- Tytuł:
- The Abel equation and total solvability of linear functional equations
- Autorzy:
-
Belitskii, G.
Lyubich, Yu. - Powiązania:
- https://bibliotekanauki.pl/articles/1218826.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
functional equation
Abel equation
cohomological equation
wandering set - Opis:
- We investigate the solvability in continuous functions of the Abel equation φ(Fx) - φ(x) = 1 where F is a given continuous mapping of a topological space X. This property depends on the dynamics generated by F. The solvability of all linear equations P(x)ψ(Fx) + Q(x)ψ(x) = γ(x) follows from solvability of the Abel equation in case F is a homeomorphism. If F is noninvertible but X is locally compact then such a total solvability is determined by the same property of the cohomological equation φ(Fx) - φ(x) = γ(x). The smooth situation can also be considered in this way.
- Źródło:
-
Studia Mathematica; 1998, 127, 1; 81-97
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł