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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Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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