Indices d'un operateur differentiel matriciel et applications

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dc.creatorBetina, K.
dc.date2005-04-20
dc.date.accessioned2026-07-07T05:19:16Z
dc.date.available2026-07-07T05:19:16Z
dc.descriptionIn this paper, one determines the formal index and the polynomial index of a matrix linear differential operator P with coefficients in Mn(C[x]) and detAm(x) not identically zero. Then, one applies these results to give a new proof of a Bezivin-Robba theorem equivalent to the Lindemann-Wierstrass theorem, as to find sufficient conditions on the Riccati matrix differential equation Y' = A(x)+B(x)Y +Y C(x)Y with coefficients in Mn(C[x]) so that any meromorphic solution is rational and other sufficient conditions so that the general solution is algebraic.
dc.identifierhttps://arxiv.org/abs/math/0504407
dc.identifierhttp://arxiv.org/abs/math/0504407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74957
dc.subjectClassical Analysis and ODEs
dc.subjectCommutative Algebra
dc.subject34M, 11J
dc.titleIndices d'un operateur differentiel matriciel et applications
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