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Spectral Isoperimetric Inequality for the Delta' -Interaction on a Contour
We consider the problem of geometric optimization for the lowest eigenvalue of the two-dimensional Schrödinger operator with an attractive Delta'-interaction of a fixed strength, the support of which is a C2-smooth contour. Under the constra...
Pure mathematics
- 2021 •
- C •
- Link
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C - Kapitola v odborné knize
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An Eigenvalue Symmetric Matrix Contractor
We propose an eigenvalue contractor for symmetric matrices. Given a symmetric interval matrix A and an interval approximation of its eigenvalue sets the contractor reduces the entries of A such that no matrix with eigenvalues
BD - Teorie informace
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Estimates of the principal eigenvalue of the p-Laplacian
We provide estimates from below and from above for the principal eigenvalue of the p-Laplacian on a bounded domain. We apply these estimates to study the asymptotic behavior of the principal eigenvalue for p ? +oo....
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Half-linear eigenvalue problem: Limit behavior of the first eigenvalue for shrinking interval
We investigate the limit behavior of the first eigenvalue of the half-linear eigenvalue problem when the length of the interval tends to zero. We show that the important role is played by the limit behavior of ratios of primitive fu...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On the Variational Eigenvalues Which Are Not of Ljusternik-Schnirelmann Type
We discuss nonlinear homogeneous eigenvalue problems and the variational characterization of their eigenvalues. We focus on the Ljusternik-Schnirelmann method, present-Fischerminimaxprinciple in the linear case. At the end we presen...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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The ratio of eigenvalues of the Dirichlet eigenvalue problem for equations with one-dimensional p-Laplacian
We establish an estimate for the ratio of eigenvalues of the Dirichlet eigenvalue problem for the equation with one-dimensional p-Laplacian involving a nonnegative unimodal (single-well) potential....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Optimal Control Systems with Prescribed Eigenvalues
The eigenvalues of a linear and time-invariant control system can be located at desired positions either directly, using eigenvalue assignment techniques inducesa certain eigenvalue pattern, depending on the performance ind...
BC - Teorie a systémy řízení
- 2010 •
- D
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D - Stať ve sborníku
An oscillation theorem for discrete eigenvalue problem
Eigenvalue problems for symplectic difference systems are considered. The main result of the paper, an oscillation theorem, relates the number of eigenvalues to the number of generalized zeros of solutions....
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Estimates of the principal eigenvalue of the p-biharmonic operator
We provide estimates from below and from above for the principal eigenvalue of the p-biharmonic operator on a bounded domain with the Navier boundary conditions. We apply these estimates to study the asymptotic behavior of the principal ...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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The first eigenvalue and eigenfunction of a nonlinear elliptic system
In this paper, we study the first eigenvalue of a nonlinear elliptic system involving p-Laplacian as the differential operator. The principal eigenvalue and numerically. An alternative proof to show the simplicity of the first e...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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