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The eigenvalue gap for vibrating strings with symmetric densities

Acta Mathematica Hungarica
Volume/Issue:
Volume 117: Issue 4
DOI:
https://doi.org/10.1007/s10474-007-6120-8
Author: M. Huang

Abstract  

We establish several comparison results on the eigenvalue gap for vibrating strings with symmetric single-well densities or symmetric double-well densities.

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A note on the eigenvalue ratio of vibrating strings

Acta Mathematica Hungarica
Volume/Issue:
Volume 123: Issue 3
DOI:
https://doi.org/10.1007/s10474-009-8107-0
Author: M. Huang

Abstract  

For vibrating strings with symmetric single-well densities, it is known that the ratio λ2/λ11 is maximized when the density is constant. In this note, we extend this result to a class of symmetric densities.

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