Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string
Behrouz Emamizadeh ; Amin Farjudian
Nonautonomous Dynamical Systems, Tome 1 (2014), / Harvested from The Polish Digital Mathematics Library
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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 recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will also provide further insight into the dynamics of the non-principal eigenvalues of the system.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:266723 
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     author = {Behrouz Emamizadeh and Amin Farjudian},
     title = {Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string},
     journal = {Nonautonomous Dynamical Systems},
     volume = {1},
     year = {2014},
     zbl = {1311.34038},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_msds-2014-0007}
}

Behrouz Emamizadeh; Amin Farjudian. Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string. Nonautonomous Dynamical Systems, Tome 1 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_msds-2014-0007/

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