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Oscillation Criteria for Matrix Differential Equations

Published online by Cambridge University Press:  20 November 2018

H. C. Howard
H. C. Howard*
Affiliation:
University of Wisconsin, Milwaukee
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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).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 184 - 199
Copyright
Copyright © Canadian Mathematical Society 1967

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