96-5 F. Gesztesy and M. Unal

Perturbative Oscillation Criteria and Hardy-Type Inequalities (58K, amslatex) Jan 9, 96

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Abstract. We prove a natural generalization of Kneser's oscillation criterion and Hardy's inequality for Sturm-Liouville differential expressions. In particular, assuming -(d/dx)p(x)(d/dx) + q(x), a<x<b to be nonoscillatory near a (or b), we determine conditions on Q(x) such that -(d/dx)p(x)(d/dx) + q(x) + Q(x) is nonoscillatory, respectively, oscillatory near a (or b).

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