Oscillations of high order neutral differential equations with oscillatory coefficient (Q1179496)

Sufficient conditions are obtained for the oscillation of all solutions of a class of \(n\)-th order neutral functional differential equations of the form \((y(t)+p(t)y(h(t)))^{(n)}+q(t)y(g(t))=0\), where \(p,q,h\) and \(g\in C([t_ 0,\infty),R)\) such that \(q(t)>0\), \(h(t)\to\infty\), \(g(t)\to\infty\) as \(t\to\infty\) and \(n\geq 2\). Here the coefficient \(p(t)\) is assumed to be oscillatory. Examples are given to illustrate the results.