MMN-4596
Properties of second order differential equations with advanced and delay argument
Blanka Baculikova;Abstract
In the paper, we study the bounded and unbounded oscillation of the second-order differential equations with deviating argument of the form
\begin{equation*}
y''(t)=p(t)y(\tau(t)).
\end{equation*}
We introduce new monotonicities for the nonoscillatory solutions and apply them to offer new criteria for elimination of certain types of solutions.
The presented results will be supported by set of examples to confirm our achieved progress in the oscillation theory.
Vol. 26 (2025), No. 1, pp. 51-60