Bounds for the point spectrum for a Sturm-Liouville equation

DOI10.1017/S0308210500010131zbMath0426.34015MaRDI QIDQ3861726

F. V. Atkinson, W. Norrie Everitt

Publication date: 1978

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

bounds for the point spectrum for a Sturm-Liouville equation

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Ordinary differential operators (34L99)

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Bounds for the positive eigenvalues of the \(p\)-Laplacian with decaying potential ⋮ On embedded eigenvalues for the one-dimensional Schrödinger equation ⋮ Absence of singular continuous spectrum for perturbed discrete Schrödinger operators ⋮ Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators ⋮ On stability conditions for second order linear differential equations ⋮ Bounds for the point spectra of separated Dirac operators ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Criteria for Sturm-Liouville equations to have continuous spectra ⋮ Sharp bound for embedded eigenvalues of Dirac operators with decaying potentials ⋮ Bounds for the eigenvalues of separated Dirac operators

Cites Work

• Asymptotic integration of adiabatic oscillators
• The asymptotic solution of second-order differential equations
• On the Spectrum of a Second Order Linear Differentia! Equation with a p-integrable Coefficient!

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