Oscillatory properties of some neutral forced functional-differential inequalities and its application. (Chinese. English summary) Zbl 0955.34052
Summary: The authors discuss oscillatory properties of the following higher-order neutral forced functional-differential inequalities
\[
[x(t)+ p(t) x(t- \tau)]^{(n)}+ f(t, x(g(t)))\leq (\geq) H(t),\quad n\text{ is even} .\tag{\(*\)}
\]
A group of sufficient conditions are established for an equation corresponding to \((*)\) and for certain slightly generalized form of the equation. Two examples are given and proved.
MSC:
34K11 | Oscillation theory of functional-differential equations |
34K40 | Neutral functional-differential equations |