Oscillation of nonlinear systems of matrix differential equations
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- by A. G. Kartsatos PDF
- Proc. Amer. Math. Soc. 30 (1971), 97-101 Request permission
Abstract:
For systems of matrix equations of the form \[ U’ = A(t,U,V)V,\quad V’ = - B(t,U,V)\] it is shown here that the oscillation problem can be reduced to the corresponding problem of “associated” (in some sense) scalar equations for which there exist numerous results. Furthermore, it is also shown that many of the existing results concerning the equation \[ (A(t)U’)’ + B(t,U,U’)U = 0\] can be considerably improved by application of the above method.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 97-101
- MSC: Primary 34.42
- DOI: https://doi.org/10.1090/S0002-9939-1971-0280798-8
- MathSciNet review: 0280798