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A Prüfer transformation for matrix differential equations


Author: John H. Barrett
Journal: Proc. Amer. Math. Soc. 8 (1957), 510-518
MSC: Primary 34.0X
DOI: https://doi.org/10.1090/S0002-9939-1957-0087821-7
MathSciNet review: 0087821
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  • [2] -, Matrix systems of second order differential equations, Portugaliae Mathematica, vol. 14 (1955) pp. 79-89. MR 0080219 (18:211d)
  • [3] R. A. Moore, The behavior of a linear differential equation of second order, Pacific J. Math. vol. 5 (1955) pp. 125-145. MR 0068690 (16:925b)
  • [4] M. Morse, Calculus of variations in the large, New York, 1934.
  • [5] W. T. Reid, A matrix differential equation of the Riccati type, Amer. J. Math. vol. 68 (1946) pp. 237-246. MR 0015610 (7:446a)
  • [6] R. L. Sternberg, Variational methods and non-oscillation theorems for systems of differential equations, Duke Math. J. vol. 19 (1952) pp. 311-322. MR 0048668 (14:50c)

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DOI: https://doi.org/10.1090/S0002-9939-1957-0087821-7
Article copyright: © Copyright 1957 American Mathematical Society

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