Some remarks on global analytic planar vector fields possessing an invariant analytic set

Pub Date : 2021-02-21 DOI:10.1080/14689367.2021.1872502
I. A. García
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Abstract

We study the problem of determining the canonical form that a planar analytic vector field in all the real plane can have to possess a given invariant analytic set. We determine some conditions that guarantee the only solution to this inverse problem is the trivial one.
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具有不变解析集的平面全局解析向量场的若干注释
我们研究了在所有实平面上的平面解析向量场必须具有给定不变解析集的正则形式的确定问题。我们确定了一些条件,保证这个反问题的唯一解是平凡解。
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