On Solutions of a Generalization of the Goła̧b–Schinzel Functional Equation

Anna Mureńko ()
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Anna Mureńko: University of Rzeszów

Chapter Chapter 40 in Functional Equations in Mathematical Analysis, 2011, pp 659-670 from Springer

Abstract: Abstract Under some additional assumptions we characterize solutions of the functional equation $$f(x + M(f(x))y) = f(x) \circ f(y),$$ where $$f,M : \mathbb{R} \rightarrow \mathbb{R}$$ , $$\circ : {\mathbb{R}}^{2} \rightarrow \mathbb{R}$$ are unknown functions and f is continuous at a point.

Keywords: Goła̧b–Schinzel functional equation; Addition formulas (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-0055-4_40

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DOI: 10.1007/978-1-4614-0055-4_40

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