Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string

Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string

In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we r...

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Bibliographic Details
Main Authors: Emamizadeh, Behrouz, Farjudian, Amin
Format: Article
Language:English
Published: De Gruyter 2014
Subjects:
Eigenvalue problem; Ordinary differential equation; Principal eigenvalue; Monotonicity; Derivative; Symmetric rearrangements
Online Access:https://eprints.nottingham.ac.uk/56192/

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