Oscillation of second order quasilinear neutral delay differential equations
In this paper, by employing Riccati transformation technique, some new sufficient conditions for the oscillation criteria are given for the second order quasilinear neutral delay differential equations with delayed argument in the form $$\bigl(r(t)\bigl|z'(t)\bigr|^{\alpha-1}z'(t)\bigr)'+q(t)f\bigl(x\bigl(\sigma(t)\bigr)\bigr)=0,\quad t\geq t_0,$$ where z(t)=x(t)?p(t)x(?(t)), 0?p(t)?p 0, ?>0. Two examples are considered to illustrate the main results.
oscillation neutral delay differential equations riccati transformation technique 34a99