Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107219" target="_blank" >RIV/00216224:14310/19:00107219 - isvavai.cz</a>

Výsledek na webu

<a href="https://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2019.051" target="_blank" >https://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2019.051</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.12775/TMNA.2019.051" target="_blank" >10.12775/TMNA.2019.051</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups

Popis výsledku v původním jazyce

We study the behaviour of solutions of limit periodic difference systems over (infinite) fields with absolute values. The considered systems are described by the coefficient matrices that belong to commutative groups whose boundedness is not required. In particular, we are interested in special systems with solutions which vanish at infinity or which are not asymptotically almost periodic. We obtain a transparent condition on the matrix groups which ensures that the special systems form a dense subset in the space of all considered systems, i.e., that, in any neighbourhood of any considered limit periodic system, there exists a system which have non-asymptotically almost periodic or vanishing solutions. The presented results improve and extend known ones.

Název v anglickém jazyce

Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups

Popis výsledku anglicky

We study the behaviour of solutions of limit periodic difference systems over (infinite) fields with absolute values. The considered systems are described by the coefficient matrices that belong to commutative groups whose boundedness is not required. In particular, we are interested in special systems with solutions which vanish at infinity or which are not asymptotically almost periodic. We obtain a transparent condition on the matrix groups which ensures that the special systems form a dense subset in the space of all considered systems, i.e., that, in any neighbourhood of any considered limit periodic system, there exists a system which have non-asymptotically almost periodic or vanishing solutions. The presented results improve and extend known ones.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA17-03224S" target="_blank" >GA17-03224S: Asymptotická teorie obyčejných diferenciálních rovnic celočíselných a neceločíselných řádů a jejich numerických diskretizací</a><br>

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Topological Methods in Nonlinear Analysis

ISSN

1230-3429

e-ISSN

1230-3429

Svazek periodika

54

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

PL - Polská republika

Počet stran výsledku

21

Strana od-do

515-535

Kód UT WoS článku

000522656500007

EID výsledku v databázi Scopus

2-s2.0-85078312979