Observatorio de I+D+i UPM

Descripción
The development of differential elimination techniques similar to the algebraic existing ones (Groebner basis and multivariate resultants) is an active field of research. Given a system $\mathcal{P}$ of $n$ linear ordinary differential polynomial parametric equations (linear DPPEs) in $n-1$ differential parameters, we proved that, if nonzero a differential resultant gives the implicit equation of $\mathcal{P}$. Unfortunately, differential resultants often vanish under specialization. Motivated by Canny's method and its generalizations, we consider now a linear perturbation of $\mathcal{P}$ and use it to give an algorithm to decide if the dimension of the implicit ideal of $\mathcal{P}$ is $n-1$ and, in the affirmative case, obtain the implicit equation of $\mathcal{P}$.
Internacional	Si
Nombre congreso	DEAM 2, Differential Equations with Algebraic Methods
Tipo de participación	960
Lugar del congreso	Linz, Austria
Revisores	Si
ISBN o ISSN	No
DOI	No
Fecha inicio congreso	11/02/2011
Fecha fin congreso	13/02/2011
Desde la página	1
Hasta la página	4
Título de las actas	No

Esta actividad pertenece a memorias de investigación

• Autor: Sonia Luisa Rueda Perez (UPM)

• Creador: Grupo de Investigación: Modelos Matemáticos no Lineales
• Departamento: Matemática Aplicada a la Edificación, al Medio Ambiente y al Urbanismo