New oscillation criteria for differential equations with sublinear and superlinear neutral terms

Abstract

The aim of this article is to establish some new oscillation criteria for the differential equation of even-orderof the form(r (l) (y(n−1) (l))α)′ + f(l, x(τ (l))) = 0,where y (l) = x (l) + p (l) xβ(σ1 (l)) + h (l) xδ(σ2 (l)). By using Riccati transformations, we present new conditions foroscillation of the studied equation. Furthermore, two illustrative examples showing applicability of the new results areincluded.