Sturm--Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions

DOI10.1016/j.jde.2005.05.002zbMath1099.34018OpenAlexW2164254726MaRDI QIDQ818479

Carsten Trunk, Jussi Behrndt

Publication date: 20 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jde.2005.05.002

zbMATH Keywords

Sturm-Liouville operatorboundary value problemWeyl functiondefinitizable operatorgeneralized Nevanlinna function

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Linear operators on spaces with an indefinite metric (47B50) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (10)

Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces ⋮ Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior ⋮ An analytic characterization of the eigenvalues of self-adjoint extensions ⋮ Elliptic boundary value problems with \(\lambda \)-dependent boundary conditions ⋮ On finite rank perturbations of definitizable operators ⋮ On the negative squares of a class of self‐adjoint extensions in Krein spaces ⋮ Spectral analysis of singular ordinary differential operators with indefinite weights ⋮ On the negative squares of indefinite Sturm--Liouville operators ⋮ Boundary value problems with eigenvalue depending boundary conditions

Cites Work

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