Algebraic model of difference equations and functional equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15410%2F14%3A33157404" target="_blank" >RIV/61989592:15410/14:33157404 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Algebraic model of difference equations and functional equations

Popis výsledku v původním jazyce

We will deal with the theory of Abel functional equations in the space of strictly monotonic functions $S$. The Abel functional equation model reduces under specialization to a linear functional or to a linear difference equation. Definitions, structure,and general theory for Abel functional equations on $S$ appear. The approach duplicates a rich body of known definitions, results and properties for classical functional and difference equations. The setting for the algebraic model is in the space $S$ of strictly monotonic real functions $f$ defined on the interval $cal J=(-infty,infty)$. It is required that $f$ map $cal J$ one-to-one onto an interval $(a,b)$, where $a$ and $b$ are extended real numbers. The model equation is expressed in terms ofiteration of a function $Phi$ in $S$. The iteration process uses a {em canonical function} in $S$, which is an arbitrarily chosen increasing function $Xin S$. A method is presented for solving the new model equation. This method can be

Název v anglickém jazyce

Algebraic model of difference equations and functional equations

Popis výsledku anglicky

We will deal with the theory of Abel functional equations in the space of strictly monotonic functions $S$. The Abel functional equation model reduces under specialization to a linear functional or to a linear difference equation. Definitions, structure,and general theory for Abel functional equations on $S$ appear. The approach duplicates a rich body of known definitions, results and properties for classical functional and difference equations. The setting for the algebraic model is in the space $S$ of strictly monotonic real functions $f$ defined on the interval $cal J=(-infty,infty)$. It is required that $f$ map $cal J$ one-to-one onto an interval $(a,b)$, where $a$ and $b$ are extended real numbers. The model equation is expressed in terms ofiteration of a function $Phi$ in $S$. The iteration process uses a {em canonical function} in $S$, which is an arbitrarily chosen increasing function $Xin S$. A method is presented for solving the new model equation. This method can be

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

Matematički Bilten

ISSN

0351-336X

e-ISSN

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Svazek periodika

38 (LXIV)

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

MK - Republika Severní Makedonie

Počet stran výsledku

9

Strana od-do

13-21

Kód UT WoS článku

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EID výsledku v databázi Scopus

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