A new method of solving the index problem for Sturm-Liouville eigenvalues

DOI10.1007/s10255-015-0520-2zbMath1338.34068OpenAlexW2254931942MaRDI QIDQ277080

Jiong Sun, Gui-Xia Wang

Publication date: 4 May 2016

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-015-0520-2

zbMATH Keywords

Prüfer anglecoupled boundary conditionsindices of eigenvaluesinterlacing eigenvalue intervalsnumerical computationsself-adjoint Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalue problems for linear operators (47A75) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Uses Software

• EIGENIND-SLP

Cites Work

• Computing the indices of Sturm-Liouville eigenvalues for coupled boundary conditions (the EIGENIND-SLP codes)
• The index problem for eigenvalues for coupled boundary conditions and Fulton's conjecture
• Inequalities among eigenvalues of Sturm-Liouville problems
• Geometric aspects of Sturm-Liouville problems. III. Level surfaces of the \(n\)th eigenvalue
• Interlacing and oscillation for Sturm-Liouville problems with separated and coupled boundary conditions
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