On a generalized Dhombres functional equation II

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F02%3A00000092" target="_blank" >RIV/47813059:19610/02:00000092 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On a generalized Dhombres functional equation II

Original language description

There is considered the functional equation f(xf(x))=g(f(x)), where g:J->J is given continuous, strictly increasing functions on an open interval J in R+, and f:R+ ->J is an unknown function, and some properties of continuous solutions are given. In thepresent paper we give a characterization of the equations which have all continuous solution monotone. In particulat, all continuous solutions are monotoneif either (i) 1 is an end-point of J and J contains no fixed point of phi or (ii) 1 in J and J contains no fixed points different from 1.

Czech name

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Czech description

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Type

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

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F00%2F0859" target="_blank" >GA201/00/0859: Dynamical systems</a><br>

Continuities

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

Publication year

2002

Confidentiality

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

Name of the periodical

Mathematica Bohemica

ISSN

ISSN0862-7959

e-ISSN

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Volume of the periodical

127

Issue of the periodical within the volume

4

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

9

Pages from-to

547-555

UT code for WoS article

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EID of the result in the Scopus database

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