Dichotomy on Semiaxes and the Solutions of Linear Systems with Delay Bounded on the Entire Axis.
A Boichuk, V Zhuravlev - Journal of Mathematical Sciences, 2017 - search.ebscohost.com
Journal of Mathematical Sciences, 2017•search.ebscohost.com
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.
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.
Abstract
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.
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