Consider the forced nonlinear differential equation
, , , and are continuous, with for . By using Young’s inequality and using a class of particular functions, some new criteria are established for the oscillation of higher-order forced nonlinear differential equations of the form (1) that are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of , rather than on the whole half-line. In particular, the coefficient is not restricted as the conditions are assumed in papers by A. G. Kartsatos [Stab. Dyn. Syst., Theor. Appl., Proc. Conf. Miss. State Univ. 1975, 17–72 (1977; Zbl 0361.34031) and Proc. Am. Math. Soc. 33, 377–383 (1972; Zbl 0234.34040)].