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Author Country (or Countries)

Pakistan

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.

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