Dichotomy on Semiaxes and the Solutions of Linear Systems with Delay Bounded on the Entire Axis

Аннотация

By using the theory of generalized inverse operators, we obtain a criterion for the existence and the general form of solutions of linear inhomogeneous functional-differential systems with delay bounded on the entire real axis in the case where the corresponding homogeneous system with delay is exponentially dichotomous on the semiaxes.