Oscillatory And Nonoscillatory Conditions For Equations Under The Riccati Technique

In this paper,we discuss the oscillatory and non-oscillatory conditions of equations mostly by applying the Riccati technique.Firstly,we get a sufficient condition for the half-linear differential equation to be non-osillatory by using the modified Pr(?)fer transformation that is slightly different from in [1].Secondly,we consider the partial differential equation.Inspired by the paper [4],we make use of a clever transformation and reduction to absurdity to guarantee the PDE to be oscillatory.