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 | |
| State | Published - 1 Dec 2012 |
ASJC Scopus subject areas
- General Mathematics
- Discrete Mathematics and Combinatorics
- Applied Mathematics