On some generalization of the Gołąb-Schinzel equation

Agata Nowak

Published: 2013-01-15

Vol. 26 (2012)

On some generalization of the Gołąb-Schinzel equation

Agata Nowak

Abstract

Inspired by a problem posed by J. Matkowski in [10] we investigate the equation
f(p(x,y)(xf(y)+y) + (1−p(x,y))(yf(x)+x))) = f(x)f(y), x,y∈ℝ,
where functions f: ℝ→ℝ, p: ℝ²→ℝ are assumed to be continuous.

Keywords:

composite equation , Gołąb-Schinzel equation , iterative equation , continuous solution

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Nowak, A. (2013). On some generalization of the Gołąb-Schinzel equation. Annales Mathematicae Silesianae, 26, 61–74. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14014

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References

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Vol. 26 (2012)
Published: 2013-01-15

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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