2026-05-05T20:47:43Zhttps://uvadoc.uva.es/oai/request
oai:uvadoc.uva.es:10324/681792024-12-03T14:41:34Zcom_10324_1129com_10324_931com_10324_894col_10324_1193
Non-interlaced solutions of 2-dimensional systems of linear ordinary differential equations Le Gal, O. Sanz Sánchez, Fernando Speissegger, P. We consider a 2-dimensional system of linear ordinary differential equations whose coefficients are definable in an o-minimal structure R. We prove that either every pair of solutions at 0 of the system is interlaced or the expansion of R by all solutions at 0 of the system is o-minimal. We also show that if the coefficients of the system have a Taylor development of sufficiently large finite order, then the question of which of the two cases holds can be effectively determined in terms of the coefficients of this Taylor development. 2024-06-21 2024-06-21 2013 info:eu-repo/semantics/article PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 141, Number 7, July 2013, Pages 2429–2438 0002-9939 https://uvadoc.uva.es/handle/10324/68179 10.1090/S0002-9939-2013-11614-X 2429 7 2438 Proceedings of the American Mathematical Society 141 1088-6826 eng info:eu-repo/semantics/restrictedAccess AMS AMS