Аннотация:Let $y(t,x;y_0)$ be a solution to the semilinear parabolic
equation of normal type generated by the 3D Helmholtz system
with periodic boundary conditions and arbitrary initial datum
$y_0(x)$. The problem of stabilization to zero of the solution
$y(t,x;y_0)$ by starting control is studied. This problem is
reduced to establishing three inequalities connected with starting
control, one of which has been proved in \cite{F5}, \cite{FSh}.
The proof for the other two is given here.