Existence and uniqueness theorems for functional equations

TL;DR

This paper presents new extension and uniqueness theorems for specific restricted additive and logarithmic functional equations, advancing the theoretical understanding of these equations.

Contribution

It provides simple extension and uniqueness theorems for restricted additive and logarithmic functional equations, contributing to the theoretical framework.

Findings

Established new extension theorems for restricted equations

Proved uniqueness results for solutions of these equations

Simplified existing proofs for these types of functional equations

Abstract

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