Convergence of regular approximations to the spectra of singular fourth-order Sturm–Liouville problems

DOI10.1017/S0308210500029991zbMath0920.34032arXivmath/9801052MaRDI QIDQ4223663

Leon Greenberg, Marco Marlettta, Malcolm W. Brown

Publication date: 9 September 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9801052

zbMATH Keywords

fourth-order Sturm-Liouville problemsinterval truncationFriedrichs boundary conditionssingular endpoints

Mathematics Subject Classification ID

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

Related Items

Regular approximation of singular Sturm-Liouville problems with eigenparameter dependent boundary conditions ⋮ Regular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpoint ⋮ Regular approximation of singular third-order differential operators ⋮ Approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations ⋮ Eigenvalues in spectral gaps of differential operators ⋮ Regular approximations of spectra of singular second-order symmetric linear difference equations ⋮ Resolvent convergence and spectral approximations of sequences of self-adjoint subspaces ⋮ Regular approximation of linear Hamiltonian operators with two singular endpoints ⋮ Regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations

Uses Software

• SLEDGE

Cites Work

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• Formally self-adjoint quasidifferential operators
• Computing eigenvalues of singular Sturm-Liouville problems
• Numerical solution of eigenvalue problems for Hamiltonian systems
• Regular approximations of singular Sturm-Liouville problems
• Computation of the M matrix for fourth-order problems
• On the discreteness of spectra of singular Sturm-Liouville problems
• Automatic Solution of the Sturm-Liouville Problem
• Mathematical software for Sturm-Liouville problems
• Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems
• Applications of functional analysis and operator theory