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- Nicole Brillouët-Belluot, Janusz Brzdȩk, Krzysztof Ciepliński
- 2014

and Applied Analysis 3 We can describe that latter result saying that the Cauchy functional equation 2.8 is HyersUlam stable (or has the Hyers-Ulam stability) in the class of functions Y . For examples of various possible definitions of stability for functional equations and some discussions on them we refer to 9 . The result of Hyers was extended by Aoki… (More)

We show that if F : S 1 → S 1 is a homeomorphism of the unit circle S 1 and the rotation number α(F) of F is irrational, then the Schröder equation Φ F (z) = e 2πiα(F) Φ(z), z ∈ S 1 , has a unique (up to a multiplicative constant) continuous at a point of the limit set of F solution. We apply this result to prove that if F is a non-trivial continuous and… (More)

- Janusz Brzdek, Krzysztof Cieplinski
- Applied Mathematics and Computation
- 2012

- Krzysztof Cieplinski
- Appl. Math. Lett.
- 2011

- Krzysztof Ciepliński, Marek Cezary Zdun
- 2009

Let I a, b , J c, d be closed, bounded, and nondegenerate i.e., neither of them consists of a single point real intervals, and let f : I → I, F : J → J be continuous functions. The aim of this paper is to discuss, under some additional assumptions on the maps f and F, the problem of topological conjugacy of f and F. More precisely, we investigate the… (More)

- Krzysztof Cieplinski
- Computers & Mathematics with Applications
- 2011

- Krzysztof Cieplinski
- Appl. Math. Lett.
- 2010

- Anna Bahyrycz, Krzysztof Cieplinski, Jolanta Olko
- Applied Mathematics and Computation
- 2015

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