A spectral theory for a \(\lambda\)-rational Sturm-Liouville problem

DOI10.1006/jdeq.2000.3841zbMath1025.34024OpenAlexW2006860684WikidataQ124629914 ScholiaQ124629914MaRDI QIDQ5937328

Matthias Langer, Vadim Adamjan, Heinz K. Langer

Publication date: 2 December 2003

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

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3841

zbMATH Keywords

Navier-Stokes equationsaxial symmetryTitchmarsh-Weyl \(m\)-functionvelocity field of a plasma

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Electromagnetic theory (general) (78A25) Statistical mechanics of magnetic materials (82D40)

Related Items (8)

Singular Sturm-Liouville problems whose coefficients depend rationally on the eigenvalue param\-eter ⋮ Enclosure of the numerical range of a class of non-selfadjoint rational operator functions ⋮ Numerical solution of vector Sturm-Liouville problems with Dirichlet conditions and nonlinear dependence on the spectral parameter ⋮ Detectable subspaces and inverse problems for Hain-Lüst-type operators ⋮ Applications of a Class of Herglotz Operator Pencils ⋮ A quasi-extrapolation procedure for error estimation of numerical methods in Sturm--Liouville eigenproblems. ⋮ Spectral points of type \(\pi_{+}\) and \(\pi_{-}\) of operator-valued functions taking values in the set of unbounded operators ⋮ A polynomial approach to the spectral corrections for Sturm-Liouville problems

Cites Work

• 𝑅-functions—analytic functions mapping the upper halfplane into itself
• The Essential Spectrum of Some Matrix Operators
• Eigenvalues of a λ - Rational Sturm- Liouville Problem
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
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