Functions having the Darboux property and satisfying some functional equation
Eliza Jabłońska
Colloquium Mathematicae, Tome 116 (2009), p. 113-118 / Harvested from The Polish Digital Mathematics Library
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Let X be a real linear topological space. We characterize solutions f:X → ℝ and M:ℝ → ℝ of the equation f(x+M(f(x))y) = f(x)f(y) under the assumption that f and M have the Darboux property.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:283891 
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     title = {Functions having the Darboux property and satisfying some functional equation},
     journal = {Colloquium Mathematicae},
     volume = {116},
     year = {2009},
     pages = {113-118},
     zbl = {1169.39011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-1-9}
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Eliza Jabłońska. Functions having the Darboux property and satisfying some functional equation. Colloquium Mathematicae, Tome 116 (2009) pp. 113-118. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-1-9/