper we investigate the existence, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation
z
n
+
1
=
A
z
n
−
1
1
+
z
p
n
−
2
,
n
∈
N
0
z
n+1
=
1+z
n−2
p
Az
n−1
, n∈N
0
where
(
z
n
)
is a sequence of positive fuzzy numbers,
A
and the initial conditions
z
−
j
(
j
=
0
,
1
,
2
)
are positive fuzzy numbers and
p
is a positive integer.