T. Chantladze, N. Kandelaki, and A. Lomtatidze
abstract:
In the present paper we consider the equation
$$ u''=p(t)|u|^\al|u'|^{1-\al}\sgn u, $$
where $\al\in ]0,1]$, the function $p:]a,b[\to R$ is locally integrable, and
$\int_a^b(s-a)^\al(b-s)^\al|p(s)|ds<+\infty$. Sufficient conditions for the
existence of a solution having at least two zeros on the segment $[a,b]$ are
established.
Mathematics Subject Classification: 34C10, 34K15, 34K25.
Key words and phrases: second order singular half-linear equation, proper solutions, number of zero points.