Certain dynamical systems and quasiconformal maps (Q1117061)

Distortion theorems for solutions to the dynamic systems \(\dot y=u(y)\) are obtained under natural conditions on the behaviour of u in a convex domain \(U\subset R^ n\) with a smooth boundary. The obtained estimates are used for deriving explicit information on the modulus of continuity in the Mori's distortion theorem for normalized quasiconformal mappings of the plane unit disc.