Group iteration for Abel's functional equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15410%2F07%3A10217135" target="_blank" >RIV/61989592:15410/07:10217135 - 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

Group iteration for Abel's functional equation

Original language description

Studied is the Abel functional equation alpha(f(x)) = alpha(x) +1 and its generalization alpha(f(x)) = g(alpha(x)). Given an increasing function f, possibly having fixed points in its domain (a,b), a group-theoretic iterative explicit construction is given for infinitely many solutions alpha which are infinite at fixed points of f and otherwise monotonic. The group-theoretic structure is suitable for studying solution properties of Abel functional equations. The method apply in particular to Abel functional equations for which the domain (a,b) is a finite interval, a half-line or the real line with f possibly having many fixed points.

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

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Continuities

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2007

Confidentiality

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

Name of the periodical

Nonlinear Analysis: Hybrid Systems

ISSN

1751-570X

e-ISSN

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Volume of the periodical

2007

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

8

Pages from-to

95-102

UT code for WoS article

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EID of the result in the Scopus database

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