Oscillation Criteria for Matrix Differential Equations
- 1 January 1967
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 19, 184-199
- https://doi.org/10.4153/cjm-1967-011-7
Abstract
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).Keywords
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