Oscillation of second-order nonlinear neutral dynamic equations on time scales with distributed deviating arguments

This article is concerned with oscillation of second-order neutral dynamic equations with distributed deviating arguments of the form (r(t)((y(t)+p(t)y(τ(t)))Δ)γ)Δ+∫cdf(t,y(θ(t,ξ)))Δξ=0, where γ>0γ>0 is a ratio of odd positive integers with r(t)r(t) and p(t)p(t) real-valued rd-continuous positive functions defined on TT. We establish some new oscillation criteria and give sufficient conditions to insure that all solutions of nonlinear neutral dynamic equation are oscillatory on a time scale TT.