Computing eigenvalues of Sturm-Liouville systems of Bessel type

DOI10.1017/S001309150002023XzbMath0931.34063OpenAlexW1974755312MaRDI QIDQ4267526

Bilal Chanane, Amin Boumenir

Publication date: 1999

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309150002023x

zbMATH Keywords

eigenvaluesPaley-Wiener spacessingular Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (8)

High order approximations of the eigenvalues of sturm-liouville problems with coupled self-adjoint boundary conditions ⋮ Existence of the transformation operator by the decomposition method ⋮ Computation of the eigenvalues of Sturm-Liouville problems with parameter dependent boundary conditions using the regularized sampling method ⋮ A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations ⋮ Computing the eigenvalues of singular Sturm-Liouville problems using the regularized sampling method ⋮ Spectral parameter power series for perturbed Bessel equations ⋮ Computation of the eigenpairs of two-parameter Sturm-Liouville problems using the \textit{regularized sampling method} ⋮ Transmutation Operators and Their Applications

Uses Software

• SLEDGE

Cites Work

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• Computing eigenvalues of singular Sturm-Liouville problems
• Automatic solution of Sturm-Liouville problems using the Pruess method
• Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems
• Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions
• Automatic Solution of the Sturm-Liouville Problem
• Eigenvalues of s-l systems using sampling theory

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