Existence and uniqueness theorems for functional equations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 06 Feb 2023Embargo end date: 01 Jan 2023 English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Communications in Mathematics, volume Volume 32 (2024), Issue 1 (eissn: 2336-1298,

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Authors: Glavosits, Tamás; Karácsony, Zsolt;

doi: 10.46298/cm.10830 , 10.48550/arxiv.2301.06063

arXiv: 2301.06063

Existence and uniqueness theorems for functional equations

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Abstract

In this paper we give simple extension and uniqueness theorems for restricted additive and logarithmic functional equations.

Keywords

ordered dense group, extension, 39B52, additive function, Mathematics - Analysis of PDEs, logarithmic function, FOS: Mathematics, Functional equations for functions with more general domains and/or ranges, ordered field, restricted functional equation, interval, Analysis of PDEs (math.AP)

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