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Coupling linearity and twist: an extension of the Poincaré-Birkhoff theorem for Hamiltonian systems
We provide an extension of the Poincaré–Birkhoff Theorem for systems coupling linear components with twisting components. Applications are given both to weakly coupled Hamiltonian systems where, e.g., a superlinear or sublinear beha...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Coexistence of bouncing and classical periodic solutions of generalized Lazer–Solimini equation
. The proofs are based on the ideas of the Poincaré-Birkhoff Twist Map Theorem...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The c-map as a functor on certain variations of Hodge structure
that variations of Hodge structure give rise to the aforementioned kind of twist data and by then applying the twist realisation of the c-map due to Macia and Swann. This extendsWe give a new manifestly natural presentatio...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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A Hardy inequality in a twisted Dirichlet-Neumann waveguide
We consider the Laplacian in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to a Hardy inequality for the Laplacian. As a byproduct of our met...
BE - Teoretická fyzika
- 2008 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Torsion and twists of abelian varieties
In this article, we investigate the possible torsion subgroups of twists of abelian varieties with good reduction. As an application, we prove a theorem concerning ramified primes over any quadratic extension where odd-order torsion...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Can Pourciau's open mapping theorem be derived from Clarke's inverse mapping theorem easily?
We discuss the possibility of deriving Pourciau's open mapping theorem from Clarke's inverse mapping theorem. We construct a Lipschitzian mapping g:ℝ³→ℝ for every matrix M∈∂g(0). We thus conclude that Pour...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Full analogy of Sharkovsky?s theorem for lower semicontinuous maps
A full analogy of the celebrated Sharkovsky cycle coexistence theorem is established for lower semicontinuous (multivalued) maps on metrizable linear continua. This result is further extended to triangular maps....
BA - Obecná matematika
- 2008 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The last excluded case of Dirac's Map-Color Theorem for choosability
We finish the proof of Dirac's Map Color Theorem for choosability.
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the Goldberg?Sachs theorem in higher dimensions in the non-twisting case
We study a generalization of the shearfree part? of the Goldberg?Sachs theorem for Einstein spacetimes admitting a non-twisting multiple Weyl aligned null direction (WAND) in n>5 spacetime dimensions. The form of the corresponding o...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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A note on Robinson-Ursescu and Lyusternik-Graves theorem
Robinson-Ursescu Theorem on the relative openness with a linear rate (restrictive metric regularity) of a multivalued mapping. Second, we prove a generalization of Graves OpenMapping Theorem for a class of mappings
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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