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Lower bounds for eigenvalues of self-adjoint problems

The equation y″ + [λ - q(x)]y = 0 on (0, ∞) or (-∞, ∞), in which q(x) → ∞ as x → ∞ or x → ± ∞, has a complete set of eigenfunctions with discrete eigenvalues {λ(n)}(n=0)(∞). We derive an inequality that contains λ(n), by using a quick and elementary method that does not employ a comparison theorem o...

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Bibliographic Details
Main Author: Gundersen, Gary G.
Format: Artigo
Language:Inglês
Published: 1979
Subjects:
Online Access:https://ncbi.nlm.nih.gov/pmc/articles/PMC411660/
https://ncbi.nlm.nih.gov/pubmed/16592718
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