Oscillation criteria for nonlinear matrix differential equations
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- by Kurt Kreith
- Proc. Amer. Math. Soc. 26 (1970), 270-272
- DOI: https://doi.org/10.1090/S0002-9939-1970-0264163-4
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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
- E. C. Tomastik, Oscillation of nonlinear matrix differential equations of second order, Proc. Amer. Math. Soc. 19 (1968), 1427–1431. MR 232046, DOI 10.1090/S0002-9939-1968-0232046-2
- E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- 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