On the oscillatory behavior of even order neutral delay dynamic equations on time-scales

Abstract

We establish some new criteria for the oscillation of the even order neutral dynamic equation on a time scale T, where n ≥ 2 is even, α and λ are ratios of odd positive integers, a, p and q are real valued positive rd-continuous functions defined on T, and g and τ are real valued rd-continuous functions on T. Examples illustrating the results are included.