In
we consider the problem
where
,
,
,
and
are sufficiently smooth functions,
has only isolated zeros on
, and
does not have zeros on
. It is assumed that in
,
, there exists a solution
of problem (1)-(3), where
,
for
, and
. It is shown that
and
, and that if
, there are not even continuous generalized solutions of problem (1)-(3) in
for any
,
. For
the author introduces a definition and establishes existence and uniqueness theorems for the discontinuous solution of (1)-(3) in
. Bibliography: 9 items.