Oscillation Criteria for a Class of Third-Order Neutral Dynamic Equations with Distributed Deviating Arguments

Abstract

In this paper, the oscillation property for a class of third-order neutral dynamic equations with distributed deviating arguments is studied. Using the generalized Riccati inequality and integral averaging technique, some new oscillation results are established, which show that any solution of the equations will be either oscillatory or convergent to zero. Finally, two examples are given to show that the results are in good agreement with our theoretical analysis.