Oscillation and nonoscillation results are presented for the operator [FORMULA PRESENTED] where p0(x) > 0 on (0, ∞) and for k = 0, 1,…., n, pk is a realvalued, n − k times differentiate function on (0, ∞). Also, y is an element of the set of all real-valued, 2n − fold continuously differentiate, finite functions on (0, ∞). In particular, a nonoscillation result is given for L2n without sign restrictions on the coefficients. Oscillation results are given for L4 without the requirement that p1 be negative for large x. Finally, the oscillation of FORMULA PRESENTED is considered for r(x) not necessarily bounded. © 1974 Pacific Journal of Mathematics.
