Phase matrix of linear differential systems

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1. C. D. Ahlbrand D. B. Hinton R. T. Lewis, The effect of variable change on oscillation and disconjugacy criteria with application to spectral theory, J. Math. Anal. Appl. 81 (1981) 234-277. (1981) MR0618771
2. J. H. Barret, A Prüfer transformation for matrix differential equations, Proc. Amer. Math. Soc. 8 (1957) 510-518. (1957) MR0087821
3. R. Bellman, Introduction to Matrix Analysis, McGraw-Hill New York 1960. (1960) Zbl0124.01001MR0122820
4. O. Borůvka, Linear Differential Transformation of the Second Order, London 1971. (1971) MR0463539
5. P. Hartman, Self-adjoint, nonoscillatory systems of ordinary, second order, linear equations, Duke Math. J. 24 (1957) 25-35. (1957) MR0082591
6. M. Morse, A generalization of the Sturm separation and comparison theorem in n-space, Math. Ann. 103 (1935) 72-91. (1935) 
7. J. Radon, Zum problem von Lagrange, Abh. Math. Sem. Univ. Hamburg 6 (1928) 273 - 279. (1928) 
8. W. T. Reid, Ordinary Differential Equations, John Willey, New York 1971. (1971) Zbl0212.10901MR0273082
9. R. L. Sternberg, Variational methods and nonoscillatory theorems for systems of differential equations, Duke Math. J. 19 (1952) 311-322. (1952) MR0048668

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