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 | References | Similar Articles | Additional Information
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.
- E. C. Tomastik, Oscillation of nonlinear matrix differential equations of second order, Proc. Amer. Math. Soc. 19 (1968), 1427–1431. MR 232046, DOI https://doi.org/10.1090/S0002-9939-1968-0232046-2
- E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
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Keywords:
Oscillation criteria,
prepared solution,
Picone-type identity,
Sturm-Liouville equation,
Leighton oscillation criterion
Article copyright:
© Copyright 1970
American Mathematical Society