Аннотация:
In this article, we investigate the oscillation behavior of the solutions of the third-order nonlinear differential equation with neural type of the form $$
\Big(a_{1}(t)\big(a_{2}(t)Z^{\prime}(t)\big)^{\prime}\Big)^{\prime}
+ q(t) f\big(x(\sigma(t))\big) = 0, \quad t\geq t_0 > 0,
$$
where $Z(t) := x(t)+p(t)x^{\alpha}(\tau(t))$. Some new oscillation results are presented that extend those results given in the literature.
Ключевые слова:Oscillation, Non-linear, Neutral differential equation, Third order.