Department of Mathematics, Faculty of Science, University of Žilina, 010 26 Žilina, Slovakia
Copyright © 2010 Alexandr Boichuk et al. This is an open access article distributed under the
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We consider the problem of existence and structure of solutions bounded on the
entire real axis of nonhomogeneous linear impulsive differential systems. Under assumption
that the corresponding homogeneous system is exponentially dichotomous on the semiaxes and and by using the theory of pseudoinverse matrices, we establish necessary and
sufficient conditions for the indicated problem.