Oscillation of second order neutral equations with distributed deviating argument

摘要

Oscillation criteria are established for the second order neutral delay differential equation with distributed deviating argument(r(t)ψ(x(t))Z′(t))′+∫abq(t,ξ)f[x(g(t,ξ))]dσ(ξ)=0,t⩾t0,where Z(t)=x(t)+p(t)x(t-τ). These results are extensions of the integral averaging techniques due to Coles and Kamenev, and improve some known oscillation criteria in the existing literature.