Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials

DOI10.1016/j.jde.2019.01.013zbMath1416.34019OpenAlexW2914240724MaRDI QIDQ1737545

Carsten Trunk, Philipp Schmitz, Jussi Behrndt

Publication date: 23 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2019.01.013

zbMATH Keywords

Krein spaceindefinite Sturm-Liouville operatorspectral boundsnon-real eigenvalue

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (7)

Lower bounds for self-adjoint Sturm–Liouville operators ⋮ Bounds of non-real eigenvalues for indefinite \(p\)-Laplacian problems ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ Sharp spectral bounds for complex perturbations of the indefinite Laplacian ⋮ Non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems ⋮ Relatively bounded perturbations of \(J\)-non-negative operators ⋮ Bounds on the non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems with coupled boundary conditions

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