In this paper we present a number of results on continuation and uniqueńess of solutions of the n-dimensional system
x
′
(
t
)
=
f
(
t
,
x
(
t
)
)
+
g
(
t
,
x
(
t
−
τ
(
t
)
)
)
x’(t) = f(t,x(t)) + g(t,x(t - \tau (t)))
for
τ
(
t
)
≥
0
\tau (t) \geq 0
. We then give some necessary, some sufficient, and some necessary and sufficient conditions for oscillation of solutions of the second order equation
x
+
a
(
t
)
f
(
x
(
t
−
τ
(
t
)
)
)
=
0
x + a(t)f(x(t - \tau (t))) = 0
.