Extensions of Cascades Created by Certain Function Systems

Result code in 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>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Extensions of Cascades Created by Certain Function Systems

Original language description

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.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

AM - Pedagogy and education

OECD FORD branch

—

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

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

Name of the periodical

Acta Mathematica Nitriensia

ISSN

2453-6091

e-ISSN

—

Volume of the periodical

1

Issue of the periodical within the volume

1

Country of publishing house

SK - SLOVAKIA

Number of pages

7

Pages from-to

50-56

UT code for WoS article

—

EID of the result in the Scopus database

—