TY - JOUR
AU - Zbigniew Leśniak
PY - 1995/09/29
Y2 - 2024/10/03
TI - On the system of the Abel equations on the plane
JF - Annales Mathematicae Silesianae
JA - AMSil
VL - 9
IS - 0
SE -
DO -
UR - https://journals.us.edu.pl/index.php/AMSIL/article/view/14211
AB - We find all of continuous, homeomorphic and Ck solutions of the system of the Abel equationsϕ(f(x)) = ϕ(x)+aϕ(g(x)) = ϕ(x)+b for x∈ℝ2,where a,b are linearly independent vectors and f,g are commutable orientation preserving homeomorphisms of the plane onto itself satisfying some condition which is equivalent to the fact that there exists a homeomorphic solution of the system above.
ER -