On Solutions of Some Generalizations of the Goła̧b–Schinzel Equation

Eliza Jabłońska ()
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Eliza Jabłońska: Rzeszów University of Technology

Chapter Chapter 32 in Functional Equations in Mathematical Analysis, 2011, pp 509-521 from Springer

Abstract: Abstract This paper is a survey devoted to the functional equation $$f(x + M(f(x))y) = f(x)f(y),$$ which ‘connects’ the Goła̧b–Schinzel equation with the exponential one, and to its generalization $$f(x + M(f(x))y) = H(f(x),f(y)).$$ Our considerations refer to the paper : Brzdȩk, J.: The Goła̧b–Schinzel equation and its generalizations. Aequationes Math. 70, 14–24 (2005)

Keywords: Goła̧b–Schinzel functional equation; Exponential equation (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_32

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DOI: 10.1007/978-1-4614-0055-4_32

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