Lower bounds on the eigenvalue gap for vibrating strings

DOI10.1016/J.JMAA.2014.03.045zbMath1310.34112OpenAlexW2027827156MaRDI QIDQ489004

Min-Jei Huang, Duo-Yuan Chen

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.045

zbMATH Keywords

lower boundBessel functionvibrating stringmonotone densityeigenvalue gapsymmetric density

Mathematics Subject Classification ID

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 (2)

On the minimum eigenvalue gap for vibrating string ⋮ 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
• The eigenvalue gap for vibrating strings with symmetric densities
• Some Properties of Eigenfunctions
• On the eigenvalue ratio for vibrating strings
• On the first two eigenvalues of Sturm-Liouville operators
• On frequencies of strings and deformations of beams

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