| |
|
|
|
On the Dichotomy of Non-Autonomous Systems Over Finite Dimensional Spaces |
|
|
|
PP: 1941-1946 |
|
|
|
Author(s) |
|
|
|
Akbar Zada,
Sadia Arshad,
Gul Rahmat,
Aftab Khan,
|
|
|
|
Abstract |
|
|
| In this article we study the dichotomy of the q periodic system ˙X (t) = A(t)X(t) in terms of the boundedness of the solutions
of the following Cauchy problems
˙X
(t) = A(t)X(t)+eimtPb, t ≥ 0
X(0) = 0,
and
˙X
(t) = −X(t)A(t)+eimt (I−P)b, t ≥ 0
X(0) = 0,
where A(t) is a square size matrix of order m, m is any real number, b is a non zero vector in Cm and P is an orthogonal projection. |
|
|
|
|
 |
|
