Singular left-definite Sturm--Liouville problems

DOI10.1016/j.jde.2004.07.027zbMath1058.34029OpenAlexW1995040889MaRDI QIDQ1886297

Anton Zettl, Hongyou Wu, Qing Kai Kong

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jde.2004.07.027

zbMATH Keywords

eigenvalueseigenfunctionseigenvalue inequalitiessingular problemsleft-definite

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (17)

Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces ⋮ Spectral exactness and spectral inclusion for singular left-definite Sturm-Liouville problems ⋮ Bounds on the non-real spectrum of differential operators with indefinite weights ⋮ On the spectra of left-definite operators ⋮ Eigenvalue estimates for operators with finitely many negative squares ⋮ Scattering and inverse scattering for a left-definite Sturm-Liouville problem ⋮ Characterization of self-adjoint ordinary differential operators ⋮ Boundary conditions associated with the general left-definite theory for differential operators ⋮ Left-definite boundary conditions of Sturm-Liouville problems when the interval shrinks to a point ⋮ Left-definite spaces of singular Sturm-Liouville problems ⋮ On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps ⋮ Spectral functions of products of selfadjoint operators ⋮ Spectral analysis of singular ordinary differential operators with indefinite weights ⋮ Floquet theory for left-definite Sturm-Liouville problems ⋮ Inequalities among eigenvalues of different self-adjoint discrete Sturm-Liouville problems ⋮ Limit-point criteria for semi-degenerate singular Hamiltonian differential systems with perturbation terms ⋮ Eigenvalues of discrete Sturm-Liouville problems with sign-changing weight and coupled boundary conditions

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