On continuous solutions of a functional equation
Annales Polonici Mathematici (1997)
- Volume: 65, Issue: 2, page 151-156
- ISSN: 0066-2216
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topKazimierz Dankiewicz. "On continuous solutions of a functional equation." Annales Polonici Mathematici 65.2 (1997): 151-156. <http://eudml.org/doc/269948>.
@article{KazimierzDankiewicz1997,
abstract = {This paper discusses continuous solutions of the functional equation φ[f(x)] = g(x,φ(x)) in topological spaces.},
author = {Kazimierz Dankiewicz},
journal = {Annales Polonici Mathematici},
keywords = {continuous solution; functional equation; extension; topological spaces},
language = {eng},
number = {2},
pages = {151-156},
title = {On continuous solutions of a functional equation},
url = {http://eudml.org/doc/269948},
volume = {65},
year = {1997},
}
TY - JOUR
AU - Kazimierz Dankiewicz
TI - On continuous solutions of a functional equation
JO - Annales Polonici Mathematici
PY - 1997
VL - 65
IS - 2
SP - 151
EP - 156
AB - This paper discusses continuous solutions of the functional equation φ[f(x)] = g(x,φ(x)) in topological spaces.
LA - eng
KW - continuous solution; functional equation; extension; topological spaces
UR - http://eudml.org/doc/269948
ER -
References
top- [1] K. Baron, On extending solutions of a functional equation, Aequationes Math. 13 (1975), 285-288. Zbl0344.39006
- [2] K. Baron, Functional equations of infinite order, Prace Nauk. Uniw. Śląsk. 265 (1978).
- [3] M. Kuczma, General solution of the functional equation φ[f(x)]=G(x,φ(x)), Ann. Polon. Math. 9 (1960), 275-284.
- [4] M. Kuczma, Functional Equations in a Single Variable, Monograf. Mat. 46, PWN, Warszawa, 1968.
- [5] M. Kuczma, B. Choczewski and R. Ger, Iterative Functional Equations, Encyclopedia Math. Appl. 32, Cambridge Univ. Press, 1990. Zbl0703.39005
- [6] M. Sablik, Differentiable solutions of functional equations in Banach spaces, Ann. Math. Sil. 7 (1993), 17-55. Zbl0805.39011
- [7] W. Smajdor, On continuous solutions of the Schröder equation, Ann. Polon. Math. 32 (1976), 111-118. Zbl0344.39004
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