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Differential equations over polynomially bounded o-minimal structures |
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| Authors: | Jean-Marie Lion Chris Miller Patrick Speissegger |
| Affiliation: | Laboratoire de Topologie, Université de Bourgogne, 21078 Dijon cedex, France ; Department of Mathematics, The Ohio State University, 231 West~18th Avenue, Columbus, Ohio 43210 ; Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3 |
| Abstract: | We investigate the asymptotic behavior at  of non-oscillatory solutions to differential equations  , where  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. |
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