The eigenvalue ratio of the vibrating strings with mixed boundary condition-Reference-Cited by-同舟云学术

The eigenvalue ratio of the vibrating strings with mixed boundary condition

Published:2023-09-10 Issue:1 Volume:47 Page:409-418
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Gu Mengze¹,Sun Hongli²^ORCID

Affiliation:

1. School of Mathematics and Statistics Central South University Changsha China

2. School of Mathematics, Physics and Big data Chongqing University of Science and Technology Chongqing China

Abstract

We provide the lower bound for the ratio of the first two eigenvalues for vibrating strings with the mixed boundary condition, where the density is single‐barrier defined in and the transition point is 0. Moreover, the minimal ratio of the first two eigenvalues is attained by the constant.

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9663

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