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

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Abstract In this work, we study the oscillatory behavior of even-order neutral delay differential equations $\upsilon ^{n}(l)+b(l)u(\eta (l))=0$ υn(l)+b(l)u(η(l))=0 , where $l\geq l_{0}$ l≥l0 , $n\geq 4$ n≥4 is an even integer and $\upsilon =u+a ( u\circ \mu ) $ 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).

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