Oscillation criteria for damped half-linear PDE via the integral operator

By using the integral operator, we establish some oscillation criteria for the damped half-linear PDE ∑i,j=1NDi(aij(x)‖Dy‖α−1Djy)+〈b(x),‖Dy‖α−1Dy〉+c(x)|y|α−1y=0. The results are extensions of integral averaging technique of Kamenev and include earlier results of Usami, Xu and Xing.