Sur une propriété du système d'équations différentielles qui définit la rotation d'un corps solide autour d'un point fixe

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1890 English Publisher:International Press of BostonJournal:Acta Mathematica, volume 14, pages 81-93 (issn: 0001-5962,

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Authors: Kowalevski, Sophie;

doi: 10.1007/bf02413316

Sur une propriété du système d'équations différentielles qui définit la rotation d'un corps solide autour d'un point fixe

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Abstract

On voit done que la condition necessaire pour que les series (2) puissent representer les integrales generales du systeme d'equations differentielles (1), n'est remplie que si les constantesA, B, C, x0,y0,z0 satisfont a l'une des quatre conditions suivantes: $$A = B = C,$$ (1) $$x_0 = y_0 = z_0 = o,$$ (2) $$A = B, x_0 = y_0 = o,$$ (3) $$A = B = 2C, z_0 = o.$$ (4)

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