Perturbative Oscillation Criteria and Hardy-type Inequalities
نویسنده
چکیده
We prove a natural generalization of Kneser's oscillation criterion and Hardy's inequality for Sturm{Liouville diierential expressions. In particular, assuming ? d dx p 0 (x) d dx + q 0 (x), x 2 (a; b), ?1 a < b 1 to be nonoscillatory near a (or b), we determine conditions on q(x) such that ? d dx p 0 (x) d dx + q 0 (x) + q(x) is nonoscillatory, respectively, oscillatory near a (or b).
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تاریخ انتشار 2007