http://hdl.handle.net/20.500.12128/15958
Tytuł: | On The Functional Equation p(x)=h(x, ^[f(x)]) |
Autor: | Kominek, Zygfryd |
Słowa kluczowe: | functional equations; functions; Schroeder's equation |
Data wydania: | 1981 |
Źródło: | Demonstratio Mathematica, Vol. 14, nr 4 (1981) s. 1031-1052 |
Abstrakt: | We shall consider the system of functional equations (1) ^(x) = h^x,^ [f(x)] .... ), i=1,...,m, where the functions h^ and f of the type Rm+"' —»-R and Rn—*Rn, respectively, are given and are unknown functions. The fundamental theorems regarding the uniqueness and the existence of solutions of the class Cr in the case m=1 are. due to B.Choczewski ( [l] , [2]). This theory has been further extended by J.Matkowski [6]. Our theorem (see §3) generalizes also some result of the author obtained in the case of functions of real variable [4]. On the other hand, the system (1) may be treated as a generalization of Schroeder's equation. Therefore the results of this paper correspond to others contained in [3], [5] and [8] (Fragment tekstu). |
URI: | http://hdl.handle.net/20.500.12128/15958 |
DOI: | 10.1515/dema-1981-0420 |
ISSN: | 2391-4661 0420-1213 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
---|---|---|---|---|
Kominek_On_The_Functional_Equation.pdf | 615,54 kB | Adobe PDF | Przejrzyj / Otwórz |
Uznanie autorstwa - użycie niekomercyjne, bez utworów zależnych 3.0 Polska Creative Commons