A note on the eigenvalue ratio of vibrating strings
Authors:
M. -J. Huang
Affiliation:
(1) Department of Mathematics, National Tsing Hua University, Hsinchu, 30043, Taiwan
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.