Abstract
We are interested in the first prolongational limit set of the boundary of parallelizable regions of a given flow of the plane which has no fixed points. We prove that for every point from the boundary of a maximal parallelizable region, there exists exactly one orbit contained in this region which is a subset of the first prolongational limit set of the point. Using these uniquely determined orbits, we study the structure of maximal parallelizable regions.
Citation
Zbigniew Leśniak. "On Boundaries of Parallelizable Regions of Flows of Free Mappings." Abstr. Appl. Anal. 2007 1 - 8, 2007. https://doi.org/10.1155/2007/31693
Information