[HTML][HTML] Recent results on iteration theory: iteration groups and semigroups in the real case
In this survey paper we present some recent results in the iteration theory. Mainly, we focus
on the problems concerning real iteration groups (flows) and semigroups (semiflows) such …
on the problems concerning real iteration groups (flows) and semigroups (semiflows) such …
[PDF][PDF] On iterative roots of homeomorphisms of the circle
MC Zdun - Bull. Pol. Acad. Sci. Math, 2000 - researchgate.net
In this paper we deal with the problem of existence and uniqueness of continuous iterative
roots of homeomorphisms of the circle. Let F: S1→ S1 be a homeomorphism without …
roots of homeomorphisms of the circle. Let F: S1→ S1 be a homeomorphism without …
[PDF][PDF] Babbage equation on the circle
W Jarczyk - Publ. Math. Debrecen, 2003 - scholar.archive.org
Babbage equation on the circle Page 1 Publ. Math. Debrecen 63/3 (2003), 389–400 Babbage
equation on the circle By WITOLD JARCZYK (Zielona Góra and Katowice) Abstract. Given a …
equation on the circle By WITOLD JARCZYK (Zielona Góra and Katowice) Abstract. Given a …
[PDF][PDF] On some iterative roots on the circle
P Solarz - Publ. Math. Debrecen, 2003 - scholar.archive.org
On some iterative roots on the circle Page 1 Publ. Math. Debrecen 63/4 (2003), 677–692 On
some iterative roots on the circle By PAWE L SOLARZ (Kraków) Abstract. The aim of this paper …
some iterative roots on the circle By PAWE L SOLARZ (Kraków) Abstract. The aim of this paper …
A general class of iterative equations on the unit circle
MC Zdun, W Zhang - Czechoslovak Mathematical Journal, 2007 - Springer
A class of functional equations with nonlinear iterates is discussed on the unit circle T 1. By
lifting maps on T 1 and maps on the torus TN to Euclidean spaces and extending their …
lifting maps on T 1 and maps on the torus TN to Euclidean spaces and extending their …
On conjugacy of disjoint iteration groups on the unit circle
K Ciepliński - Annales Mathematicae Silesianae, 1999 - journals.us.edu.pl
The aim of this paper is to give a necessary and sufficient condition for conjugacy of some
iteration groups 𝓕={F t: S↦ S, t∈ ℝ} and 𝓖={G t: S↦ S, t∈ ℝ} defined on the unit circle S. Our …
iteration groups 𝓕={F t: S↦ S, t∈ ℝ} and 𝓖={G t: S↦ S, t∈ ℝ} defined on the unit circle S. Our …
On conjugacy of homeomorphisms of the circle possessing periodic points
MC Zdun - Journal of mathematical analysis and applications, 2007 - Elsevier
We give a necessary and sufficient condition for topological conjugacy of homeomorphisms
of the circle having periodic points. As an application we get the following theorem on the …
of the circle having periodic points. As an application we get the following theorem on the …
On a system of Schröder equations on the circle
K Ciepliński, MC Zdun - International Journal of Bifurcation and …, 2003 - World Scientific
Let M be an arbitrary nonempty set and for t∈ M be continuous mappings of the unit circle.
The aim of this paper is to investigate the existence of solutions (Φ, c), where is a continuous …
The aim of this paper is to investigate the existence of solutions (Φ, c), where is a continuous …
Iterative roots of some homeomorphisms with a rational rotation number
P Solarz - aequationes mathematicae, 2006 - Springer
Let F be an orientation-preserving homeomorphism of the circle onto itself having a finite
and nonempty set of periodic points. The aim of this paper is to give necessary and sufficient …
and nonempty set of periodic points. The aim of this paper is to give necessary and sufficient …
[PDF][PDF] On iterative roots of a homeomorphism of the circle with an irrational rotation number
P Solarz - Math. Pannon, 2002 - gwdg.de
The aim of this paper is to give the general construction of con-tinuous solutions of the
equation G"= F, where n Z 2 is a fixed integer and F: S1—> S1 is a given homeomorphism …
equation G"= F, where n Z 2 is a fixed integer and F: S1—> S1 is a given homeomorphism …