Sturm–Liouville problems with singular non‐selfadjoint boundary conditions

DOI10.1002/mana.200310318zbMath1090.34021OpenAlexW2035550812MaRDI QIDQ5711803

Walter Eberhard, Gerhard Freiling, Anton Zettl

Publication date: 8 December 2005

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310318

zbMATH Keywords

eigenfunction expansionsingular Sturm-Liouville problemsBirkhoff-regular problemsasympototic behavior of eigenvalues

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (5)

Bessel property of the system of root functions of a second-order singular operator on an interval ⋮ Bessel property of nonorthogonal systems of cylinder functions ⋮ Convergence of spectral decompositions for a singular differential operator with general boundary conditions ⋮ A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions ⋮ A criterion for Hill operators to be spectral operators of scalar type

Cites Work

• Unnamed Item
• The deficiency index problem for powers of ordinary differential expressions
• EXPANSION THEOREMS FOR BOUNDARY VALUE PROBLEMS WITH A SINGULARITY

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