Three remarks on a question of Aczél

Orr Moshe Shalit

doi:10.1007/s00010-012-0159-5

Three remarks on a question of Aczél

Orr Moshe Shalit

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

At ISFE 2009 J. Aczel asked for the monotonic solutions of a certain functional equation. We show that when a parameter appearing in the equation takes a certain value there is a unique monotonic solution, and when it takes other values there are infinitely many monotonic solutions. Further, we comment on continuous and continuously differentiable solutions.

Original language	English
Pages (from-to)	201-205
Number of pages	5
Journal	Aequationes Mathematicae
Volume	84
Issue number	3
DOIs	https://doi.org/10.1007/s00010-012-0159-5
State	Published - 1 Dec 2012

ASJC Scopus subject areas

General Mathematics
Discrete Mathematics and Combinatorics
Applied Mathematics

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Three remarks on a question of Aczél

Abstract

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