| Title:
|
Riccati matrix differential equation and classification of disconjugate differential systems (English) |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
23 |
| Issue:
|
4 |
| Year:
|
1987 |
| Pages:
|
231-241 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0637.34025 |
| idMR:
|
MR930783 |
| . |
| Date available:
|
2008-06-06T06:18:10Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107300 |
| . |
| Reference:
|
[1] E. Barvínek: Quadratic phases of differential equations y" + q(x) y = 0.Arch. Math. 8 (1972), 63-78. MR 0326037 |
| Reference:
|
[2] J. H. Barrett: A Prüfer transformation of matrix differential equations.Proc. Amer. Math. Soc. 8 (1957), 510-518. MR 0087821 |
| Reference:
|
[3] O. Borůvka: Lineare Differentialtransformationen 2. Ordnung.VEB Deutscher Verlag der Wissenschaften, Berlin 1967. MR 0236448 |
| Reference:
|
[4] W. A. Coppel: Disconjugacy.Lectures Notes in Mathematics 220, Springer Verlag, Berlin-New York-Heidelberg 1971. Zbl 0224.34003, MR 0460785 |
| Reference:
|
[5] O. Došlý: On transformation of self-adjoint linear differential systems and their reciprocals.to appear. MR 2170475 |
| Reference:
|
[6] P. Hartman: Self-adjoint, nonoscillatory systems of ordinary, second order, linear equations.Duke J. Math. 24 (1957), 25-35. MR 0082591 |
| Reference:
|
[7] W. T. Reid: A Prüfer transformation for matrix differential systems.Pacific J. Math. 8 (1958), 575-584. MR 0099474 |
| Reference:
|
[8] W. T. Reid: Sturmian Theory for Ordinary Differential Equations.John Wiley, New York 1980 Zbl 0459.34001, MR 0606199 |
| Reference:
|
[9] R. L. Sternberg: Variational methods and non-oscillatory theorems for systems of differential equations.Duke J. Math. 19 (1952), 311-322. MR 0048668 |
| . |
