scientific article

DOI<51::AID-MANA51>3.0.CO;2-4 10.1002/1522-2616(200109)229:1<51::AID-MANA51>3.0.CO;2-4zbMath0996.34067MaRDI QIDQ2762658

Walter Eberhard, Kerstin Wilcken-Stoeber, Gerhard Freiling

Publication date: 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

asymptotic distributionsingular pointseigenvaluesturning pointseigenvalue problemstwo-point boundary conditionsindefinite eigenvalue problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Green's functions for ordinary differential equations (34B27) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (5)

Energy levels of a physical system and eigenvalues of an operator with a singular potential ⋮ A Survey of the Earth Dams by Sturm-Liouville Equations - The Singular Case ⋮ Irregular boundary value problems revisited ⋮ Spectral Analysis for an Indefinite Singular Sturm-Liouville Problem ⋮ The uniqueness theorem for inverse nodal problems with a chemical potential

Cites Work

• Unnamed Item
• Linear turning point theory
• The distribution of the eigenvalues for second order eigenvalue problems in the presence of an arbitrary number of turning points
• Indefinite boundary eigenvalue problems in a Pontrjagin space setting
• On the asymptotic distribution of the eigenvalues of singular Sturm-Liouville problems with an indefinite weight function
• An expansion theorem for eigenvalue problems with several turning points
• Asymptotic laws of distribution of the characteristic values for certain special forms of differential equations of the second order
• Sturm-Liouville operators with an indefinite weight function

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