Eliza Jabłońska

ON CONTINUOUS SOLUTIONS OF AN EQUATION OF THE GOŁA̧B–SCHINZEL TYPE

We characterize solutions

On Solutions of Some Generalizations of the Goła̧b–Schinzel Equation

f,g:\mathbb{R}\to\mathbb{R}

Remarks on Analogies Between Haar Meager Sets and Haar Null Sets

of the functional equation

Some analogies between Haar meager sets and Haar null sets in abelian Polish groups

f(x+g(x)y)=f(x)f(y)

Functions having the Darboux property and satisfying some functional equation

under assumption that

Continuous on rays solutions of an equation of the Goła̧b–Schinzel type

f

Christensen measurable solutions of some functional equation

is continuous. Our considerations refer mainly to the paper [10], where J.Chudziak studied the same equation assuming that

On solutions of a generalization of the Gołab–Schinzel equation

g

Solutions of some functional equation bounded on nonzero Christensen measurable sets

is continuous. DOI: 10.1017/S0004972712000299

On locally bounded above solutions of an equation of the Goła̧b–Schinzel type

This paper is a survey devoted to the functional equation