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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …