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Three remarks on a question of Aczél

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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.

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References

  1. The Forty-Seventh International Symposium on Functional Equations, June 14–20, 2009, Gargnano, Italy, Report of Meeting, Aequationes Math., vol. 79, pp. 173–202 (2010)

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  1. Orr Moshe Shalit

    Present address: Department of Mathematics, Ben-Gurion University of the Negev, 84105, Be’er-Sheva, Israel

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  1. Department of Pure Mathematics, University of Waterloo, Waterloo, Canada

    Orr Moshe Shalit

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  1. Orr Moshe Shalit
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Correspondence to Orr Moshe Shalit.

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Shalit, O.M. Three remarks on a question of Aczél. Aequat. Math. 84, 201–205 (2012). https://doi.org/10.1007/s00010-012-0159-5

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  • DOI: https://doi.org/10.1007/s00010-012-0159-5

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