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Oscillation Criteria for Matrix Differential Inequalities(1)

Published online by Cambridge University Press:  20 November 2018

W. Allegretto  and
L. Erbe
W. Allegretto
Affiliation:
University of Alberta, Edmonton Alberta
L. Erbe
Affiliation:
University of Alberta, Edmonton Alberta
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Several authors have recently considered the problem of obtaining sufficient conditions for the oscillation of the quasilinear matrix differential equation

(1)

and the associated inequality VTLV ≤ 0 (as a form). Here A, B, and V are m x m matrix functions, A(x) is symmetric, positive semidefinite and continuous in an interval [a, ∞) and B(x,V, V') is symmetric and continuous in a≤ x < ∞ for all V and V'.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 1 , March 1973 , pp. 5 - 10
Copyright
Copyright © Canadian Mathematical Society 1973

Footnotes

(1)

This research was supported, in part by National Research Council Grants A-7673 and A-8014.

References

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