Subject to given boundary data, nonexistence of solution to the one-dimensional Kirchhoff-like equation
−
M
(
(
a
∗
|
u
|
q
)
(
1
)
)
u
(
t
)
=
λ
f
(
t
,
u
(
t
)
)
,
0
>
t
>
1
\begin{equation*} -M\Big (\big (a*|u|^q\big )(1)\Big )u(t)=\lambda f\big (t,u(t)\big ),\ 0>t>1 \end{equation*}
is considered. In particular, a condition is provided on the parameter
λ
\lambda
such that for each
λ
>
λ
0
\lambda >\lambda _0
, where
λ
0
\lambda _0
is defined in terms of initial data, the boundary value problem has no nontrivial positive solution.