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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 &#x211D;&#x2212; and &#x211D;+ and by using the theory of pseudoinverse matrices, we establish necessary and sufficient conditions for the indicated problem

Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis