Oscillatory Behaviour of Higher Order Neutral Differential Equations with Several Delays and with a Super Linear Term

Abstract

This article, is concerned with finding sufficient conditions for the oscillatory and asymptotic behaviour of solutions of the higher order neutral delay differential equationwhere, n ≥ 2, is any positive integer,The functional delays r j (t) ≤ t for each j and g(t) ≤ t, h(t) ≤ t and all of them approach ∞ as t → ∞.The results hold when u ≡ 0 and f (t) ≡ 0. This paper extends, generalizes and improves some known results and answers an open problem.