info:eu-repo/semantics/article
Desingularization of implicit analytic differential equations
Fecha
2006-09-11Registro en:
Cendra, Hernan; Etchechoury, María del Rosario; Desingularization of implicit analytic differential equations; IOP Publishing; Journal of Physics A: Mathematical and General; 39; 35; 11-9-2006; 10975-11001
0305-4470
1361-644
CONICET Digital
CONICET
Autor
Cendra, Hernan
Etchechoury, María del Rosario
Resumen
The question of finding solutions to a given implicit differential equation (IDE) is an important one, in part because it appears very naturally in several problems in physics, engineering and many other fields. In this work, we show how to reduce a given analytic IDE to an analytic IDE of locally constant rank. This can be done by using some fundamental results on subanalytic subsets and desingularization of closed subanalytic subsets. An example from nonholonomic mechanics is studied using these methods.