@article{ARM_1987_23_4_a4,
author = {Do\v{s}l\'y, Ond\v{r}ej},
title = {Riccati matrix differential equation and classification of disconjugate differential systems},
journal = {Archivum mathematicum},
pages = {231--241},
year = {1987},
volume = {23},
number = {4},
mrnumber = {930783},
zbl = {0637.34025},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1987_23_4_a4/}
}
Došlý, Ondřej. Riccati matrix differential equation and classification of disconjugate differential systems. Archivum mathematicum, Tome 23 (1987) no. 4, pp. 231-241. http://geodesic.mathdoc.fr/item/ARM_1987_23_4_a4/
[1] E. Barvínek: Quadratic phases of differential equations y" + q(x) y = 0. Arch. Math. 8 (1972), 63-78. | MR
[2] J. H. Barrett: A Prüfer transformation of matrix differential equations. Proc. Amer. Math. Soc. 8 (1957), 510-518. | MR
[3] O. Borůvka: Lineare Differentialtransformationen 2. Ordnung. VEB Deutscher Verlag der Wissenschaften, Berlin 1967. | MR
[4] W. A. Coppel: Disconjugacy. Lectures Notes in Mathematics 220, Springer Verlag, Berlin-New York-Heidelberg 1971. | MR | Zbl
[5] O. Došlý: On transformation of self-adjoint linear differential systems and their reciprocals. to appear. | MR
[6] P. Hartman: Self-adjoint, nonoscillatory systems of ordinary, second order, linear equations. Duke J. Math. 24 (1957), 25-35. | MR
[7] W. T. Reid: A Prüfer transformation for matrix differential systems. Pacific J. Math. 8 (1958), 575-584. | MR
[8] W. T. Reid: Sturmian Theory for Ordinary Differential Equations. John Wiley, New York 1980 | MR | Zbl
[9] R. L. Sternberg: Variational methods and non-oscillatory theorems for systems of differential equations. Duke J. Math. 19 (1952), 311-322. | MR