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Descripción
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| 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 $\mathcal{P}$. | |
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Internacional
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Si |
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Nombre congreso
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DEAM 2, Differential Equations with Algebraic Methods |
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Tipo de participación
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960 |
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Lugar del congreso
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Linz, Austria |
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Revisores
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Si |
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ISBN o ISSN
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No |
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DOI
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No |
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Fecha inicio congreso
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11/02/2011 |
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Fecha fin congreso
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13/02/2011 |
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Desde la página
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1 |
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Hasta la página
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4 |
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Título de las actas
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No |