An eigenvalue problem for vibrating strings with concave densities

DOI10.1016/J.AML.2012.05.001zbMath1387.74053OpenAlexW2056338871MaRDI QIDQ714526

Yan-Hsiou Cheng

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.05.001

zbMATH Keywords

inverse spectral problemDirichlet eigenvalueNeumann eigenvalue

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05)

Related Items (2)

Inequalities between Dirichlet and Neumann eigenvalues of vibrating strings ⋮ Extremal problems of the density for vibrating string equations with applications to gap and ratio of eigenvalues

Cites Work

• The dual eigenvalue problems for the Sturm-Liouville system
• The eigenvalue gap for vibrating strings with symmetric densities
• Eigenvalue ratios of vibrating strings
• The Minimum Ratio of Two Eigenvalues
• On the eigenvalue ratio for vibrating strings
• On the first two eigenvalues of Sturm-Liouville operators

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