Oscillation Theorems for Third Order Neutral Differential Equations with Distributed Delay

The research on oscillation for general mechanical and electronic vibration mathematical models,which are usually functional differential equations,has important implications in both theory and practice.There have been many results about the oscillation for second order neutral functional differential equations,but there are few research results about the third order case.By means of the generalized Riccati transformation,this paper establishes several new oscillation criteria for certain third order neutral functional differential equations with distributed delays,and gives an example to illustrate the results,which generalize and improve some known results in the literature.