Sgibnev M. S.
          An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder 
        We obtain an asymptotic  expansion of the solution to a system of first order integrodifferential  equations taking into account the influence of the roots of the characteristic  equation. We establish exact asymptotics for the remainder in dependence on the  asymptotic properties of original functions.