On frequencies of strings and deformations of beams
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Publication:5700381
DOI10.1090/S0033-569X-05-00959-5zbMath1091.34015OpenAlexW2030921613MaRDI QIDQ5700381
Publication date: 28 October 2005
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0033-569x-05-00959-5
monotonicity propertycontinuous symmetrizationdeformation of beamsfrequencies of stringsratio of the first two frequencies
Classical linear elasticity (74B05) Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Related Items
Lower bounds on the eigenvalue gap for vibrating strings, The eigenvalue gap for vibrating strings with symmetric densities, A note on the eigenvalue ratio of vibrating strings
Cites Work
- Unnamed Item
- Eigenvalue ratios for Sturm--Liouville operators
- Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials
- Bounds for functions of eigenvalues of vibrating systems
- Monotonicity of Eigenvalues Under Symmetrization
- Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
- An extremal eigenvalue problem
- The Minimum Ratio of Two Eigenvalues
- On the eigenvalue ratio for vibrating strings
- The Eigenvalue Gap for One-Dimensional Convex Potentials
- Rearrangements and fourth order equations
- Best Constant for the Ratio of the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Positive Potentials
- Monotonicity of buckling loads under symmetrization
- On the first two eigenvalues of Sturm-Liouville operators
- Eigenvalue ratios for the regular Sturm-Liouville system
- The Gap between the First Two Eigenvalues of a One-Dimensional Schrodinger Operator with Symmetric Potential
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)