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http://hdl.handle.net/20.500.12128/14872| Title: | Continuous solutions of iterative equations of infinite order |
| Authors: | Kapica, Rafał Morawiec, Janusz |
| Keywords: | random-valued vector functions; sequences of iterates |
| Issue Date: | 2009 |
| Citation: | "Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica, Opuscula Mathematica" Vol. 29, nr 2 (2009), s. 147-155 |
| Abstract: | Given a probability space (;A; P) and a complete separable metric space X, we consider R continuous and bounded solutions ': X ! R of the equations '(x) = '(f(x; !))P(d!) and '(x) = 1 R '(f(x; !))P(d!), assuming that the given funct Rion f : X ! X is controlled by a random variable L: ! (0;1) with 1 < log L(!)P(d!) < 0. An application to a refinement type equation is also presented. |
| URI: | http://hdl.handle.net/20.500.12128/14872 |
| ISSN: | 2300-6919 1232-9274 |
| Appears in Collections: | Artykuły (WNŚiT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Kapica_Continuous_solutions_of_iterative_equations.pdf | 464,22 kB | Adobe PDF | View/Open |
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