Extensions of Cascades Created by Certain Function Systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14410%2F15%3A00083337" target="_blank" >RIV/00216224:14410/15:00083337 - isvavai.cz</a>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Extensions of Cascades Created by Certain Function Systems

Popis výsledku v původním jazyce

The article was created on the basis of scientific research in the area of interdisciplinary relations between algebra and mathematical analysis with the aim to find deeper connections between these two branches.Considering three simple function systemswhich consists of power functions with odd exponents and two linear functions of one real variable, we are constructing actions of the additive group of all integers on the set of all real numbers, i. e. cascades. Using certain extensions based on prolongations of flows we obtain the system of cascades which are mutually isomorphic. One from consequences of the result is that all solution sets of corresponding functional equations formed with the use of given functions are non-empty, moreover all solution sets consisting of permutations of the set of all reals are non-empty, as well.

Název v anglickém jazyce

Extensions of Cascades Created by Certain Function Systems

Popis výsledku anglicky

The article was created on the basis of scientific research in the area of interdisciplinary relations between algebra and mathematical analysis with the aim to find deeper connections between these two branches.Considering three simple function systemswhich consists of power functions with odd exponents and two linear functions of one real variable, we are constructing actions of the additive group of all integers on the set of all real numbers, i. e. cascades. Using certain extensions based on prolongations of flows we obtain the system of cascades which are mutually isomorphic. One from consequences of the result is that all solution sets of corresponding functional equations formed with the use of given functions are non-empty, moreover all solution sets consisting of permutations of the set of all reals are non-empty, as well.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

AM - Pedagogika a školství

OECD FORD obor

—

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Acta Mathematica Nitriensia

ISSN

2453-6091

e-ISSN

—

Svazek periodika

1

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

SK - Slovenská republika

Počet stran výsledku

7

Strana od-do

50-56

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—