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

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Emamizadeh B., Farjudian A.

Nonautonomous Dynamical Systems

2014

tom 1

nr 1

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.

Ograniczanie wyników

1 Nonautonomous Dynamical Systems

1 Emamizadeh B.

1 Farjudian A.

1 2014

Wyniki wyszukiwania

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