RT info:eu-repo/semantics/article
T1 Non-interlaced solutions of 2-dimensional systems of linear ordinary differential equations
A1 Le Gal, O.
A1 Sanz, F.
A1 Speissegger, P.
K1 Ordinary differential equations, o-minimal structures
AB We consider a 2-dimensional system of linear ordinary differentialequations whose coefficients are definable in an o-minimal structure R. Weprove that either every pair of solutions at 0 of the system is interlaced or theexpansion of R by all solutions at 0 of the system is o-minimal. We also showthat if the coefficients of the system have a Taylor development of sufficientlylarge finite order, then the question of which of the two cases holds can beeffectively determined in terms of the coefficients of this Taylor development.
PB AMS
SN 0002-9939
YR 2013
FD 2013
LK https://uvadoc.uva.es/handle/10324/68179
UL https://uvadoc.uva.es/handle/10324/68179
LA eng
NO PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 141, Number 7, July 2013, Pages 2429–2438
DS UVaDOC
RD 12-sep-2024