Recent results on functional equations in a single variable, perspectives and open problems

K Baron, W Jarczyk - Aequationes Mathematicae, 2001 - Springer
In 1990 Cambridge University Press published the by now well-known monograph Iterative
Functional Equations by Marek Kuczma, Bogdan Choczewski and Roman Ger. In the paper …

[PDF][PDF] On fractional iterates of a homeomorphism of the plane

Z Le - Annales Polonici Mathematici, 2002 - pdfs.semanticscholar.org
On fractional iterates of a homeomorphism of the plane Page 1 ANNALES POLONICI
MATHEMATICI LXXIX.2 (2002) On fractional iterates of a homeomorphism of the plane by …

On parallelizability of flows of free mappings

Z Leśniak - aequationes mathematicae, 2006 - Springer
We consider a flow of free mappings defined on the plane. We prove that the boundary of
every equivalence class of a certain equivalence relation is a union of orbits and that at most …

The embedding problem in iteration theory

MC Zdun - ESAIM: Proceedings and Surveys, 2014 - esaim-proc.org
This is a survey paper on selected topics concerning the embeddability of given mappings in
real flows. Particular attention will be paid to the relationship between the problem of the …

[引用][C] On iteration groups of singularity-free homeomorphisms of the plane

MC Zdun, Z Leśniak - Annales Mathematicae Silesianae, 1994 - journals.us.edu.pl
Let D be a topological space. A family of homeomorphisms {/' : t 6 R} defined on D is said to
be a continuous iteration group if Page 1 Annales Mathematicae Silesianae 8. Katowice …

Simultaneous Schröder/Abel equations on the topological spaces

H Farzadfard - Journal of Difference Equations and Applications, 2015 - Taylor & Francis
Let X be a topological space, G be a right topological group (ie a group endowed with a
topology under which for every a∈ G the map x↦ xa is continuous) and 𝒮 be a set of self …

[PDF][PDF] On the system of the Abel equations on the plane

Z Leśniak - Annales Mathematicae Silesianae, 1995 - journals.us.edu.pl
ON THE SYSTEM OF THE ABEL EQUATIONS ON THE PLANE Page 1 Annales
Mathematicae Silesianae 9. Katowice 1995, 105-122 Prace Naukowe Uniwersytetu …

[PDF][PDF] On continuous iteration groups of some homeomorphisms of the plane

Z LE SNIAK - Iteration Theory (ECIT 94)(Opava), Grazer Math. Ber - conferences.math.slu.cz
We consider the problem of determining all continuous iteration groups {ft: t∈ R} of a free
mapping f. Some of free mappings which are not Sperner homeomorphisms are considered …

Stability of a system of generalized trigonometric equations

I Fidytek - Annales Mathematicae Silesianae, 1995 - journals.us.edu.pl
Addition formulas for generalized trigonometric functions corresponding to a given
symmetric bounded and convex planar set containing the origin as an inner point are …