Differential equations over polynomially bounded o-minimal structures

DOI10.1090/S0002-9939-02-06509-7zbMath1007.03039MaRDI QIDQ3151193

Chris Miller, Patrick Speissegger, Jean-Marie Lion

Publication date: 7 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hardy fieldo-minimal structurePfaffian closurepolynomially bounded structurelevel of a function

Mathematics Subject Classification ID

Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Asymptotic expansions of solutions to ordinary differential equations (34E05) Model theory of ordered structures; o-minimality (03C64)

Related Items (11)

On the expressiveness and decidability of o-minimal hybrid systems ⋮ Zero sets of smooth functions in the Pfaffian closure of an o-minimal structure ⋮ Basics of O-minimality and Hardy Fields ⋮ Pfaffian Sets and O-minimality ⋮ Non-oscillating solutions of a differential equation and Hardy fields ⋮ Definability in o-minimal expansions of the real numbers ⋮ Approximations in globally subanalytic and Denjoy-Carleman classes ⋮ Expansions of the real field by open sets: definability versus interpretability ⋮ De l'application des méthodes valuatives en algèbre différentielle ⋮ Expansions of o-minimal structures on the real field by trajectories of linear vector fields ⋮ Solitary trajectories of analytic vector fields

Cites Work

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