A Continuous Analogue of Sturm Sequences in the Context of Sturm–Liouville Equations

DOI10.1137/0726051zbMath0681.65061OpenAlexW1992303923MaRDI QIDQ4730715

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Publication date: 1989

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0726051

zbMATH Keywords

discretizationeigenvalueSturm sequencecomparison theoremsinvariant imbedding methodeigenfunctionSturm-Liouville equationa posteriori error estimatemethodoscillation theoremsshooting

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (8)

Enclosing solutions of an inverse Sturm-Liouville problem with finite data ⋮ Discrete Sturm-Liouville problems with nonlinear parameter in the boundary conditions ⋮ Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions ⋮ Eigenvalue accumulation for singular Sturm-Liouville problems nonlinear in the spectral parameter ⋮ Energy dependent potential problems for the one dimensional \(p\)-Laplacian operator ⋮ The synthesis of an inhomogeneous elastic system with a boundary load ⋮ On the Existence of Maass Cusp Forms on Hyperbolic Surfaces with Cone Points ⋮ Counting negative eigenvalues of a Hilbert-Schmidt operator via sign changes of a determinant

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