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Oscillation criteria for nonlinear matrix differential equations


Author: Kurt Kreith
Journal: Proc. Amer. Math. Soc. 26 (1970), 270-272
MSC: Primary 34.42
DOI: https://doi.org/10.1090/S0002-9939-1970-0264163-4
MathSciNet review: 0264163
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Abstract: Oscillation criteria are established for nonlinear matrix differential equations of the form $ [R(t)U']' + F(t,U,U') = 0$. These criteria are more general than some similar ones of E. C. Tomastik insofar as they do not require $ F$ to be positive definite.


References [Enhancements On Off] (What's this?)

  • [1] E. C. Tomastik, Oscillation of nonlinear matrix differential equations of second order, Proc. Amer. Math. Soc. 19 (1968), 1427-1431. MR 38 #372. MR 0232046 (38:372)
  • [2] E. L. Ince, Ordinary differential equations, Longmans, Green, London, 1926; reprint, Dover, New York, 1944. MR 6, 65. MR 0010757 (6:65f)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0264163-4
Keywords: Oscillation criteria, prepared solution, Picone-type identity, Sturm-Liouville equation, Leighton oscillation criterion
Article copyright: © Copyright 1970 American Mathematical Society

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