Аннотация:We study differential-difference equations with matrix coefficients. Sharp estimates are established for strong solutions of systems of differential-difference equations of both neutral and retarded type.
The approach is based on the study of the resolvent corresponding to the generator
of the semigroup of shifts along the trajectories of a dynamical system. In the case
of neutral type equations, the Riesz basis property of the subsystem of exponential
solutions is used.