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Proceedings of the American Mathematical Society

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Oscillation criteria for nonlinear second order matrix differential equations


Author: Garret J. Etgen
Journal: Proc. Amer. Math. Soc. 27 (1971), 259-267
MSC: Primary 34.42
DOI: https://doi.org/10.1090/S0002-9939-1971-0274859-7
MathSciNet review: 0274859
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Abstract: The object of this paper is to present sufficient conditions for the oscillation of certain solutions of the second order, nonlinear matrix differential equation. The oscillation criteria obtained here improve the recent results of the author and E. C. Tomastik. The methods employed in the paper extend a technique introduced by H. C. Howard and for the special linear version of the nonlinear equation, the resulting oscillation criteria represent improvement of Howard's work. Using an extension of the unitary transformation introduced by F. V. Atkinson, estimates of the oscillation of solutions are obtained.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0274859-7
Keywords: Nonlinear matrix differential equations, second order matrix differential equations, oscillation criteria, estimates of oscillation
Article copyright: © Copyright 1971 American Mathematical Society

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