School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China. E-mail: xztxhyyj@pub.guangzhou.gd.cn
AMS subject classification: 34K40, 34K11, 34C10.
By using averaging functions, some interval oscillation criteria are established for the second order neutral differential equation with disturbed deviating argument where Z(t) = x(t) + p(t)x(t − τ). These results obtained here are different from most known ones in the sense that they are based on information only on a sequence of subintervals of [t0, ∞), rather than on the whole halfline. Several examples are given to illustrate the importance of our main results.
Oscillation, neutral differential equations, disturbed deviating argument, second order equation
