Oscillation theorems for nth-order delay differential equations (Q798498)

The paper discusses the oscillation behavior of the functional differential equations \(x^{(n)}+p(t)f(x(g(t)))=0\) (n even) and \[ x^{(n)}+p(t)| x^{(n-1)}|^{\beta}x^{(n- 1)}+q(t)f(x(g(t)))=0\quad (n\quad even,\quad\beta \geq 0) \] through the use of weighted integrals. The paper generalizes earlier standard results for the oscillations of delay differential equations which yield substantially improved results in the above situation.