Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments

Oscillation criteria are established for second order nonlinear neutral differential equations with deviating arguments of the form 􀀀 r.t/jz0.t/j 􀀀1z0.t/ 0 C f .t; xT .t/U/ D 0; t t0 where > 0 and z.t/ D x.t/ C p.t/xT .t/U. Our results improve and extend some known results in the literature. Some illustrating examples are also provided to show the importance of our results.