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.
ASJC Scopus subject areas
- Mathematics (all)
- Discrete Mathematics and Combinatorics
- Applied Mathematics