http://hdl.handle.net/20.500.12128/14242
Title: | Differentiable solutions of functional equations in Banach spaces |
Authors: | Sablik, Maciej |
Keywords: | functional equations; equations; Banach spaces |
Issue Date: | 1993 |
Citation: | Annales Mathematicae Silesianae, Nr 7 (1993), s. 17-55 |
Abstract: | We deal with the functional equation where functions F and g are given, defined in open subsets of Banach spaces and taking values in Banach spaces as well. We prove theorems on the existtence and uniqueness of solutions of the equation in classes of differentiable functions. As corollaries we get some results on the conjugacy of diffeomorphisms. Analogous results have been known in the finite dimensional case only. |
URI: | http://hdl.handle.net/20.500.12128/14242 |
ISSN: | 0860-2107 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Sablik_Differentiable_solutions_of_functional.pdf | 1,67 MB | Adobe PDF | View/Open |
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