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) +e iµtPb, t ≥ 0 X(0) = 0, and } X˙(t) = −X(t)A(t) +e iµt (I −P)b, t ≥ 0 X(0) = 0, where A(t) is a square size matrix of order m, µ is any real number, b is a non zero vector in C m and P is an orthogonal projection.
Suggested Reviewers
N/A
Recommended Citation
Zada, Akbar; Arshad, Sadia; Rahmat, Gul; and Khan, Aftab
(2015)
"On the Dichotomy of Non-Autonomous Systems Over Finite Dimensional Spaces,"
Applied Mathematics & Information Sciences: Vol. 09
:
Iss.
4
, Article 33.
Available at:
https://dc.naturalspublishing.com/amis/vol09/iss4/33