Oscillatory criteria for nonlinear matrix differential inequalities.
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- by C. A. Swanson
- Proc. Amer. Math. Soc. 24 (1970), 824-827
- DOI: https://doi.org/10.1090/S0002-9939-1970-0259248-2
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Abstract:
Oscillation criteria are established for nonlinear matrix differential equations of the form $[A(x)V’]’ + B(x,\;V,\;V’)V = 0$ and associated differential inequalities. The hypothesis used recently by E. C. Tomastik, that $A$ and $B$ are positive definite, is weakened to the following: $A$ is positive semidefinite.References
- C. A. Swanson, Comparison and oscillation theory of linear differential equations, Mathematics in Science and Engineering, Vol. 48, Academic Press, New York-London, 1968. MR 0463570
- C. A. Swanson, Comparison theorems for elliptic differential systems, Pacific J. Math. 33 (1970), 445–450. MR 262650, DOI 10.2140/pjm.1970.33.445
- 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
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 24 (1970), 824-827
- MSC: Primary 34.42
- DOI: https://doi.org/10.1090/S0002-9939-1970-0259248-2
- MathSciNet review: 0259248