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A reduction of a single differential equation to a system of differential equations

Le : 18/06/2008 10h30
Par : Kana ANDO (LAREMA)
Lieu :
Lien web :
Résumé : When one attempts to establish some theory of differential equations, it seems to be very effective to treat systems of differential equations rather than single differential equations. In this seminar I shall show a method of a reduction of every linear differential equation with a finit number of regular singularities and one irregular singulality to a system of linear differential equations of the form $$(t-B)\frac{dX}{dt}=(A+Ct)X.$$