Computing the indices of Sturm-Liouville eigenvalues for coupled boundary conditions (the EIGENIND-SLP codes)

DOI10.1016/j.cam.2007.09.008zbMath1146.65058OpenAlexW2052649864MaRDI QIDQ939553

Zhong Wang, Hongyou Wu, Gui-Xia Wang

Publication date: 22 August 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.09.008

zbMATH Keywords

numerical examplesPrüfer anglecoupled boundary conditionsindices of eigenvaluesself-adjoint Sturm-Liouville problems

Mathematics Subject Classification ID

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)

Related Items (3)

A new method of solving the index problem for Sturm-Liouville eigenvalues ⋮ Existence conditions of negative eigenvalues in the regular Sturm-Liouville boundary value problem and explicit expressions for their number ⋮ The index problem for eigenvalues for coupled boundary conditions and Fulton's conjecture

Uses Software

• EIGENIND-SLP

Cites Work

• The index problem for eigenvalues for coupled boundary conditions and Fulton's conjecture
• Inequalities among eigenvalues of Sturm-Liouville problems
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Geometric aspects of Sturm-Liouville problems. III. Level surfaces of the \(n\)th eigenvalue
• Oscillation theory for Sturm–Liouville problems with indefinite coefficients
• Sturm-Liouville Problems Whose Leading Coefficient Function Changes Sign
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