- Tytuł:
- Solutions with big graph of iterative functional equations of the first order
- Autorzy:
- Bartłomiejczyk, Lech
- Powiązania:
- https://bibliotekanauki.pl/articles/965988.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
iterative functional equation
big graph - Opis:
- We obtain a result on the existence of a solution with big graph of functional equations of the form g(x,(x),(f(x)))=0 and we show that it is applicable to some important equations, both linear and nonlinear, including those of Abel, Böttcher and Schröder. The graph of such a solution has some strange properties: it is dense and connected, has full outer measure and is topologically big.
- Źródło:
-
Colloquium Mathematicum; 1999, 82, 2; 223-230
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł