Summary: Two new oscillation criteria for forced second-order nonlinear differential equations of the form
are established. Our results are based on the information on a sequence of subintervals of only, rather than on the whole half-line. Our methodology is somewhat different from that of previous authors. The results presented here are much more general than a recent result of W. T. Li and S. S. Cheng [Appl. Math. Lett. 15, 259–263 (2002; Zbl 1023.34029)].