Oscillation theory of higher order linear functional differential equations of neutral type (Q584494)

The paper derives several theorems concerning the oscillatory (and nonoscillatory) behavior of proper solutions of neutral linear functional differential equations of the type \[ \frac{d^ n}{dt^ n}[x(t)- h(t)x(\tau (t))]+\sigma \sum^{n}_{i=1}p_ i(t)x(g_ i(t))=0 \] where \(n\geq 2\) and \(\sigma =1\) or -1. The work extends a Ruan's result of second order equations to n-th order equations. The last section contains criteria for oscillation of all proper solutions. The bibliography includes 15 papers.