Oscillation Criteria for Matrix Differential Equations

Canadian Journal of Mathematics - Tập 19 - Trang 184-199 - 1967
H. C. Howard1
1University of Wisconsin–Milwaukee

Tóm tắt

We shall be concerned at first with some properties of the solutions of the matrix differential equation1.1whereis 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).

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