http://hdl.handle.net/20.500.12128/19837
Tytuł: | Continuous solutions to two iterative functional equations |
Autor: | Baron, Karol |
Słowa kluczowe: | Iterative functional equations; Continuous and Holder continuous solutions; Random-valued functions; Iterates; Convergence in law; Dense sets; Sets of first category; Haar zero sets |
Data wydania: | 2021 |
Źródło: | Aequationes mathematicae, (2021) |
Abstrakt: | Based on iteration of random-valued functions we study the problem of solvability in the class of continuous and Hölder continuous functions φ of the equations φ(x)=F(x)−∫Ωφ(f(x,ω))P(dω),φ(x)=F(x)+∫Ωφ(f(x,ω))P(dω), where P is a probability measure on a σ -algebra of subsets of Ω. |
Opis: | Na pierwszej stronie: Dedicated to Professor Ludwig Reich on his 80th birthday. |
URI: | http://hdl.handle.net/20.500.12128/19837 |
DOI: | 10.1007/s00010-021-00794-x |
ISSN: | 1420-8903 0001-9054 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Baron_Continuous_solutions_to_two.pdf | 406,65 kB | Adobe PDF | Przejrzyj / Otwórz |
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