On conjugacy equation in dimension one

• Autorzy: Krzysztof Ciepliński , Zbigniew Leśniak
• Języki publikacji: EN

Abstrakty

EN

In this paper, recent results on the existence and uniqueness of (continuous and homeomorphic) solutions φ of the equation φ ∘ f = g ∘ φ (f and g are given self-maps of an interval or the circle) are surveyed. Some applications of these results as well as the outcomes concerning systems of such equations are also presented.

Kategorie tematyczne

• 37C15: Topological and differentiable equivalence, conjugacy, invariants, moduli, classification
• 37E10: Maps of the circle
• 39B12: Iteration theory, iterative and composite equations
• 39B22: Equations for real functions
• 39B72: Systems of functional equations and inequalities
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2013
• Tom: 99
• Numer: 1
• Strony: 31-44

Daty

wydano

2013

Twórcy

autor

Krzysztof Ciepliński

• Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

autor

Zbigniew Leśniak

• Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Identyfikatory

DOI

10.4064/bc99-0-3