Equality in Wielandt’s eigenvalue inequality
Shmuel Friedland (2015)
Special Matrices
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In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.
Displaying similar documents to “A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems”
Equality in Wielandt’s eigenvalue inequality
Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string
Behrouz Emamizadeh, Amin Farjudian (2014)
Nonautonomous Dynamical Systems
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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...
Note on a paper of E. M. E. Zayed and S. F. M. Ibraham.
Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
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Dependence of a differential equation on the first eigenvalue of a suitable problem
Jan Bochenek (1980)
Annales Polonici Mathematici
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The effect of reduced integration in the Steklov eigenvalue problem
María G. Armentano (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions, the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough.
A Note on Eigenvalue Problems with Eigenvalue Parameter in the Boundary Conditions.
Albert Schneider (1974)
Mathematische Zeitschrift
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On some properties of eigenvalues and eigenfunctions of certain differential equations of the fourth order
Jan Bochenek (1971)
Annales Polonici Mathematici
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A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding.
Julián Fernández Bonder, Julio D. Rossi (2002)
Publicacions Matemàtiques
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In this paper we study the Sobolev trace embedding W(Ω) → L (∂Ω), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition. We prove that there exists a sequence of variational eigenvalues λ / +∞ and then show that the first eigenvalue is isolated, simple and monotone with respect to the weight. Then we prove a nonexistence result related to the first eigenvalue and we end...