On the oscillation of third order neutral delay dynamic equations on time scales

摘要

Han et al. [Z. Han, T. Li, S. Sun, C. Zhang, Oscillation behavior of third order neutral Emden-Fowler delay dynamic equations on time-scales, Adv. Differential Equations 2010 (2010). Article ID 586312, 23 pages] gave some criteria for the oscillation and asymptotic behavior of solutions of the third order neutral delay dynamic equation (r(t) (x(t) - a(t)x (τ(t)))~(△△))~△ + p(t)X~γ(δ(t)) = 0 on a time scale T, where γ > 0 is the quotient of odd positive integers. In this paper, the authors establish some new criteria for the oscillation of this equation that improve and unify those of Han et al.