Oscillatory behavior of second order nonlinear neutral differential equations with distributed deviating arguments

摘要

In this article, we shall consider second order nonlinear neutral differential equation of certain type. Some oscillation criteria are established for second-order neutral differential equation of the form [r(t)|z′(t)|γ−1z′(t)]′+∫cdf(t,x(σ(t,ξ)))dξ=0,where z(t)=x(t)+∫abp(t,ξ)x(τ(t,ξ))dξ. An example is given to show the applicability of our results.