Özet:
In this paper, we deal with the next difference equation
4 5 6
0
1 2 3 4 5 6
, ,
n n n
n
n n n n n n
x x x
x n
x x a bx x x x
where
a b, and the initial conditions
x i
i
, 1,2, ,6 ,
are real numbers. Also, we give
the form of well-defined solution of aforementioned difference equation. Finally, we study the
asymptotic behavior of well-defined solution of this equation by using obtained formulas.