  We study the one-dimensional nonlocal elliptic equation of Kirchhoff type
with oscillatory nonlinear term. We establish the precise asymptotic formulas
for the bifurcation curves $\lambda(\alpha)$ as $\alpha \to \infty$ and $\alpha
\to 0$, where $\alpha:= \Vert u_\lambda\Vert_\infty$ and $u_\lambda$ is the
solution associated with $\lambda$. We show that the second term of
$\lambda(\alpha)$ is oscillatory as $\alpha \to \infty$.
