The index problem for eigenvalues for coupled boundary conditions and Fulton's conjecture

DOI10.1007/s00605-008-0026-6zbMath1171.34020OpenAlexW1970164280WikidataQ123003145 ScholiaQ123003145MaRDI QIDQ1027752

Hongyou Wu, Zhong Wang

Publication date: 30 June 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0026-6

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Degree theory for nonlinear operators (47H11) General spectral theory of ordinary differential operators (34L05) Eigenvalue problems for linear operators (47A75)

Related Items (4)

A new method of solving the index problem for Sturm-Liouville eigenvalues ⋮ Relations among eigenvalues of left-definite Sturm-Liouville problems with coupled BCS and separated BCS ⋮ Computing the indices of Sturm-Liouville eigenvalues for coupled boundary conditions (the EIGENIND-SLP codes) ⋮ Oscillation problem of left-definite Sturm-Liouville problems with coupled BCs

Uses Software

• EIGENIND-SLP

Cites Work

• Computing the indices of Sturm-Liouville eigenvalues for coupled boundary conditions (the EIGENIND-SLP codes)
• Inequalities among eigenvalues of Sturm-Liouville problems
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• A rigorous verification of a numerically computed eigenvalue
• Geometric aspects of Sturm-Liouville problems. III. Level surfaces of the \(n\)th eigenvalue
• Discrete and continuous boundary problems
• Oscillation theory for Sturm–Liouville problems with indefinite coefficients
• Sturm-Liouville Problems Whose Leading Coefficient Function Changes Sign
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