On some generalization of the Gołąb-Schinzel equation



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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Published : 2013-01-15


NowakA. (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

Agata Nowak  agata.nowak@us.edu.pl
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland



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