http://hdl.handle.net/20.500.12128/14357
Title: | A functional equation arising from an asymptotic formula for iterates |
Authors: | Gronau, Detlef Sablik, Maciej |
Keywords: | unctional equation; equations |
Issue Date: | 1994 |
Citation: | Annales Mathematicae Silesianae, Nr 8 (1994), s. 173-187 |
Abstract: | We consider the real solutions of the functional equation (*) ilj"'(i) = -i15(mi), i,3(0) = 0, m where m € N and ipm denotes the m-th iterate of the unknown function ip. We will handle this functional equation for a fixed m, but also for all naturals m, and give a representation of all C'2-solutions (even weaker, see Theorem 2.1) of (*), but also treat the case of other solutions of this equation. In the introduction we will show the origin of this equation. |
URI: | http://hdl.handle.net/20.500.12128/14357 |
ISSN: | 0860-2107 |
Appears in Collections: | Artykuły (WNŚiT) |
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Gronau_A_functional_equation.pdf | 603,11 kB | Adobe PDF | View/Open |
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