On Boundaries of Parallelizable Regions of Flows of Free Mappings

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Research Article On Boundaries of Parallelizable Regions of Flows of Free Mappings

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 o...

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ژورنال

عنوان ژورنال: Abstract and Applied Analysis

سال: 2007

ISSN: 1085-3375,1687-0409

DOI: 10.1155/2007/31693