On a system of simultaneous iterative functional equations
Abstract
A system of two simultaneous functional equations in a single variable, related to a generalized Gołąb-Schinzel functional equation, is considered.
References
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2. W.E. Clark, A. Mukherjea, Comments on a Functional Equation, Real Analysis Exchange 6 (1980-81), 192-199.
3. N. Briliouët-Bellout, On some functional equations of Gołąb-Schinzel type, Aequationes Math. 42 (1991), 239-270.
4. J. Brzdęk, Subgroups of the group Z_n and a generalization of the Gołąb-Schinzel functional equation, Aequationes Math. 43 (1992), 59-71.
5. R. Ger, Z. Kominek, M. Sablik, Generalized Smítal's lemma and a theorem of Steinhaus, Radovi Mat. 1 (1985), 101-119.
6. M. Kuczma, Note on Microperiodic Functions, Radovi Mat. 5 (1989), 127-140.
7. M. Kuczma, B. Choczewski, R. Ger, Iterative Functional Equations, Cambridge University Press 1990.
8. A. Łomnicki, O wielookresowych funkcjach jednoznacznych zmiennej rzeczywistej, Sprawozdania Tow. Nauk. Warsz. 6 (1918), 808-846.
9. J. Matkowski, Cauchy functional equation on a restricted domain and commuting functions, Lecture Notes in Mathematics 1163 (1985), 101-106.
MatkowskiJ. (1995). On a system of simultaneous iterative functional equations. Annales Mathematicae Silesianae, 9, 123-135. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14212
Janusz Matkowski
Katedra Matematyki, Filia Politechniki Łódzkiej w Bielsku-Białej Poland
Katedra Matematyki, Filia Politechniki Łódzkiej w Bielsku-Białej Poland
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