Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00094949" target="_blank" >RIV/00216224:14310/17:00094949 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1080/10236198.2017.1326912" target="_blank" >http://dx.doi.org/10.1080/10236198.2017.1326912</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/10236198.2017.1326912" target="_blank" >10.1080/10236198.2017.1326912</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups

Popis výsledku v původním jazyce

We analyse the solution spaces of limit periodic homogeneous linear difference systems, where the coefficient matrices of the considered systems are taken from a commutative group which does not need to be bounded. In particular, we study such systems whose fundamental matrices are not asymptotically almost periodic or which have solutions vanishing at infinity. We identify a simple condition on the matrix group which guarantees that the studied systems form a dense subset in the space of all considered systems. The obtained results improve previously known theorems about non-almost periodic and non-asymptotically almost periodic solutions. Note that the elements of the coefficient matrices are taken from an infinite field with an absolute value and that the corresponding almost periodic case is treated as well.

Název v anglickém jazyce

Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups

Popis výsledku anglicky

We analyse the solution spaces of limit periodic homogeneous linear difference systems, where the coefficient matrices of the considered systems are taken from a commutative group which does not need to be bounded. In particular, we study such systems whose fundamental matrices are not asymptotically almost periodic or which have solutions vanishing at infinity. We identify a simple condition on the matrix group which guarantees that the studied systems form a dense subset in the space of all considered systems. The obtained results improve previously known theorems about non-almost periodic and non-asymptotically almost periodic solutions. Note that the elements of the coefficient matrices are taken from an infinite field with an absolute value and that the corresponding almost periodic case is treated as well.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA16-00611S" target="_blank" >GA16-00611S: Hamiltonovské a symplektické systémy: oscilační a spektrální teorie</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Difference Equations and Applications

ISSN

1023-6198

e-ISSN

—

Svazek periodika

23

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

30

Strana od-do

1324-1353

Kód UT WoS článku

000417340300002

EID výsledku v databázi Scopus

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