Oscillatory of third-order neutral differential equations with continuously distributed mixed arguments

Abstract

It is the purpose of this paper to give oscillation criteria for the third-order neutral differential equation with continuously distributed mixed arguments, where ? > 0 is a quotient of odd positive integers. By using a generalized Riccati transformation and integral averaging technique, we establish some new sufficient conditions which ensure that every solution of this equation oscillates or converges to zero. © 2016 NSP Natural Sciences Publishing Cor.