  This paper offers a number of examples showing that in the case of two
independent variables the uniform ellipticity of a linear system of
differential equations with partial derivatives of the second order, which
fulfills condition (3), do not always cause the normal solvability of
formulated exterior elliptic problems in the sense of Noether. Nevertheless,
from the system of differential equations with partial derivatives of elliptic
type it is possible to choose, under certain additional conditions, classes
which are normally solvable in the sense of Noether. This paper also shows that
for the so-called decomposed system of differential equations, with partial
derivatives of an elliptic type in the case of exterior regions, the Noether
theorems are valid.
