Differential equations over polynomially bounded o-minimal structures
نویسندگان
چکیده
منابع مشابه
Differential Equations over Polynomially Bounded O-minimal Structures
We investigate the asymptotic behavior at +∞ of non-oscillatory solutions to differential equations y′ = G(t, y), t > a, where G : R1+l → Rl is definable in a polynomially bounded o-minimal structure. In particular, we show that the Pfaffian closure of a polynomially bounded o-minimal structure on the real field is levelled. A classical topic in asymptotic analysis is the study of the behavior ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06509-7