Counting and computing eigenvalues of left-definite Sturm--Liouville problems

DOI10.1016/S0377-0427(02)00573-3zbMath1019.65056MaRDI QIDQ1860430

Anton Zettl, Marco Marlettta

Publication date: 23 February 2003

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

zbMATH Keywords

numerical examplesnumber of negative eigenvaluesself-adjoint Sturm-Liouville problemsnumber of positive eigenvalues

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)

Uses Software

• LAPACK
• SLEIGN2
• aicm

Cites Work

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• On an equation of mixed type from electron scattering theory
• Numerical solution of eigenvalue problems for Hamiltonian systems
• A left-definite study of Legendre's differential equation and the fourth-order Legendre type differential equation
• Discrete and continuous boundary problems
• Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
• Oscillation theory for indefinite Sturm-Liouville problems with eigenparameter-dependent boundary conditions
• Sturm–Liouville problems with indefinite weights and Everitt's inequality
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code
• Left-definite Sturm-Liouville problems

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