Geodesic
Oscillation Criteria for Matrix Differential Equations
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 184-199

Voir la notice de l'article provenant de la source Cambridge University Press

We shall be concerned at first with some properties of the solutions of the matrix differential equation 1.1 where is an n × n symmetric matrix whose elements are continuous real-valued functions for 0 < x < ∞, and Y(x) = (yij(x)), Y′′(x) = (y′′ ij(x)) are n × n matrices. It is clear such equations possess solutions for 0 < x < ∞, since one can reduce them to a first-order system and then apply known existence theorems (6, Chapter 1). 
Howard, H. C. Oscillation Criteria for Matrix Differential Equations. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 184-199. doi: 10.4153/CJM-1967-011-7
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