8 citations · 24 across the 14 of their papers we have counts for
4 papers · 1 filter
Constructing -free Hardy fields
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
We show that every Hardy field extends to an -free Hardy field. This result relates to classical oscillation criteria for second-order homogeneous linear differential equations.…
Normalizing Asymptotic Differential Equations
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
We define the universal exponential extension of an algebraically closed differential field and investigate its properties in the presence of a nice valuation and in connection wit…
On the uniqueness of maximal immediate extensions of valued differential fields
Lou van den Dries, Nigel Pynn-Coates
So far there exist just a few results about the uniqueness of maximal immediate valued differential field extensions and about the relationship between differential-algebraic maxim…
Maximal immediate extensions of valued differential fields
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
We show that every valued differential field has an immediate strict extension that is spherically complete. We also discuss the issue of uniqueness up to isomorphism of such an ex…