Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures
نویسندگان
چکیده
منابع مشابه
Quasi-analytic Solutions of Analytic Ordinary Differential Equations and O-minimal Structures
It is well known that the non-spiraling leaves of real analytic foliations of codimension 1 all belong to the same o-minimal structure. Naturally, the question arises of whether the same statement is true for non-oscillating trajectories of real analytic vector fields. We show, under certain assumptions, that such a trajectory generates an o-minimal and model-complete structure together with th...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2007
ISSN: 0024-6115
DOI: 10.1112/plms/pdm016