Mathematics – Classical Analysis and ODEs
Scientific paper
2005-04-20
Mathematics
Classical Analysis and ODEs
Scientific paper
In 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.
No associations
LandOfFree
Indices d'un operateur differentiel matriciel et applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Indices d'un operateur differentiel matriciel et applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Indices d'un operateur differentiel matriciel et applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-516365