Oscillation criteria in neutral equations ofnorder with variable coefficients

Abstract

Consider then-order neutral delay differential equationdndtn[y(t)+P(t)y(t−τ)]+Q(t)y(t−σ)=0whereP,Q∈C[[t0,∞),ℝ]and the delaysτandσare nonnegative real numbers. In this paper we examined the oscillatory behavior of the solutions of the above equation using techniques which allow the relaxation of the restrictions which has been introduced previously. We illustrate new type of conditions which improve and extend known results, by relaxing hypotheses thatPis constant andQisτ-periodic.