Oscillation criteria for nonlinear second order matrix differential equations

Etgen, Garret J.

doi:10.1090/S0002-9939-1971-0274859-7

Oscillation criteria for nonlinear second order matrix differential equations
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by Garret J. Etgen PDF

Proc. Amer. Math. Soc. 27 (1971), 259-267 Request permission

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.

References

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Garret J. Etgen, Oscillatory properties of certain nonlinear matrix differential systems of second order, Trans. Amer. Math. Soc. 122 (1966), 289–310. MR 190421, DOI 10.1090/S0002-9947-1966-0190421-1
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