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A characterization of positive linear functionals and oscillation criteria for matrix differential equations


Author: Terry Walters
Journal: Proc. Amer. Math. Soc. 78 (1980), 198-202
MSC: Primary 34C10; Secondary 34G10
DOI: https://doi.org/10.1090/S0002-9939-1980-0550493-1
MathSciNet review: 550493
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Abstract: Etgen and Pawlowski have recently given criteria for oscillation of matrix differential equations which involve the value of positive linear functionals on the matrices appearing in a matrix differential equation. We characterize these functionals and indicate relationships to eigenvalue criteria for oscillation. Our results are also useful for the detection of the oscillation of particular matrix differential equations.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0550493-1
Keywords: Oscillation, matrix differential equations, positive linear functionals
Article copyright: © Copyright 1980 American Mathematical Society

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