Oscillation of solutions of neutral differential equations with a superlinear neutral term

The oscillatory behavior of solutions of the neutral differential equations with a superlinear neutral term [x(t)−pxα(t−τ)]′+q(t)∏j=1m|x(t−σj)|βjsign[x(t−σ1)]=0,t≥t0, is studied in the case when α>1α>1. Two almost “sharp” oscillatory and non-oscillatory criteria are obtained.