6533b82dfe1ef96bd1290831
RESEARCH PRODUCT
Differential equations over polynomially bounded o-minimal structures
Jean-marie LionJean-marie LionPatrick SpeisseggerPatrick SpeisseggerChris Millersubject
CombinatoricsDiscrete mathematicsAsymptotic analysisDifferential equationApplied MathematicsGeneral MathematicsBounded functionClosure (topology)Structure (category theory)PfaffianReal fieldMathematicsdescription
We investigate the asymptotic behavior at +∞ of non-oscillatory solutions to differential equations y' = G(t, y), t > a, where G: R 1+l → R l 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-05-22 | Proceedings of the American Mathematical Society |