Abstract:
The stability of the uniform correctness of the Cauchy problem
$$
\begin{gathered}
u''(t)+\frac ktu'(t)=\mathbb Au(t),\qquad
t>0,\qquad u(0)=u_0,\qquad u'(0)=0
\end{gathered}
$$
for $k>0$ with respect to perturbations of the operator $\mathbb A$ is studied.