Abstract
In this article we study the global convergence result, boundedness, and periodicity of solutions of the difference equation
x
n
+
1
=
a
x
n
-
s
+
b
x
n
-
l
+
c
x
n
-
k
d
x
n
-
l
+
e
x
n
-
k
n
=
0
,
1
,
…
,
where the parameters
a
,
b
,
c
,
d
and
e
are positive real numbers and the initial conditions
x
-
t
,
x
-t
+1
, . . . ,
x
-1
and
x
0
are positive real numbers where
t
= max{
s
,
l
,
k
}.
Mathematics Subject Classification:
39A10.