Singular Sturm-Liouville problems whose coefficients depend rationally on the eigenvalue param\-eter

DOI10.1016/j.jmaa.2004.03.042zbMath1058.34028OpenAlexW2057633325MaRDI QIDQ1876722

Manfred Möller, Hassi, Seppo, Hendrik S. V. de Snoo

Publication date: 20 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.042

zbMATH Keywords

Sturm-Liouville operatorsymmetric operatorTitchmarsh-Weyl coefficientselfadjoint extensionfloating singularityKac classlimit-point/limit-circle

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05)

Related Items (3)

Detectable subspaces and inverse problems for Hain-Lüst-type operators ⋮ Essential spectra of singular matrix differential operators of mixed order ⋮ Essential spectra of singular matrix differential operators of mixed order in the limit circle case

Cites Work

• Sturm--Liouville operators and their spectral functions
• On the essential spectrum of a class of singular matrix differential operators. I: Quasiregularity conditions and essential self-adjointness
• Spectral analysis of perturbed multiplication operators occurring in polymerisation chemistry
• On the determination of a differential equation from its spectral function
• Regular Sturm - Liouville Problems Whose Coefficients Depend Rationally on the Eigenvalue Parameter
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• A spectral theory for a \(\lambda\)-rational Sturm-Liouville problem
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