Equivalence of fourth order boundary value problems and matrix eigenvalue problems

DOI10.1007/s00025-011-0219-5zbMath1267.34036OpenAlexW2022366905MaRDI QIDQ1936948

Anton Zettl, Ji-jun Ao, Jiong Sun

Publication date: 8 February 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0219-5

zbMATH Keywords

eigenvaluesboundary value problemsmatrix representations

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (12)

Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions ⋮ Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions ⋮ Inverse spectral problem of a class of fourth-order eigenparameter-dependent boundary value problems ⋮ Matrix representations of fourth order boundary value problems with periodic boundary conditions ⋮ The finite spectrum of fourth-order boundary value problems with transmission conditions ⋮ Survey article: Self-adjoint ordinary differential operators and their spectrum ⋮ Matrix representations of fourth-order boundary value problems with transmission conditions ⋮ Matrix representations of fourth-order boundary value problems with coupled or mixed boundary conditions ⋮ Eigenvalues of a class of fourth-order boundary value problems with transmission conditions using matrix theory ⋮ THIRD ORDER BOUNDARY VALUE PROBLEM WITH FINITE SPECTRUM ON TIME SCALES ⋮ Unnamed Item ⋮ Finite spectrum of \(2 n\)th order boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• The study of Jacobi and cyclic Jacobi matrix eigenvalue problems using Sturm-Liouville theory
• Inverse Sturm-Liouville problems with finite spectrum
• Canonical forms of self-adjoint boundary conditions for differential operators of order four
• The eigenvalues of a tridiagonal matrix in biogeography
• Matrix representations of Sturm-Liouville problems with finite spectrum
• The classification of self-adjoint boundary conditions: separated, coupled, and mixed
• Spectral theory of ordinary differential operators
• Matrix representations of fourth order boundary value problems with finite spectrum
• Discrete and continuous boundary problems
• Computing Approximate Eigenpairs of Symmetric Block Tridiagonal Matrices
• Sturm-Liouville problems with finite spectrum

This page was built for publication: Equivalence of fourth order boundary value problems and matrix eigenvalue problems