On some conditional functional equations of Gołąb-Schinzel type

Janusz Brzdęk

Published: 1995-09-29

Vol. 9 (1995)

On some conditional functional equations of Gołąb-Schinzel type

Janusz Brzdęk

Abstract

We consider equation (6) in the class of continuous functions f: I→ℝ satisfying (7), where f is a non-trivial real interval and n,k are fixed positive integers. The obtained results are applied to get the solutions of the system of functional equations (3)-(5) in the class of pairs of functions f,g: I→ℝ such that f is continuous. Some connections between solutions of the equations and a class of subsemigroups of some Lie groups are established as well.

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Brzdęk, J. (1995). On some conditional functional equations of Gołąb-Schinzel type. Annales Mathematicae Silesianae, 9, 65–80. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14208

References

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Vol. 9 (1995)
Published: 1995-09-29

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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