Mathematical Theory and Applications ›› 2017, Vol. 37 ›› Issue (1): 7-15.

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Oscillation of Solutions for a Class of Nonlinear Neutral Differential Equations

Long Cheng, Liu Yi, Xie Yongqin   

  1. School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410114,China
  • Online:2017-03-30 Published:2020-09-24

Abstract: In this paper we study the oscillation of certain third-order nonlinear neutral differential equation with distributed delay by using non-classical Riccati transformation and integral averaging.We establish some new sufficient conditions which ensure that every solution of this equation oscillates or converges to zero.Our results essentially improve and complement the known results in the literatures recently.

Key words: Third-order neutral differential equation, Oscillation criterion, Riccati transformation