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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Oscillatory criteria for nonlinear matrix differential inequalities.


Author: C. A. Swanson
Journal: Proc. Amer. Math. Soc. 24 (1970), 824-827
MSC: Primary 34.42
DOI: https://doi.org/10.1090/S0002-9939-1970-0259248-2
MathSciNet review: 0259248
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Abstract: Oscillation criteria are established for nonlinear matrix differential equations of the form $ [A(x)V']' + B(x,\;V,\;V')V = 0$ and associated differential inequalities. The hypothesis used recently by E. C. Tomastik, that $ A$ and $ B$ are positive definite, is weakened to the following: $ A$ is positive semidefinite.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0259248-2
Keywords: Nonlinear matrix differential inequality, oscillatory differential inequality, oscillation criterion, positive semidefinite matrix
Article copyright: © Copyright 1970 American Mathematical Society