Functions having the Darboux property and satisfying some functional equation
Colloquium Mathematicae (2009)
- Volume: 114, Issue: 1, page 113-118
- ISSN: 0010-1354
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topEliza Jabłońska. "Functions having the Darboux property and satisfying some functional equation." Colloquium Mathematicae 114.1 (2009): 113-118. <http://eudml.org/doc/283891>.
@article{ElizaJabłońska2009,
abstract = {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.},
author = {Eliza Jabłońska},
journal = {Colloquium Mathematicae},
keywords = {generalized Golab-Schinzel equation; Dorboux property; linear topological space},
language = {eng},
number = {1},
pages = {113-118},
title = {Functions having the Darboux property and satisfying some functional equation},
url = {http://eudml.org/doc/283891},
volume = {114},
year = {2009},
}
TY - JOUR
AU - Eliza Jabłońska
TI - Functions having the Darboux property and satisfying some functional equation
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 1
SP - 113
EP - 118
AB - 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.
LA - eng
KW - generalized Golab-Schinzel equation; Dorboux property; linear topological space
UR - http://eudml.org/doc/283891
ER -
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