Abstract
The aim of this article is to establish some new oscillation criteria for the differential equation of even-order of the form
(r (l) (y((n-1)) (l))(alpha))' + f (l, x(tau(l))) = 0,
where y (l) = x (l) + p (l) x(beta) (sigma(1) (l)) + h (l) x(delta) (tau (l)). By using Riccati transformations, we present new conditions for oscillation of the studied equation. Furthermore, two illustrative examples showing applicability of the new results are included.