The aim of the present article is to investigate of solutions stability of linear autonomous differential equations with retarded argument. The investigation of stability can be reduced to
the root location problem for the characteristic equation. For the linear differential equation with several delays  it is obtained the necessary and sufficient conditions, for all
the roots of the characteristic equation to have negative real part (and hence the
zero solution to be asymptotically stable). For the scalar delay differential equation
$$
\frac{dz}{dt}=c z(t) + a_1 z(t-1) + a_2 z(t-2) + ... + a_n z(t-n)
$$
with fixed $c$, $c \in \mathbb{R}$, $a_k \in \mathbb{R}$, $1 \leq k \leq n$,
stability domains in the parameter plane are obtained. We investigate the boundedness conditions and construct a domain of stability for linear autonomous differential equation with several delays. We use D-partition method, argument principle and numerical methods to
construct of stability domains.

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