Affiliation:
1. Department of Mathematics , Howard University , Washington , DC 20059
Abstract
Abstract
The paper studies the existence of almost periodic solutions to some nonautonomous higher-order stochastic difference equation of the form:
X
(
t
+
n
)
+
∑
r
=
1
n
-
1
A
r
(
t
)
X
(
t
+
r
)
+
A
0
(
t
)
X
(
t
)
=
f
(
t
,
X
(
t
)
)
,
X\left( {t + n} \right) + \sum\limits_{r = 1}^{n - 1} {{A_r}\left( t \right)X\left( {t + r} \right) + {A_0}\left( t \right)X\left( t \right) = f\left( {t,X\left( t \right)} \right),}
n ∈ , by means of discrete dichotomy techniques.
Subject
Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis