New oscillation theorems for a class of even-order neutral delay differential equations.

In this work, we study the oscillatory behavior of even-order neutral delay differential equations υ n (l) + b (l) u (η (l)) = 0 , where l ≥ l 0 , n ≥ 4 is an even integer and υ = u + a (u ∘ μ) . By deducing a new iterative relationship between the solution and the corresponding function, new oscillation criteria are established that improve those reported in (T. Li, Yu.V. Rogovchenko in Appl. Math. Lett. 61:35–41, 2016). [ABSTRACT FROM AUTHOR]