Eventually positive solutions of higher order nonlinear neutral differential equations (Q945329)

The author considers the higher order nonlinear neutral differential equation \[ [r(t)(x(t)-p(t)x(t-\tau))^{n-1}]'+f(t,x(t-\sigma))=0 \] and the inequality \[ [r(t)(x(t)-p(t-\tau)^{(n-1)}]'+f(t,x(t-\sigma))\leq0 \] to improve some known results on existence of positive solutions of these equations. One example is provided to illustrate these results.