On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below

DOI10.1016/j.jde.2020.05.005zbMath1458.34143arXiv1910.13117OpenAlexW3033383768MaRDI QIDQ2189774

Lance L. Littlejohn, Roger A. Nichols, Friedrich Gesztesy

Publication date: 16 June 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13117

zbMATH Keywords

boundary conditionsboundary valuessingular Sturm-Liouville operatorsWeyl \(m\)-functions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (13)

The Krein-von Neumann extension of a regular even order quasi-differential operator ⋮ On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint ⋮ Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators ⋮ The Krein–von Neumann extension revisited ⋮ Spectral properties of singular Sturm-Liouville operators via boundary triples and perturbation theory ⋮ The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions ⋮ Singular boundary conditions for Sturm–Liouville operators via perturbation theory ⋮ On critical dipoles in dimensions \(n \geq 3\) ⋮ A survey of some norm inequalities ⋮ Explicit Krein resolvent identities for singular Sturm-Liouville operators with applications to Bessel operators ⋮ Non-negative extensions of Hamiltonian systems ⋮ Bessel-type operators and a refinement of Hardy's inequality ⋮ Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator

Uses Software

• DLMF

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