The eigenvalue gap for vibrating strings with symmetric densities

DOI10.1007/S10474-007-6120-8zbMath1396.34053OpenAlexW2053622486MaRDI QIDQ955192

Min-Jei Huang

Publication date: 19 November 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-6120-8

zbMATH Keywords

vibrating stringeigenvalue gapsymmetric density

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Strings (74K05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (6)

On the minimum eigenvalue gap for vibrating string ⋮ The dual eigenvalue problems for the Sturm-Liouville system ⋮ The dual eigenvalue problems for \(p\)-Laplacian ⋮ Lower bounds on the eigenvalue gap for vibrating strings ⋮ An eigenvalue problem for vibrating strings with concave densities ⋮ Extremal problems of the density for vibrating string equations with applications to gap and ratio of eigenvalues

Cites Work

• Eigenvalue ratios for Sturm--Liouville operators
• Eigenvalue ratios of vibrating strings
• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
• On the eigenvalue ratio for vibrating strings
• On the first two eigenvalues of Sturm-Liouville operators
• On frequencies of strings and deformations of beams
• The Gap between the First Two Eigenvalues of a One-Dimensional Schrodinger Operator with Symmetric Potential

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