Inequalities between Dirichlet and Neumann eigenvalues of vibrating strings

DOI10.1007/S10474-018-0824-9zbMath1424.34303OpenAlexW2802849561MaRDI QIDQ1669663

Peng Zhang

Publication date: 3 September 2018

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

Full work available at URL: https://doi.org/10.1007/s10474-018-0824-9

zbMATH Keywords

Dirichlet eigenvaluevibrating stringNeumann eigenvaluesymmetric densityconcave densityDN-isospectral property

Mathematics Subject Classification ID

Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• An eigenvalue problem for vibrating strings with concave densities
• An isospectral problem related to the Dirichlet eigenvalues and the Neumann eigenvalues of a string equation and some related problems
• The Minimum Ratio of Two Eigenvalues
• On the eigenvalue ratio for vibrating strings

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