Comparision And Oscillation Theory Of Second Order Half-linear Differential Equation

In this paper we will deal with the half-linear second order differential equation (r(t)<φp(x’))’+c(t)φp(x)=O,(0.1) whereφp(x)=|x|p-2x, p>1, and r, c∈C[a,∞),a>0, r(t)>0,c(t)≠0for t≥α. Using a suitable modification,we derive new half-linear with different parameters. Then we will get the nonoscillatory properites of the original equation (0.1) indirectly.