| Contents |
| We investigate the singular second-order ordinary differential equation
\begin{equation}\label{pq}
(p(t)u'(t))'+q(t)f(u(t))=0
\end{equation}
on the half-line $[0,\infty)$. Here $p$, $q$ are continuous on $[0,\infty)$ and positive on $(0,\infty)$. In addition, $p(0)=0$ which yields the singularity at $t=0$. Function $f$ is continuous on $\mathbb{R}$ and has three zeros $L_0$, $0$, $L$ such that $L_0 |
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