Oscillatory behaviour of higher order neutral type nonlinear forced differential equations with oscillating coefficients. (Q1426998)

The authors consider a class of higher-order neutral-type nonlinear forced differential equations with oscillating coefficients of the form \[ [y(t)+p(t)y(\tau(t))]^{(n)}+\sum_{i=1}^{m}q_i(t)f_i(y(\sigma_t))=s(t). \] They obtain two sets of sufficient conditions ensuring that every bounded solution of the above equation is either oscillatory or tends to zero as \(t\to 0\) when \(n\) is odd, and every bounded solution of the above equation is oscillatory when \(n\) is even, respectively.