On the eigenvalue ratio for vibrating strings

DOI10.1090/S0002-9939-99-05015-7zbMath0917.34067OpenAlexW1494263571MaRDI QIDQ4235599

Min-Jei Huang

Publication date: 22 March 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05015-7

zbMATH Keywords

eigenfunctioneigenvalue ratioconcave densitysymmetric single-well density

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Strings (74K05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (17)

On the first two eigenvalues of Sturm-Liouville operators ⋮ The dual eigenvalue problems of the conformable fractional Sturm-Liouville problems ⋮ On the minimum eigenvalue gap for vibrating string ⋮ Inequalities between Dirichlet and Neumann eigenvalues of vibrating strings ⋮ The eigenvalue ratio for a class of densities ⋮ The dual eigenvalue problems for the Sturm-Liouville system ⋮ Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations ⋮ The dual eigenvalue problems for \(p\)-Laplacian ⋮ On frequencies of strings and deformations of beams ⋮ Lower bounds on the eigenvalue gap for vibrating strings ⋮ Optimal upper bounds for the eigenvalue ratios of one-dimensional $p$-Laplacian ⋮ The eigenvalue gap for vibrating strings with symmetric densities ⋮ An eigenvalue problem for vibrating strings with concave densities ⋮ The string of variable density: further results ⋮ Eigenvalue ratios for vibrating string equations with single-well densities ⋮ A note on the eigenvalue ratio of vibrating strings ⋮ Upper bounds on the eigenvalue ratio for vibrating strings

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