Perturbative Oscillation Criteria and Hardy‐Type Ineqalities
Copyright policy )Perturbative Oscillation Criteria and Hardy‐Type Ineqalities
AbstractWe prove a natural generalization of Kneser's oscillation and Hardy's inequality for Sturm‐Liouville differential expressions. In Particular, assuming − d/dxp0(x)+q0(x), x ∈ a, b), −∞≦a<b≦∞, to be nonoscillatory near a (or b), we determine condition on q(x) such that − d/dxp0(x)+q0(x)+q(x) is nonoscillatory, respectively, oscillatory near a (or b)
- University of Missouri United States
Sturm-Liouville theory, Sturm-Liouville equations, Kneser's oscillation criterion, JFM 25.0533.01, Hardy's inequality, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
Sturm-Liouville theory, Sturm-Liouville equations, Kneser's oscillation criterion, JFM 25.0533.01, Hardy's inequality, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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