TY  - JOUR 
AU  - Le Gal, Olivier
AU  - Matusinski, Mickaël
AU  - Sanz Sánchez, Fernando
PY  - 2021
SN  - 0213-2230
UR  - https://uvadoc.uva.es/handle/10324/68129
AB  - We introduce a notion of regular separation for solutions of systems of
ODEs y'=F(x; y), where F is definable in a polynomially bounded o-minimal
structure and y=(y1,y2). Given a pair of solutions with flat contact, we prove that,
if one of them...
LA  - eng
PB  - European Mathematical Society Press
KW  - solutions of ODEs, non-oscillating trajectories of vector fields, o-minimality, Hardy field, transcendental formal solutions
TI  - Solutions of definable ODEs with regular separation and dichotomy interlacement versus Hardy
DO  - 10.4171/RMI/1311
ER  -