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Results
Time scale embedding theorem and coercivity of quadratic functionals
definite and the time scale version of the strengthened Legendre condition holds. In order to prove this, we establish a time scale embedding theorem and apply of a time scale q...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Regular variation on measure chains
In this paper we show how the recently introduced concept of regular variation on time scales (or measure chains) is related to a Karamata type definition. We also present characterization theorems and an embedding...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Theory of regularly and rapidly varying functions on time scales and its application to dynamic equations
The aims of this tbook are two. First, to establish the theory of regular and rapid variation on time scales, which would naturally supplement and extend the existing theory of regular and rapid variation from the continuous and dis...
BA - Obecná matematika
- 2011 •
- B
Rok uplatnění
B - Odborná kniha
Differentiation of solutions of dynamic equations on time scales with respect to parameters
In this paper we prove the differentiability properties of solutions of nonlinear dynamic equations on time scales with respect to parameters. This complements the previous work of the first and third authors regarding the existence...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Comparison theorems for linear dynamic equations on time scales
We obtain several comparison theorems for second order linear dynamic equations on a time scale. These result extend comparison theorems for the continuous case and provide some new results in the discrete case, as...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Lerch's theorem on nabla time scales
scales. As the main result, a nabla time scales analogue of Lerch's theorem ensuring uniqueness of Laplace image is proved for so-called simply periodic time scales. Moreover does not occur on ge...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Embeddings and duality theorems for weak classical Lorentz spaces
We study embeddings and duality theorems for weak classical Lorentz spaces by method of discretization and antidiscretization.
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Averaging dynamic equations on time scales
The aim of this paper is to generalize the classical theorems on averaging of differential equations. We focus on dynamic equations on time scales and prove both periodic and nonperiodic version of the averaging theorem...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Comparison theorems for linear dynamic equations in time scales.
We obtain several comparison theorems for second order linear dynamic equations on a time scale. These result extend comparison theorems for the continuous case and provide some new results in the discrete case, as...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On dimension-free integrability improvement for Sobolev embeddings
We survey recent dimension-invariant embedding theorems for Sobolev spaces.
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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